@article{MTMT:34195117, title = {Euler–Poisson–Darboux equations and iterated fractional Brownian motions}, url = {https://m2.mtmt.hu/api/publication/34195117}, author = {Garra, R. and Orsingher, E.}, doi = {10.1007/s40590-023-00537-9}, journal-iso = {BOL SOC MAT MEX}, journal = {BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA}, volume = {29}, unique-id = {34195117}, issn = {1405-213X}, year = {2023}, eissn = {2296-4495} } @article{MTMT:34237297, title = {The Formulation of Scaling Expansion in an Euler-Poisson Dark-Fluid Model}, url = {https://m2.mtmt.hu/api/publication/34237297}, author = {Szigeti, Balázs Endre and Barna, Imre Ferenc and Barnaföldi, Gergely Gábor}, doi = {10.3390/universe9100431}, journal-iso = {UNIVERSE-BASEL}, journal = {UNIVERSE}, volume = {9}, unique-id = {34237297}, year = {2023}, eissn = {2218-1997}, orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910} } @article{MTMT:33121241, title = {Self-Similar Solutions of a Gravitating Dark Fluid}, url = {https://m2.mtmt.hu/api/publication/33121241}, author = {Barna, Imre Ferenc and Pocsai, Mihály András and Barnaföldi, Gergely Gábor}, doi = {10.3390/math10183220}, journal-iso = {MATHEMATICS-BASEL}, journal = {MATHEMATICS}, volume = {10}, unique-id = {33121241}, keywords = {Anisotropy; Self-similar solution; stiff matter; dark fluid}, year = {2022}, eissn = {2227-7390}, orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910; Pocsai, Mihály András/0000-0002-5162-5743} } @article{MTMT:33017130, title = {Time-Dependent Analytic Solutions for Water Waves above Sea of Varying Depths}, url = {https://m2.mtmt.hu/api/publication/33017130}, author = {Barna, Imre Ferenc and Pocsai, Mihály András and Matyas, Laszlo}, doi = {10.3390/math10132311}, journal-iso = {MATHEMATICS-BASEL}, journal = {MATHEMATICS}, volume = {10}, unique-id = {33017130}, abstract = {We investigate a hydrodynamic equation system which-with some approximation-is capable of describing the tsunami propagation in the open ocean with the time-dependent self-similar Ansatz. We found analytic solutions of how the wave height and velocity behave in time and space for constant and linear seabed functions. First, we study waves on open water, where the seabed can be considered relatively constant, sufficiently far from the shore. We found original shape functions for the ocean waves. In the second part of the study, we also consider a seabed which is oblique. Most of the solutions can be expressed with special functions. Finally, we apply the most common traveling wave Ansatz and present relative simple, although instructive solutions as well.}, keywords = {TEMPERATURE; Equation; SCATTERING; PROPAGATION; Partial differential equations; RAYLEIGH-BENARD CONVECTION; Self-similar solutions; BURGERS; Boussinesq; Variational iteration method; physical oceanography; tsunamis; conservation laws and constitutive relations}, year = {2022}, eissn = {2227-7390}, orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910; Pocsai, Mihály András/0000-0002-5162-5743} } @article{MTMT:32836601, title = {General self-similar solutions of diffusion equation and related constructions}, url = {https://m2.mtmt.hu/api/publication/32836601}, author = {Matyas, L and Barna, Imre Ferenc}, journal-iso = {ROM J PHYS}, journal = {ROMANIAN JOURNAL OF PHYSICS}, volume = {67}, unique-id = {32836601}, issn = {1221-146X}, year = {2022}, eissn = {1221-146X}, orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910} } @article{MTMT:31891062, title = {Reply to comment on ‘Heat conduction: a telegraph-type model with self-similar behavior of solutions’ (2010 J. Phys. A: Math. Theor. 43 375210)}, url = {https://m2.mtmt.hu/api/publication/31891062}, author = {Barna, Imre Ferenc and Kersner, Róbert}, doi = {10.1088/1751-8121/aba91c}, journal-iso = {J PHYS A-MATH THEOR}, journal = {JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL}, volume = {54}, unique-id = {31891062}, issn = {1751-8113}, keywords = {Physics, Multidisciplinary}, year = {2021}, eissn = {1751-8121}, orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910} } @article{MTMT:32499987, title = {Analytic solutions of a two-fluid hydrodynamic model}, url = {https://m2.mtmt.hu/api/publication/32499987}, author = {Barna, Imre Ferenc and Mátyás, L.}, doi = {10.3846/mma.2021.13637}, journal-iso = {MATH MODEL ANAL}, journal = {MATHEMATICAL MODELLING AND ANALYSIS}, volume = {26}, unique-id = {32499987}, issn = {1392-6292}, year = {2021}, eissn = {1648-3510}, pages = {582-590}, orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910} } @article{MTMT:32174243, title = {Stable, Explicit, Leapfrog-Hopscotch Algorithms for the Diffusion Equation}, url = {https://m2.mtmt.hu/api/publication/32174243}, author = {Nagy, Ádám and OMLE, ISSA and AL-JANABI, HUMAM KAREEM JALGHAF and Kovács, Endre and Barna, Imre Ferenc and Vadászné Bognár, Gabriella}, doi = {10.3390/computation9080092}, journal-iso = {COMPUTATION}, journal = {COMPUTATION}, volume = {9}, unique-id = {32174243}, abstract = {In this paper, we construct novel numerical algorithms to solve the heat or diffusion equation. We start with 105 different leapfrog-hopscotch algorithm combinations and narrow this selection down to five during subsequent tests. We demonstrate the performance of these top five methods in the case of large systems with random parameters and discontinuous initial conditions, by comparing them with other methods. We verify the methods by reproducing an analytical solution using a non-equidistant mesh. Then, we construct a new nontrivial analytical solution containing the Kummer functions for the heat equation with time-dependent coefficients, and also reproduce this solution. The new methods are then applied to the nonlinear Fisher equation. Finally, we analytically prove that the order of accuracy of the methods is two, and present evidence that they are unconditionally stable.}, year = {2021}, eissn = {2079-3197}, orcid-numbers = {Nagy, Ádám/0000-0001-9578-3199; OMLE, ISSA/0000-0002-1108-0099; AL-JANABI, HUMAM KAREEM JALGHAF/0000-0002-3901-3410; Kovács, Endre/0000-0002-0439-3070; Barna, Imre Ferenc/0000-0001-6206-3910; Vadászné Bognár, Gabriella/0000-0002-4070-1376} } @article{MTMT:32163099, title = {New Stable, Explicit, Shifted-Hopscotch Algorithms for the Heat Equation}, url = {https://m2.mtmt.hu/api/publication/32163099}, author = {Nagy, Ádám and Saleh, Mahmoud and OMLE, ISSA and AL-JANABI, HUMAM KAREEM JALGHAF and Kovács, Endre}, doi = {10.3390/mca26030061}, journal-iso = {MATH COMPUT APPL}, journal = {MATHEMATICAL AND COMPUTATIONAL APPLICATIONS}, volume = {26}, unique-id = {32163099}, issn = {1300-686X}, year = {2021}, eissn = {2297-8747}, orcid-numbers = {Nagy, Ádám/0000-0001-9578-3199; OMLE, ISSA/0000-0002-1108-0099; AL-JANABI, HUMAM KAREEM JALGHAF/0000-0002-3901-3410; Kovács, Endre/0000-0002-0439-3070} } @article{MTMT:31946526, title = {Comment on ‘Heat conduction: A telegraph-type model with self-similar behavior of solutions’}, url = {https://m2.mtmt.hu/api/publication/31946526}, author = {Pantokratoras, A.}, doi = {10.1088/1751-8121/aba91e}, journal-iso = {J PHYS A-MATH THEOR}, journal = {JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL}, volume = {54}, unique-id = {31946526}, issn = {1751-8113}, year = {2021}, eissn = {1751-8121} } @article{MTMT:31272217, title = {Analytic self-similar solutions of the Kardar-Parisi-Zhang interface growing equation with various noise terms}, url = {https://m2.mtmt.hu/api/publication/31272217}, author = {Barna, Imre Ferenc and Vadászné Bognár, Gabriella and Guedda, M. and Mátyás, L. and Hriczó, Krisztián}, doi = {10.3846/mma.2020.10459}, journal-iso = {MATH MODEL ANAL}, journal = {MATHEMATICAL MODELLING AND ANALYSIS}, volume = {25}, unique-id = {31272217}, issn = {1392-6292}, year = {2020}, eissn = {1648-3510}, pages = {241-256}, orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910; Vadászné Bognár, Gabriella/0000-0002-4070-1376; Hriczó, Krisztián/0000-0003-3298-6495} } @article{MTMT:31794717, title = {Analytic solutions of the two-dimensional kardar-parisi-zhang growing equation}, url = {https://m2.mtmt.hu/api/publication/31794717}, author = {Barna, Imre Ferenc and Vadászné Bognár, Gabriella and Mátyás, László and Guedda, M. and Hriczó, Krisztián}, doi = {10.1063/5.0027197}, journal-iso = {AIP CONF PROC}, journal = {AIP CONFERENCE PROCEEDINGS}, volume = {2293}, unique-id = {31794717}, issn = {0094-243X}, year = {2020}, eissn = {1551-7616}, orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910; Vadászné Bognár, Gabriella/0000-0002-4070-1376; Hriczó, Krisztián/0000-0003-3298-6495} } @article{MTMT:31272223, title = {Self-similar analysis of a viscous heated Oberbeck-Boussinesq flow system}, url = {https://m2.mtmt.hu/api/publication/31272223}, author = {Barna, Imre Ferenc and Matyas, L and Pocsai, Mihály András}, doi = {10.1088/1873-7005/ab720c}, journal-iso = {FLUID DYN RES}, journal = {FLUID DYNAMICS RESEARCH}, volume = {52}, unique-id = {31272223}, issn = {0169-5983}, year = {2020}, eissn = {1873-7005}, orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910; Pocsai, Mihály András/0000-0002-5162-5743} } @article{MTMT:31098710, title = {Solutions to Non-linear Euler-Poisson-Darboux Equations by Means of Generalized Separation of Variables}, url = {https://m2.mtmt.hu/api/publication/31098710}, author = {Garra, R. and Orsingher, E. and Shishkina, E. L.}, doi = {10.1134/S1995080219050093}, journal-iso = {LOBACHEVSKII J MATHEMATICS}, journal = {LOBACHEVSKII JOURNAL OF MATHEMATICS}, volume = {40}, unique-id = {31098710}, issn = {1818-9962}, abstract = {This paper examines solutions to some non-linear equations which generalize well-known equations such as the Euler-Poisson-Darboux equation, the Kolmogorov-Petrovsky-Piskunov equation and telegraph-type equations. The method of generalized separation of variables is here used to derive new exact solutions to these equations.}, keywords = {Bessel operators; non-linear Euler-Poisson-Darboux equation; Kolmogorov-Petrovsky-Piskunov equation; nonlinear telegraph-type equation}, year = {2019}, eissn = {1995-0802}, pages = {640-647} } @article{MTMT:30307727, title = {Self-Similarity Analysis of the Nonlinear Schrodinger Equation in the Madelung Form}, url = {https://m2.mtmt.hu/api/publication/30307727}, author = {Barna, Imre Ferenc and Pocsai, Mihály András and Mátyás, László}, doi = {10.1155/2018/7087295}, journal-iso = {ADV MATH PHYS}, journal = {ADVANCES IN MATHEMATICAL PHYSICS}, volume = {2018}, unique-id = {30307727}, issn = {1687-9120}, abstract = {In the present study a particular case of Gross-Pitaevskii or nonlinear Schrodinger equation is rewritten to a form similar to a hydrodynamic Euler equation using the Madelung transformation. The obtained system of differential equations is highly nonlinear. Regarding the solutions, a larger coefficient of the nonlinear term yields stronger deviation of the solution from the linear case.}, year = {2018}, eissn = {1687-9139}, orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910; Pocsai, Mihály András/0000-0002-5162-5743} } @{MTMT:3280035, title = {Self-similar analysis of various Navier-stokes equations in two or three dimensions}, url = {https://m2.mtmt.hu/api/publication/3280035}, author = {Barna, Imre Ferenc}, booktitle = {Handbook on Navier-Stokes Equations: Theory and Applied Analysis}, unique-id = {3280035}, year = {2017}, pages = {275-304}, orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910} } @article{MTMT:26093126, title = {Random flights related to the Euler-Poisson - Darboux equation}, url = {https://m2.mtmt.hu/api/publication/26093126}, author = {Garra, R and Orsingher, E}, journal-iso = {MARKOV PROCESS RELAT FIELDS}, journal = {MARKOV PROCESSES AND RELATED FIELDS}, volume = {22}, unique-id = {26093126}, issn = {1024-2953}, year = {2016}, eissn = {1024-2953}, pages = {87-110} } @article{MTMT:2758967, title = {Analytic solutions for the three-dimensional compressible Navier-Stokes equation}, url = {https://m2.mtmt.hu/api/publication/2758967}, author = {Barna, Imre Ferenc and Mátyás, László}, doi = {10.1088/0169-5983/46/5/055508}, journal-iso = {FLUID DYN RES}, journal = {FLUID DYNAMICS RESEARCH}, volume = {46}, unique-id = {2758967}, issn = {0169-5983}, year = {2014}, eissn = {1873-7005}, orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910} } @article{MTMT:2839369, title = {Self-similar shock wave solutions of the nonlinear Maxwell equations}, url = {https://m2.mtmt.hu/api/publication/2839369}, author = {Barna, Imre Ferenc}, doi = {10.1088/1054-660X/24/8/086002}, journal-iso = {LASER PHYS}, journal = {LASER PHYSICS}, volume = {24}, unique-id = {2839369}, issn = {1054-660X}, year = {2014}, eissn = {1555-6611}, orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910} } @article{MTMT:2491790, title = {Analitic Solutions for the one-dimensional compressible Euler equarion with heat conduction with different kind of equation of states}, url = {https://m2.mtmt.hu/api/publication/2491790}, author = {Barna, Imre Ferenc and Mátyás, László}, doi = {10.18514/mmn.2013.694}, journal-iso = {MISKOLC MATH NOTES}, journal = {MISKOLC MATHEMATICAL NOTES}, volume = {14}, unique-id = {2491790}, issn = {1787-2405}, year = {2013}, eissn = {1787-2413}, pages = {785-799}, orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910} } @article{MTMT:2210078, title = {A general telegraph-type model for heat conduction with self-similar behaviour of solutions}, url = {https://m2.mtmt.hu/api/publication/2210078}, author = {Barna, Imre Ferenc}, journal-iso = {LASER ENG}, journal = {LASERS IN ENGINEERING}, volume = {24}, unique-id = {2210078}, issn = {0898-1507}, year = {2013}, eissn = {1029-029X}, pages = {95-104}, orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910} } @article{MTMT:2694888, title = {Remarks on the Speed of Heat Waves}, url = {https://m2.mtmt.hu/api/publication/2694888}, author = {Makai, Mihály}, doi = {10.1080/00411450.2012.671220}, journal-iso = {TRANSPORT THEOR STAT PHYS}, journal = {TRANSPORT THEORY AND STATISTICAL PHYSICS}, volume = {41}, unique-id = {2694888}, issn = {0041-1450}, year = {2012}, eissn = {1532-2424}, pages = {245-264} } @article{MTMT:1756137, title = {Heat conduction. A telegraph-type model with self-similar behavior of solutions II}, url = {https://m2.mtmt.hu/api/publication/1756137}, author = {Barna, I F and Kersner, Róbert}, journal-iso = {ADV STUDIES}, journal = {ADVANCED STUDIES IN THEORETICAL PHYSICS}, volume = {5}, unique-id = {1756137}, issn = {1313-1311}, abstract = {In our former study (J. Phys. A: Math. Theor. 43, (2010) 325210) we introduced a modified Fourier-Cattaneo law and derived a nonautonomous telegraph-type heat conduction equation which has desirable self-similar solution. Now we present a detailed in-depth analysis of this model and discuss additional analytic solutions for different parameters. The solutions have a very rich and interesting mathematical structure due to various special functions.}, keywords = {Telegraph-type equation; Self-similar solution; Heat propagation}, year = {2011}, eissn = {1314-7609}, pages = {193-205} } @article{MTMT:1868217, title = {Self-Similar Solutions of Three-Dimensional Navier-Stokes Equation. https://m2.mtmt.hu/frontend/resources/images/open.png}, url = {https://m2.mtmt.hu/api/publication/1868217}, author = {Barna, Imre Ferenc}, doi = {10.1088/0253-6102/56/4/25}, journal-iso = {COMMUN THEOR PHYS}, journal = {COMMUNICATIONS IN THEORETICAL PHYSICS}, volume = {56}, unique-id = {1868217}, issn = {0253-6102}, abstract = {In this article we will present pure three dimensional analytic solutions for the Navier-Stokes and the continuity equations in Cartesian coordinates. The key idea is the three-dimensional generalization of the well-known self-similar Ansatz of Barenblatt. A geometrical interpretation of the Ansatz is given also. The results are the Kummer functions or strongly related. Our final formula is compared with other results obtained from group theoretical approaches.}, year = {2011}, eissn = {1572-9494}, pages = {745-750}, orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910} } @article{MTMT:1871235, title = {On the speed of heat waves}, url = {https://m2.mtmt.hu/api/publication/1871235}, author = {Makai, Mihály}, doi = {10.1209/0295-5075/96/40010}, journal-iso = {EUROPHYS LETT}, journal = {EUROPHYSICS LETTERS}, volume = {96}, unique-id = {1871235}, issn = {0295-5075}, abstract = {We revisit the problem of heat conductance and diffusion, two remarkable transport processes characterized by instantaneous actions. We show that the assumption of local thermal equilibrium sets a limit to the speed of change in the distribution function of a statistical system S. A statistical system consists of a large number of components, and its state is changed through a large number if interactions among its components. A macroscopic phenomenon is obtained by averaging, thus it would be rather unexpected if any macroscopic phenomenon would exhibit a speed faster than the change rate of the distribution function itself. Using Onsager's approximation, we show that the balance equations of the extensive parameters also have solutions with finite velocities involved. At the same time the infinite speed is obtainable when second-order terms are neglected. We show how the presented technique is applied in plasma physics to determine the speeds of transport processes in fusion plasmas. Copyright (C) EPLA, 2011}, year = {2011}, eissn = {1286-4854} } @article{MTMT:1428953, title = {Heat conduction: a telegraph-type model with self-similar behavior of solutions}, url = {https://m2.mtmt.hu/api/publication/1428953}, author = {Barna, Imre Ferenc and Kersner, Róbert}, doi = {10.1088/1751-8113/43/37/375210}, journal-iso = {J PHYS A-MATH THEOR}, journal = {JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL}, volume = {43}, unique-id = {1428953}, issn = {1751-8113}, year = {2010}, eissn = {1751-8121}, orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910} } @article{MTMT:1756234, title = {A fisher/KPP-type equation with density-dependent diffusion and convection: Travelling-wave solutions}, url = {https://m2.mtmt.hu/api/publication/1756234}, author = {Gilding, B H and Kersner, Róbert}, doi = {10.1088/0305-4470/38/15/009}, journal-iso = {J PHYS A-MATH GEN}, journal = {JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL}, volume = {38}, unique-id = {1756234}, issn = {0305-4470}, abstract = {This paper concerns processes described by a nonlinear partial differential equation that is an extension of the Fisher and KPP equations including density-dependent diffusion and nonlinear convection. The set of wave speeds forwhich the equation admits a wavefront connecting its stable and unstable equilibrium states is characterized. There is a minimal wave speed. For this wave speed there is a unique wavefront which can be found explicitly. It displays a sharp propagation front. For all greater wave speeds there is a unique wavefront which does not possess this property. For such waves, the asymptotic behaviour as the equilibrium states are approached is determined. © 2005 IOP Publishing Ltd.}, year = {2005}, eissn = {1361-6447}, pages = {3367-3379} } @article{MTMT:1756217, title = {Instantaneous extinction, step discontinuities and blow-up}, url = {https://m2.mtmt.hu/api/publication/1756217}, author = {Gilding, B H and Kersner, Róbert}, doi = {10.1088/0951-7715/16/3/304}, journal-iso = {NONLINEARITY}, journal = {NONLINEARITY}, volume = {16}, unique-id = {1756217}, issn = {0951-7715}, abstract = {This note concerns reaction-diffusion processes which display remarkable behaviour. Everywhere the concentration, density or temperature exceeds some critical level until at some moment in time it decreases to the critical level at one point in space. At this instant, the complete profile immediately drops to the critical level at every point in space, and then remains there.}, year = {2003}, eissn = {1361-6544}, pages = {843-854} } @article{MTMT:161626, title = {On the Cauchy problem for a class of parabolic equations with variable density}, url = {https://m2.mtmt.hu/api/publication/161626}, author = {Kamin, S and Kersner, Róbert and Tesei, A}, journal-iso = {REND LINCEI-MAT APPL}, journal = {RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI}, volume = {9}, unique-id = {161626}, issn = {1120-6330}, year = {1998}, eissn = {1720-0768}, pages = {279-298} } @article{MTMT:161281, title = {Travelling waves and dynamic scaling in a singular interface equation. analytic results}, url = {https://m2.mtmt.hu/api/publication/161281}, author = {Kersner, Róbert and Vicsek, Tamásné}, doi = {10.1088/0305-4470/30/7/024}, journal-iso = {J PHYS A-MATH GEN}, journal = {JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL}, volume = {30}, unique-id = {161281}, issn = {0305-4470}, year = {1997}, eissn = {1361-6447}, pages = {2457-2465} } @article{MTMT:160250, title = {Asymptotic behaviour for an equation of superslow diffusion in a bounded domain}, url = {https://m2.mtmt.hu/api/publication/160250}, author = {Galaktionov, VA and Kersner, Róbert and Vazquez, JL}, journal-iso = {ASYMPTOTIC ANAL}, journal = {ASYMPTOTIC ANALYSIS}, volume = {8}, unique-id = {160250}, issn = {0921-7134}, year = {1994}, eissn = {1875-8576}, pages = {237-246} } @article{MTMT:159915, title = {Disappearence of interfaces in finite time}, url = {https://m2.mtmt.hu/api/publication/159915}, author = {Kamin, S and Kersner, Róbert}, doi = {10.1007/BF01020323}, journal-iso = {MECCANICA}, journal = {MECCANICA}, volume = {28}, unique-id = {159915}, issn = {0025-6455}, year = {1993}, eissn = {1572-9648}, pages = {117-120} } @article{MTMT:1788516, title = {On the free boundaries in a nonlinear diffusion-convection problem with positive initial conditions}, url = {https://m2.mtmt.hu/api/publication/1788516}, author = {Kersner, Róbert and Nicolosi, F}, doi = {10.1016/0362-546X(91)90027-X}, journal-iso = {NONLINEAR ANAL-THEOR}, journal = {NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS}, volume = {16}, unique-id = {1788516}, issn = {0362-546X}, keywords = {DIFFUSION; space-dependent convection; Nonlinear degenerate parabolic equation; free boundaries}, year = {1991}, eissn = {1873-5215}, pages = {543-552} } @article{MTMT:1788517, title = {Support properties of non-negative solutions of a degenerate logistic equation}, url = {https://m2.mtmt.hu/api/publication/1788517}, author = {Kersner, Róbert and De Mottoni, P}, doi = {10.1088/0951-7715/3/2/009}, journal-iso = {NONLINEARITY}, journal = {NONLINEARITY}, volume = {3}, unique-id = {1788517}, issn = {0951-7715}, abstract = {The authors study a degenerate parabolic equation in one space variable, whose coefficients depend on space and time. Focussing on certain classes of solutions, they point out a variety of support shapes, and they discuss their dependency on specified parameters, such as the size of the initial support.}, year = {1990}, eissn = {1361-6544}, pages = {453-474} }