TY - JOUR AU - Barna, Imre Ferenc AU - Mátyás, László TI - Analytic solutions for the three-dimensional compressible Navier-Stokes equation JF - FLUID DYNAMICS RESEARCH J2 - FLUID DYN RES VL - 46 PY - 2014 IS - 5 PG - 10 SN - 0169-5983 DO - 10.1088/0169-5983/46/5/055508 UR - https://m2.mtmt.hu/api/publication/2758967 ID - 2758967 LA - English DB - MTMT ER - TY - JOUR AU - P, Tarres AU - Tóth, Bálint AU - Valkó, Benedek TI - Diffusivity bounds for 1d Brownian polymers JF - ANNALS OF PROBABILITY J2 - ANN PROBAB VL - 40 PY - 2012 IS - 2 SP - 695 EP - 713 PG - 19 SN - 0091-1798 DO - 10.1214/10-AOP630 UR - https://m2.mtmt.hu/api/publication/1379183 ID - 1379183 N1 - Funding Agency and Grant Number: Leverhulme Prize; OTKA (Hungarian National Research Fund)Orszagos Tudomanyos Kutatasi Alapprogramok (OTKA) [K 60708]; NSFNational Science Foundation (NSF) [DMS-09-05820]; Division Of Mathematical SciencesNational Science Foundation (NSF)NSF - Directorate for Mathematical & Physical Sciences (MPS) [1053280] Funding Source: National Science Foundation Funding text: Supported in part by a Leverhulme Prize.; Supported in part by OTKA (Hungarian National Research Fund) Grant K 60708.; Supported in part by the NSF Grant DMS-09-05820. Cited By :12 Export Date: 10 September 2021 Correspondence Address: Tarrès, P.; Institut de Mathématiques CNRS, 118 Route de Narbonne, 31062 Toulouse Cedex 9, France; email: tarres@math.univ-toulouse.fr Funding details: National Science Foundation, NSF, 1053280 Cited By :12 Export Date: 13 September 2021 Correspondence Address: Tarrès, P.; Institut de Mathématiques CNRS, 118 Route de Narbonne, 31062 Toulouse Cedex 9, France; email: tarres@math.univ-toulouse.fr Funding details: National Science Foundation, NSF, 1053280 LA - English DB - MTMT ER - TY - JOUR AU - Barna, Imre Ferenc TI - Self-Similar Solutions of Three-Dimensional Navier-Stokes Equation. https://m2.mtmt.hu/frontend/resources/images/open.png TS - https://m2.mtmt.hu/frontend/resources/images/open.png JF - COMMUNICATIONS IN THEORETICAL PHYSICS J2 - COMMUN THEOR PHYS VL - 56 PY - 2011 IS - 4 SP - 745 EP - 750 PG - 6 SN - 0253-6102 DO - 10.1088/0253-6102/56/4/25 UR - https://m2.mtmt.hu/api/publication/1868217 ID - 1868217 AB - 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. LA - English DB - MTMT ER - TY - JOUR AU - Vadászné Bognár, Gabriella TI - Analytic solutions to the boundary layer problem over a stretching wall JF - COMPUTERS AND MATHEMATICS WITH APPLICATIONS J2 - COMPUT MATH APPL VL - 61 PY - 2011 IS - 8 SP - 2256 EP - 2261 PG - 6 SN - 0898-1221 DO - 10.1016/j.camwa.2010.09.039 UR - https://m2.mtmt.hu/api/publication/1609835 ID - 1609835 LA - English DB - MTMT ER - TY - JOUR AU - M, Guedda AU - Kersner, Róbert TI - Non-Newtonian pseudoplastic fluids. Analytical results and exact solutions TS - Analytical results and exact solutions JF - INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS J2 - INT J NONLINEAR MECH VL - 46 PY - 2011 IS - 7 SP - 949 EP - 957 PG - 9 SN - 0020-7462 DO - 10.1016/j.ijnonlinmec.2011.04.009 UR - https://m2.mtmt.hu/api/publication/1755663 ID - 1755663 LA - English DB - MTMT ER - TY - JOUR AU - Vadászné Bognár, Gabriella TI - Estimation on the first eigenvalue for some nonlinear Dirichlet eigenvalue problems JF - NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS J2 - NONLINEAR ANAL-THEOR VL - 71 PY - 2009 IS - 12 SP - E2442 EP - E2448 SN - 0362-546X DO - 10.1016/j.na.2009.05.039 UR - https://m2.mtmt.hu/api/publication/1609837 ID - 1609837 LA - English DB - MTMT ER - TY - JOUR AU - Vadászné Bognár, Gabriella TI - Similarity solution of boundary layer flows for non-Newtonian fluids JF - INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION J2 - INT J NONLINEAR SCI VL - 10 PY - 2009 IS - 11-12 SP - 1555 EP - 1566 PG - 12 SN - 1565-1339 DO - 10.1515/IJNSNS.2009.10.11-12.1555 UR - https://m2.mtmt.hu/api/publication/1609838 ID - 1609838 LA - English DB - MTMT ER - TY - JOUR AU - Vadászné Bognár, Gabriella TI - Local analytic solutions to some nonhomogeneous problems with p-Laplacian JF - ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS J2 - ELECTRON J QUAL THEOR DIFFER EQUAT VL - 2007 PY - 2008 IS - 4 SP - 1 EP - 8 PG - 8 SN - 1417-3875 UR - https://m2.mtmt.hu/api/publication/1609272 ID - 1609272 LA - English DB - MTMT ER - TY - JOUR AU - M, Benlahsena AU - M, Guedda AU - Kersner, Róbert TI - The Generalized Blasius equation revisited JF - MATHEMATICAL AND COMPUTER MODELLING J2 - MATH COMPUT MODEL VL - 47 PY - 2008 IS - 9-10 SP - 1063 EP - 1076 PG - 14 SN - 0895-7177 DO - 10.1016/j.mcm.2007.06.019 UR - https://m2.mtmt.hu/api/publication/1755705 ID - 1755705 LA - English DB - MTMT ER -