@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} } @{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: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: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} }