TY - JOUR AU - Barna, Imre Ferenc AU - Matyas, L AU - Pocsai, Mihály András TI - Self-similar analysis of a viscous heated Oberbeck-Boussinesq flow system JF - FLUID DYNAMICS RESEARCH J2 - FLUID DYN RES VL - 52 PY - 2020 IS - 1 PG - 11 SN - 0169-5983 DO - 10.1088/1873-7005/ab720c UR - https://m2.mtmt.hu/api/publication/31272223 ID - 31272223 LA - English DB - MTMT ER - TY - CHAP AU - Barna, Imre Ferenc ED - Campos, Denise TI - Self-similar analysis of various Navier-stokes equations in two or three dimensions T2 - Handbook on Navier-Stokes Equations: Theory and Applied Analysis PB - Nova Science Publishers CY - Hauppauge, New York SN - 9781536102925 PY - 2017 SP - 275 EP - 304 PG - 30 UR - https://m2.mtmt.hu/api/publication/3280035 ID - 3280035 LA - English DB - MTMT ER - 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 - 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 -