Regularita řešení zobecněného Navierova-Stokesova-Fourierova systému
Thesis title in Czech: | Regularita řešení zobecněného Navierova-Stokesova-Fourierova systému |
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Thesis title in English: | Regularity of solution to generalized Navier-Stokes-Fourier system |
Key words: | regularita, slabé řešení, Navierovy-Stokesovy-Fourierovy rovnice |
English key words: | regulairty, weak solution, Navier-Stokes-Fourier equations |
Academic year of topic announcement: | 2012/2013 |
Thesis type: | diploma thesis |
Thesis language: | čeština |
Department: | Mathematical Institute of Charles University (32-MUUK) |
Supervisor: | doc. RNDr. Miroslav Bulíček, Ph.D. |
Author: | hidden - assigned and confirmed by the Study Dept. |
Date of registration: | 15.11.2012 |
Date of assignment: | 28.11.2012 |
Confirmed by Study dept. on: | 21.01.2013 |
Advisors: | doc. Mgr. Petr Kaplický, Ph.D. |
Guidelines |
Student by se měl seznámit s dostupnými výsledky o regularitě nestacionárního Navierova-Stokesova-Fourierova systému a pokusit se uvedené výsledky dokázat také pro ustálené proudění. |
References |
M. Bulíček, J. Málek, K. R. Rajagopal: Mathematical analysis of unsteady flows of fluids with pressure, shear-rate and temperature dependent material moduli, that slip at solid boundaries, SIAM J. Math. Anal., 41, No. 2, 665--707, 2009
M. Bulíček, P. Kaplický and J. Málek: An L2-maximal regularity result for the evolutionary Stokes–Fourier system , Appl. Anal., 90, No. 1, 31--45, 2011 S. Antontsev and J. Rodrigues: On stationary thermo-rheological viscous flows. Annali dell Universita di Ferrara, 52, No. 1, 19–-36, 2006. |