Stlačitelný Navier-Stokes(-Fourierův) systém se setkává s Maxwell-Stefanovými rovnicemi
| Thesis title in Czech: | Stlačitelný Navier-Stokes(-Fourierův) systém se setkává s Maxwell-Stefanovými rovnicemi |
|---|---|
| Thesis title in English: | Compressible Navier-Stokes(-Fourier) system meets Maxwell-Stefan equations |
| Key words: | Navier-Stokes-Fourierův systém; Maxwell-Stefanovy rovnice; slabé řešení; entropická nerovnost; existence řešení |
| English key words: | Navier-Stokes-Fourier system; Maxwell-Stefan equations; weak solution; entropy inequality; existence of solutions |
| Academic year of topic announcement: | 2019/2020 |
| Thesis type: | dissertation |
| Thesis language: | |
| Department: | Mathematical Institute of Charles University (32-MUUK) |
| Supervisor: | prof. Mgr. Milan Pokorný, Ph.D., DSc. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 20.09.2019 |
| Date of assignment: | 20.09.2019 |
| Confirmed by Study dept. on: | 04.10.2019 |
| Advisors: | doc. RNDr. Michal Pavelka, Ph.D. |
| Guidelines |
| The aim of the study is to formulate thermodynamically correctly the compressible Navier-Stokes-Fourier-Maxwell-Stefan equations and perform analysis of the complicated system first under different simplifying assumptions and later in the full generality. |
| References |
| [1] Mucha, Piotr B., Pokorny, Milan, Zatorska, Ewelina: Heat-conducting, compressible mixtures with multicomponent diffusion: construction of a weak solution, SIAM Journal on Mathematical Analysis 47 (2015), 3747-3797.
[2] Feireisl Eduard, Novotny Antonin: Singular Limits in Thermodynamics of Viscous Fluids. Advances in Mathematical Fluid Mechanics. Birkhäuser Verlag, Basel, 2009; second edition Birkhäuser/Springer, Cham, 2017. [3] Chen, Xiuqing Jüngel, Ansgar: Analysis of an Incompressible Navier–Stokes–Maxwell–Stefan System, Commun. Math. Phys. 340 (2015), 471-494. |