Okrajová úloha v astrofyzice
| Název práce v češtině: | Okrajová úloha v astrofyzice |
|---|---|
| Název v anglickém jazyce: | Two-point boundary value problem in astrophysics |
| Akademický rok vypsání: | 2017/2018 |
| Typ práce: | diplomová práce |
| Jazyk práce: | čeština |
| Ústav: | Ústav teoretické fyziky (32-UTF) |
| Vedoucí / školitel: | doc. Mgr. Ondřej Pejcha, Ph.D. |
| Řešitel: | skrytý - zadáno a potvrzeno stud. odd. |
| Datum přihlášení: | 21.03.2018 |
| Datum zadání: | 21.03.2018 |
| Datum potvrzení stud. oddělením: | 11.07.2018 |
| Zásady pro vypracování |
| The goal of this thesis is to carefully formulate difference equations of two-point boundary value problems with moving boundaries, non-uniform meshes, and arbitrary boundary conditions within the context of spherically-symmetric hydrodynamics coupled with the transport of radiation or neutrinos. These equations will then be applied to selected problems of contemporary astrophysical interest such as super-Eddington winds or stability of shock-bounded accretion, depending on the interest of the student. |
| Seznam odborné literatury |
| Press et al., Numerical Recipes
Lamers & Cassinelli, Introduction to Stellar Winds Paxton et al., 2011, ApJS, 192, 3, Modules for Experiments in Stellar Astrophysics (MESA), http://adsabs.harvard.edu/abs/2011ApJS..192....3P Pejcha & Thompson, 2012, ApJ, 746, 106, The Physics of the Neutrino Mechanism of Core-collapse Supernovae, http://adsabs.harvard.edu/abs/2012ApJ...746..106P Thompon & Burrows, 2001, ApJ, 562, 887, The Physics of Proto-Neutron Star Winds: Implications for r-Process Nucleosynthesis, http://adsabs.harvard.edu/abs/2001ApJ...562..887T Owocki et al., 2017, MNRAS, 472, 3749, Super-Eddington stellar winds: unifying radiative-enthalpy versus flux-driven models, http://adsabs.harvard.edu/abs/2017MNRAS.472.3749O Quataert et al., 2016, MNRAS, 458, 1214, Super-Eddington stellar winds driven by near-surface energy deposition, http://adsabs.harvard.edu/abs/2016MNRAS.458.1214Q Yamasaki & Yamada, 2005, ApJ, 623, 1000, Effects of Rotation on the Revival of a Stalled Shock in Supernova Explosions, http://adsabs.harvard.edu/abs/2005ApJ...623.1000Y |
| Předběžná náplň práce v anglickém jazyce |
| Two-point boundary value problem of a system of ordinary differential equations has a wide range of applications in theoretical astrophysics ranging from structure and evolution of stars and planets to accretion and outflow of gas. Although often solved by the shooting method, relaxation methods can provide superior performance for problems rich in physical detail. |