Okrajová úloha v astrofyzice

• Thesis title in Czech: Okrajová úloha v astrofyzice
• Thesis title in English: Two-point boundary value problem in astrophysics
• Academic year of topic announcement: 2017/2018
• Thesis type: diploma thesis
• Thesis language: čeština
• Department: Institute of Theoretical Physics (32-UTF)
• Supervisor: doc. Mgr. Ondřej Pejcha, Ph.D.
• Author: hidden - assigned and confirmed by the Study Dept.
• Date of registration: 21.03.2018
• Date of assignment: 21.03.2018
• Confirmed by Study dept. on: 11.07.2018

Guidelines

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.

References

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

Preliminary scope of work in English

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.