Theory and numerics of nonlinear hyperbolic consevation laws
Dynamical systems
Magnetohydrodynamics
(Relativistic) fluid dynamics
Publications
Articles in Peer-Reviewed Journals
VP: Relativistic shock profiles as an instance of two-scale spatial dynamics. Phys. D: Nonlinear Phenom. 453, 133856 (2023).
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VP: A generically singular type of saddle-node bifurcation that occurs for relativistic shock waves. Phys. D: Nonlinear Phenom. 453, 133829 (2023).
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H. Freistühler , VP: Dependence on the background viscosity of solutions to a prototypical non-strictly hyperbolic system of conservation laws. SIAM J. Math. Anal., 52(6), 5658-5674 (2020).
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Articles in Peer-Reviewed Conference Proceedings
VP: Oscillating Shock Profiles in Relativistic Fluid Dynamics. In Pares C., Castro, M.J., Morales de Luna, T., Munoz-Ruiz, M.L. (eds)
Hyperbolic Problems: Theory, Numerics, Applications. Volume I. HYP 2022. SEMA SIMAI Springer Series, vol 34. Springer, Cham. (2024) Link
