Weakly regular fluid flows with bounded variation on the domain of outer communication of a Schwarzschild black hole spacetime

DOI10.1016/j.matpur.2016.04.001zbMath1354.35105arXiv1512.08253OpenAlexW2396294620MaRDI QIDQ335870

Philippe G. LeFloch, Shuyang Xiang

Publication date: 3 November 2016

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.08253

zbMATH Keywords

conservation lawshock wavehyperboliccompressible fluidrandom choice methodSchwarzschild metric

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Black holes (83C57) Shock waves and blast waves in fluid mechanics (76L05) First-order nonlinear hyperbolic equations (35L60) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Blow-up in context of PDEs (35B44)

Related Items

A numerical study of the relativistic Burgers and Euler equations on a Schwarzschild black hole exterior ⋮ Classical solutions to the relativistic Euler equations for a linearly degenerate equation of state ⋮ Global existence for a one-dimensional non-relativistic Euler model with relaxation ⋮ On the asymptotic behavior of static perfect fluids ⋮ Asymptotic Structure of Cosmological Burgers Flows in One and Two Space Dimensions: A Numerical Study ⋮ Weakly regular fluid flows with bounded variation on the domain of outer communication of a Schwarzschild black hole spacetime. II ⋮ Convergence of the finite volume method on a Schwarzschild background ⋮ Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary ⋮ Ergodicity and Hopf-Lax-Oleinik formula for fluid flows evolving around a black hole under a random forcing ⋮ Asymptotic structure of cosmological fluid flows: a numerical study

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