Local existence and uniqueness in Sobolev spaces for first-order conformal causal relativistic viscous hydrodynamics

DOI10.3934/cpaa.2021069zbMath1477.35263OpenAlexW3142160711MaRDI QIDQ2247221

Fabio Sperotto Bemfica, Marcelo M. Disconzi, Casey Rodriguez, Yuanzhen Shao

Publication date: 17 November 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2021069

zbMATH Keywords

causalityconformal symmetrylocal existence and uniquenessrelativistic viscous fluids

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with relativity and gravitational theory (35Q75) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Global existence and decay of small solutions for quasi-linear second-order uniformly dissipative hyperbolic-hyperbolic systems ⋮ Local well-posedness and singularity formation in non-Newtonian compressible fluids ⋮ Local well-posedness in Sobolev spaces for first-order barotropic causal relativistic viscous hydrodynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local existence of solutions of self gravitating relativistic perfect fluids
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• A priori estimates for relativistic liquid bodies
• Well-posedness of the Einstein-Euler system in asymptotically flat spacetimes: the constraint equations
• Stability and causality in dissipative relativistic fluids
• Lagrangian formulation and a priori estimates for relativistic fluid flows with vacuum
• The shock development problem
• On the existence of solutions and causality for relativistic viscous conformal fluids
• On ``hard stars in general relativity
• Causal theories of dissipative relativistic fluids
• On the well-posedness of relativistic viscous fluids with non-zero vorticity
• On the well-posedness of relativistic viscous fluids
• Remarks on the Einstein-Euler-Entropy system
• Théorèmes d'existence en mécanique des fluides relativistes
• A priori estimates for a relativistic liquid with free surface boundary
• A priori estimates for solutions to the relativistic Euler equations with a moving vacuum boundary
• On a viable first-order formulation of relativistic viscous fluids and its applications to cosmology
• Anisotropic Hydrodynamics: Three Lectures

This page was built for publication: Local existence and uniqueness in Sobolev spaces for first-order conformal causal relativistic viscous hydrodynamics