The linearized Israel-Stewart equations with a physical vacuum boundary
Runzhang Zhong
TL;DR
This paper studies the linearized Israel-Stewart equations for relativistic viscous fluids with a physical vacuum boundary, proving local well-posedness of the initial value problem.
Contribution
It establishes the local well-posedness of the linearized Israel-Stewart equations with physical vacuum boundary conditions.
Findings
Proved local well-posedness of the linearized equations.
Analyzed the evolution of solutions near vacuum boundaries.
Contributed to the mathematical understanding of relativistic viscous fluids.
Abstract
In this article, we consider the Israel-Stewart equations of relativistic viscous fluid dynamics with bulk viscosity. We investigate the evolution of the equations linearized about solutions that satisfy the physical vacuum boundary condition and establish local well-posedness of the corresponding Cauchy problem.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNumerical methods for differential equations