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Lax Equivalence for Hyperbolic Relaxation Approximations
- Publication Year :
- 2023
-
Abstract
- This paper investigates the zero relaxation limit for general linear hyperbolic relaxation systems and establishes the asymptotic convergence of slow variables under the unimprovable weakest stability condition, akin to the Lax equivalence theorem for hyperbolic relaxation approximations. Despite potential high oscillations, the convergence of macroscopic variables is established in the strong $L^\infty_t L^2_x$ sense rather than the sense of weak convergence, time averaging, or ensemble averaging.<br />Comment: 32 pages
- Subjects :
- Mathematics - Analysis of PDEs
35B40, 35L45, 35E15
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2311.10662
- Document Type :
- Working Paper