Publikation: Well-posedness of solutions for multi-d hyperbolized compressible Navier-Stokes equations
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2025
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A hyperbolized compressible Navier-Stokes system is considered in multi dimensions, where the parts of the stress tensor are fully relaxed. Local existence is obtained first, then global solutions for small data, with estimates being uniform in the three relaxation parameters, the latter allowing the prove a weak convergence result to the classical compressible Navier-Stokes system, globally in time, as the relaxation parameters tend to zero. Finally, a blow-up result for large data is proved.
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510 Mathematik
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HU, Yuxi, Reinhard RACKE, 2025. Well-posedness of solutions for multi-d hyperbolized compressible Navier-Stokes equationsBibTex
@techreport{Hu2025-03-05Wellp-72588,
series={Konstanzer Schriften in Mathematik},
title={Well-posedness of solutions for multi-d hyperbolized compressible Navier-Stokes equations},
year={2025},
number={414},
author={Hu, Yuxi and Racke, Reinhard}
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<dcterms:abstract>A hyperbolized compressible Navier-Stokes system is considered in multi dimensions, where the parts of the stress tensor are fully relaxed. Local existence is obtained first, then global solutions for small data, with estimates being uniform in the three relaxation parameters, the latter allowing the prove a weak convergence result to the classical compressible Navier-Stokes system, globally in time, as the relaxation parameters tend to zero. Finally, a blow-up result for large data is proved.</dcterms:abstract>
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