Zero relaxation limit in BV

Zero relaxation limit in BV

The paper considers a family of hyperbolic systems of balance laws, with source manifesting relaxation, encountered in continuum physics. It is parametrized by the relaxation time parameter μ . A class of initial data is identified for which the Cauchy problem is well-posed, in the BV setting, for a...

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Veröffentlicht in:Ricerche di matematica 2024, Vol.73 (Suppl 1), p.91-104
1. Verfasser: Dafermos, Constantine M.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Cauchy problems
Geometry
Hyperbolic systems
Mathematics
Mathematics and Statistics
Numerical Analysis
Parameter identification
Probability Theory and Stochastic Processes
Relaxation time
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Zusammenfassung:The paper considers a family of hyperbolic systems of balance laws, with source manifesting relaxation, encountered in continuum physics. It is parametrized by the relaxation time parameter μ . A class of initial data is identified for which the Cauchy problem is well-posed, in the BV setting, for all μ > 0 , and the zero relaxation limit is determined as μ → 0 .
ISSN:0035-5038
1827-3491
DOI:10.1007/s11587-023-00787-9