Solutions for a Nonlocal Conservation Law with Fading Memory

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dc.creatorChen, Gui-Qiang
dc.creatorChristoforou, Cleopatra
dc.date2006-10-16
dc.date.accessioned2026-07-07T07:29:06Z
dc.date.available2026-07-07T07:29:06Z
dc.descriptionGlobal entropy solutions in $BV$ for a scalar nonlocal conservation law with fading memory are constructed as limits of vanishing viscosity approximate solutions. The uniqueness and stability of entropy solutions in $BV$ are established, which also yield the existence of entropy solutions in $L^\infty$ while the initial data is only in $L^\infty$. Moreover, if the memory kernel depends on a relaxation parameter $\de>0$ and tends to a delta measure weakly as measures when $\de\to 0+$, then the global entropy solution sequence in $BV$ converges to an admissible solution in $BV$ for the corresponding local conservation law.
dc.description11 pages. Proceedings of American Mathematical Society, 2006 (to appear)
dc.identifierhttps://arxiv.org/abs/math/0610469
dc.identifierhttp://arxiv.org/abs/math/0610469
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117972
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35L65; 35L60; 35K40
dc.titleSolutions for a Nonlocal Conservation Law with Fading Memory
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