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Mathematics > Analysis of PDEs

arXiv:1806.05439 (math)
[Submitted on 14 Jun 2018 (v1), last revised 9 Aug 2022 (this version, v2)]

Title:Asymptotic Decay of Besicovitch Almost Periodic Entropy Solutions to Anisotropic Degenerate Parabolic-Hyperbolic Equations

Authors:Hermano Frid, Yachun Li
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Abstract:We prove the well-posedness and the asymptotic decay to the mean value of Besicovitch almost periodic entropy solutions to nonlinear aniso\-tropic degenerate parabolic-hyperbolic equations. After setting up the problem and its kinetic formulation on the Bohr compact, the main result, that is, the decay property, ia achieved by devising a suitable adaptation of the technique introduced by Chen and Perthame (2009) in their proof of the decay of periodic entropy solutions to the same equations.
Subjects: Analysis of PDEs (math.AP)
MSC classes: Primary 35K59, Secondary 35L65, 35K15
Cite as: arXiv:1806.05439 [math.AP]
  (or arXiv:1806.05439v2 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1806.05439

Submission history

From: Hermano Frid [view email]
[v1] Thu, 14 Jun 2018 09:56:02 UTC (29 KB)
[v2] Tue, 9 Aug 2022 22:53:46 UTC (30 KB)
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