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

2018/06/14 by Hermano Frid, Frid, Hermano, Yachun Li +1
Computer Science · Engineering · Mathematics · #35K15 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Primary 35K59 #Secondary 35L65 #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1806.05439

openalex publication_date 2018/06/14 · openalex created_date 2018/06/21 · openalex updated_date 2026/07/28

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.

Citations

• Divergence-Measure Fields and Hyperbolic Conservation Laws

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