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A center manifold technique for tracing viscous waves

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Publication:1848476
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DOI10.3934/cpaa.2002.1.161zbMath1017.35071OpenAlexW2089124639MaRDI QIDQ1848476

Alberto Bressan, Stefano Bianchini

Publication date: 20 November 2002

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2002.1.161

zbMATH Keywords

stabilityglobal existencesmall BV datauniform BV bounds


Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)


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BV estimates of Lax-Friedrichs’ scheme for a class of nonlinear hyperbolic conservation laws, Existence and stability of multidimensional shock fronts in the vanishing viscosity limit, The boundary Riemann solver coming from the real vanishing viscosity approximation, Optimal control problem for viscous systems of conservation laws, with geometric parameter, and application to the shallow-water equations, Hyperbolic systems of balance laws via vanishing viscosity



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