Approach to Equilibrium for a Forced Burgers Equation

2001/06/21 by W. Kirsch, Werner Kirsch, B. Simon +3
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0106023

To appear in Journal of Evolution Equations

arxiv created 2001/06/21 · openalex publication_date 2001/06/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that approach to equilibrium in certain forced Burgers equations is implied by a decay estimate on a suitable intrinsic semigroup estimate, and we verify this estimate in a variety of cases including a periodic force.

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