A Variational Approach to the Stationary Solutions of the Burgers Equation

DOI10.1137/100804401zbMath1257.35004arXiv1008.0550OpenAlexW2029367074MaRDI QIDQ2904722

Marcello Ponsiglione, Lorenzo Bertini

Publication date: 23 August 2012

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.0550

zbMATH Keywords

Lyapunov functionalone space dimension\(\Gamma\)-convergenceviscous Burgers equationstanding wave solutioninhomogeneous Dirichlet problemquasi-potentialone-parameter family of minimizers

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

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