Beale-Kato-Majda type condition for Burgers equation

DOI10.1016/j.jmaa.2008.12.043zbMath1173.35069arXiv0802.2733OpenAlexW1970741737MaRDI QIDQ1018294

Misha Neklyudov, Beniamin Goldys

Publication date: 19 May 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.2733

zbMATH Keywords

global existencemild solutionlarge time behaviourFeynman-Kac representationequation on the torusequation on the whole spacemultidimensional Burgers equationnon-potential forcingprobabilistic arguments

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55)

Related Items (2)

Stochastic representation of weak solutions of viscous conservation laws: a BSDE approach ⋮ Multidimensional potential Burgers turbulence

Cites Work

• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
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• Geometric theory of semilinear parabolic equations
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• The initial value problem for the Navier-Stokes equations with data in L\(^p\)
• On the nonstationary Navier-Stokes systems
• User’s guide to viscosity solutions of second order partial differential equations
• Analytic semigroups and optimal regularity in parabolic problems
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