Dissipation and decay estimates

DOI10.1007/s10255-004-0149-zzbMath1078.35112OpenAlexW2092042533MaRDI QIDQ1780323

Linghai Zhang

Publication date: 7 June 2005

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-004-0149-z

zbMATH Keywords

Burgers equationglobal solutionsdecay estimatesKdVFourier splitting technique

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items

Upper bound of decay rate for solutions to the Navier-Stokes-Voigt equations in \(\mathbb{R}^3\), \(L^{p}\) estimates of solutions of some partial differential equations., Time decay rate of weak solutions to the generalized MHD equations in \(\mathbb{R}^2\)

Cites Work

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• Pseudodifferential operators and nonlinear PDE
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• Large time behaviour of solutions to the navier-stokes equations
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• Lower Bounds of Rates of Decay for Solutions to the Navier-Stokes Equations
• Sharp Rate of Decay of Solutions to 2-Dimensional Navier-Stokes Equations
• Partial regularity of suitable weak solutions of the navier-stokes equations
• Decay of solution of generalized Benjamin—Bona—Mahony—Burgers equations in n-space dimensions
• On the decay of higher-order norms of the solutions of Navier–Stokes equations
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