Well-posedness, stability and determining modes to 3D Burgers equation in Gevrey class

DOI10.1007/s00033-020-01389-3zbMath1462.35177OpenAlexW3086447816MaRDI QIDQ2023297

Abdelkerim Chaabani, Ridha Selmi

Publication date: 3 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-020-01389-3

zbMATH Keywords

stabilitySobolev spaceexistenceturbulenceGevrey classperiodic boundary conditionsdetermining modes

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Initial-boundary value problems for second-order parabolic equations (35K20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear parabolic equations (35K58) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Well-posedness and numerical results to 3D periodic Burgers' equation in Lebesgue-Gevrey class ⋮ Determination of the 3D Navier-Stokes equations with damping

Cites Work

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• On the blow-up criterion of 3D-NSE in Sobolev-Gevrey spaces
• Analyticity of solutions for a generalized Euler equation
• Well-posedness to 3D Burgers' equation in critical Gevrey Sobolev spaces
• On the exponential type explosion of Navier-Stokes equations
• Well-posedness for the diffusive 3D Burgers equations with initial data in $H^{1/2}$
• The Three-Dimensional Navier–Stokes Equations
• Determining modes and fractal dimension of turbulent flows

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