Well-posedness and numerical results to 3D periodic Burgers' equation in Lebesgue-Gevrey class

DOI10.1007/978-3-030-87502-2_6OpenAlexW4312434913MaRDI QIDQ6196657

Ridha Selmi, Abdelkerim Chaabani

Publication date: 15 March 2024

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-87502-2_6

zbMATH Keywords

well-posednessBurgers equationdetermining modes

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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• On well-posedness of the Cauchy problem for 3D MHD system in critical Sobolev-Gevrey space
• Well-posedness, stability and determining modes to 3D Burgers equation in Gevrey class
• 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

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