Singular Perturbations of Parabolic Equations With or Without Boundary Layers

DOI10.1007/978-3-642-12110-4_10zbMath1221.35041OpenAlexW33410819MaRDI QIDQ3006923

Denis R. Akhmetov, Mikhail M. jun. Lavrentiev, Renato Spigler

Publication date: 21 June 2011

Published in: Progress in Industrial Mathematics at ECMI 2008 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-12110-4_10

zbMATH Keywords

one space dimensionhigher-order compatibility conditions

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Fokker-Planck equations (35Q84)

Cites Work

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• Singular perturbations for parabolic equations with unbounded coefficients leading to ultraparabolic equations.
• Asymptotic analysis and reaction-diffusion approximation for \(BGK\) kinetic models of chemical processes in multispecies gas mixtures
• Uniform and optimal estimates for solutions to singularly perturbed parabolic equations
• Reaction-diffusion models from the Fokker-Planck formulation ofchemical processes
• A BGK MODEL FOR CHEMICAL PROCESSES: THE REACTION-DIFFUSION APPROXIMATION

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