Solvability to some strongly degenerate parabolic problems

DOI10.1016/j.jmaa.2019.02.056OpenAlexW2915533092WikidataQ128323757 ScholiaQ128323757MaRDI QIDQ2633751

Atusi Tani, Mikhail M. jun. Lavrentiev

Publication date: 10 May 2019

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.02.056

zbMATH Keywords

initial-boundary value problemglobal-in-time solutionsgeneralized distancestrongly degenerate parabolic equationshyperbolic phenomena

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Partial differential equations (35-XX)

Cites Work

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• Hyperbolic phenomena in a strongly degenerate parabolic equation
• Derivative blow-up and beyond for quasilinear parabolic equations
• Solvability of nonlinear parabolic problems
• Interior derivative blow-up for quasilinear parabolic equations
• Interior gradient blow-up in a semilinear parabolic equation
• Behavior of solutions to nonlinear parabolic equations at large time
• Blow-up on the boundary for the heat equation
• A mathematical model of turbulent heat and mass transfer in stably stratified shear flow
• A Degenerate Pseudoparabolic Regularization of a Nonlinear Forward-Backward Heat Equation Arising in the Theory of Heat and Mass Exchange in Stably Stratified Turbulent Shear Flow
• Boundary value problems for strongly degenerate parabolic equations

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