Nonexistence results for the Cauchy problem for some fractional nonlinear systems of thermo‐elasticity type

DOI10.1002/zamm.201500134OpenAlexW2288028241MaRDI QIDQ6065051

Mahmoud Qafsaoui, Mahmoud Boutefnouchet, Mukhtar Bin Muhammad Kirane, Unnamed Author

Publication date: 11 December 2023

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201500134

zbMATH Keywords

nonexistence of global solutionsdegenerate systemsstrongly coupled systemsthreshold exponent

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) PDEs in connection with mechanics of deformable solids (35Q74) Initial value problems for systems of linear higher-order PDEs (35G40)

Cites Work

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• The Role of Critical Exponents in Blowup Theorems
• Development of singularities in solutions of the equations of nonlinear thermoelasticity
• Invariant manifolds for coupled nonlinear parabolic-hyperbolic partial differential equations
• A nonexistence result to a Cauchy problem in nonlinear one-dimensional thermoelasticity
• Criticality for some evolution equations

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