Глобальные решения и решения с обострением для нелинейной диффузионной системы с источником и нелинейными граничными условиями

DOI10.26117/2079-6641-2023-43-2-9-19MaRDI QIDQ6201065

Unnamed Author, Unnamed Author

Publication date: 25 March 2024

Published in: Вестник КРАУНЦ. Физико-математические науки (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vkam597

zbMATH Keywords

blow-upcritical exponentsnonlinear boundary conditionasymptoticnonlinear diffusion system

Mathematics Subject Classification ID

Blow-up in context of PDEs (35B44) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Self-similar solutions to PDEs (35C06) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Unnamed Item
• Global existence and nonexistence for a doubly degenerate parabolic system coupled via nonlinear boundary flux
• Critical curve of the non-Newtonian polytropic filtration equations coupled via nonlinear boundary flux
• Critical curves for a fast diffusive polytropic filtration system coupled via nonlinear boundary flux
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary
• The role of critical exponents in blow-up theorems: The sequel
• CRITICAL EXPONENTS FOR A DOUBLY DEGENERATE PARABOLIC SYSTEM COUPLED VIA NONLINEAR BOUNDARY FLUX
• The Role of Critical Exponents in Blowup Theorems
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations

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