Propagations of singularities in a parabolic system with coupling nonlocal sources

DOI10.1007/s11425-008-0135-7zbMath1180.35280OpenAlexW2140336192MaRDI QIDQ1042840

J. Blot

Publication date: 7 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-008-0135-7

zbMATH Keywords

boundary layer profilesfour possible blow-up rates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Singularity in context of PDEs (35A21) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Integro-partial differential equations (35R09) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (2)

Fujita phenomena in nonlinear pseudo-parabolic system ⋮ Simultaneous and non-simultaneous blow-up criteria of solutions for a diffusion system with weighted localized sources

Cites Work

• Blow-up rates in a parabolic system of ignition model
• Single point blow-up for a semilinear initial value problem
• Total blow-up versus single point blow-up
• The blowup property of solutions to some diffusion equations with localized nonlinear reactions
• Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source
• Stability of parameterized Morse-Smale gradient-like flows
• Blow-up properties for parabolic systems with localized nonlinear sources.
• Critical exponents and asymptotic estimates of solutions to parabolic systems with localized nonlinear sources
• Uniform blow-up profiles and boundary layer for a parabolic system with localized nonlinear reaction terms
• Mathematical Analysis of Thermal Runaway for Spatially Inhomogeneous Reactions
• Blow-up in Nonlocal Reaction-Diffusion Equations
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