Asymptotic analysis to a parabolic system with weighted localized sources and inner absorptions
DOI10.1007/S00013-012-0433-8zbMath1258.35038OpenAlexW2041420845MaRDI QIDQ1930875
Xueda Zhao, Linghua Kong, Xiao-Liu Wang
Publication date: 14 January 2013
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00013-012-0433-8
weighted functionscharacteristic algebraic systemmultiple blow-up ratesnonlinear absorptionsnonlinear localized sources
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (1)
Cites Work
- Unnamed Item
- A quasilinear reaction-diffusion system coupled via nonlocal sources
- Parabolic evolution equations and nonlinear boundary conditions
- Nonexistence of positive solutions to a semilinear elliptic system and blow-up estimates for a reaction-diffusion system
- Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source
- Critical blowup exponents for a system of reaction-diffusion equations with absorption
- Blow-up for a system of heat equations with nonlocal sources and absorptions
- Mathematical problems from combustion theory
- Critical exponents and asymptotic estimates of solutions to parabolic systems with localized nonlinear sources
- Interactions among multi-nonlinearities in a nonlinear diffusion system with absorptions and nonlinear boundary flux
- Conjugation for polynomial mappings
- A complete classification of simultaneous blow-up rates
- Asymptotic behavior for a reaction-diffusion equation with inner absorption and boundary flux
- Uniform blow-up rate for diffusion equations with nonlocal nonlinear source
- Global blow-up for a heat system with localized sources and absorptions
- Uniform blow-up profiles and boundary layer for a parabolic system with localized nonlinear reaction terms
- Critical exponents and lower bounds of blow-up rate for a reaction-diffusion system
- Uniform blow-up profile and boundary behaviour for a non-local reaction–diffusion equation with critical damping
- The Profile Near Blowup Time for Solution of the Heat Equation with a Nonlinear Boundary Condition
- Global existence and blow‐up for a system of heat equations with non‐linear boundary conditions
This page was built for publication: Asymptotic analysis to a parabolic system with weighted localized sources and inner absorptions
