Blow-Up vs. Global Existence for a Fujita-Type Heat Exchanger System

DOI10.1137/23m1587440arXiv2307.00843MaRDI QIDQ6124308

Unnamed Author

Publication date: 27 March 2024

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.00843

zbMATH Keywords

reaction-diffusion systemcritical exponentglobal solutionsheat exchanger systemFujita blow-up phenomena

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Critical exponents in context of PDEs (35B33) Population dynamics (general) (92D25) Initial value problems for second-order parabolic systems (35K45) Blow-up in context of PDEs (35B44)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Blow-up theories for semilinear parabolic equations
• Comparison principles for reaction-diffusion systems: Irregular comparison functions and applications to questions of stability and speed of propagation of disturbances
• Existence and non-existence of global solutions for a semilinear heat equation
• Boundedness and blow up for a semilinear reaction-diffusion system
• On the growing problem for semilinear heat equations
• Multidimensional nonlinear diffusion arising in population genetics
• Existence and behavior of solutions for a weakly coupled system of reaction-diffusion equations
• Global behavior of solutions to a reaction-diffusion system
• Fujita blow up phenomena and hair trigger effect: the role of dispersal tails
• Optimal condition for non-simultaneous blow-up in a reaction-diffusion system
• Critical blowup and global existence numbers for a weakly coupled system of reaction-diffusion equations
• The critical exponent for a weakly coupled system of the generalized Fujita type reaction-diffusion equations
• The influence of a line with fast diffusion on Fisher-KPP propagation
• The role of critical exponents in blow-up theorems: The sequel
• Fujita-type phenomenon of nonlinear coupled nonlocal diffusion system
• On the critical exponent for some semilinear reaction-diffusion systems on general domains
• Asymptotic behavior for nonlocal diffusion equations
• The Role of Critical Exponents in Blowup Theorems
• A Fujita‐type global existence—global non‐existence theorem for a system of reaction diffusion equations with differing diffusivities
• Global existence and uniqueness of a reaction–diffusion system via invariant solutions
• Global existence and blow-up for a completely coupled Fujita type system
• On nonexistence of global solutions of some semilinear parabolic differential equations
• Global existence and blow-up for a class of semilinear parabolic systems: A Cauchy Problem
• Superlinear Parabolic Problems
• Critical Fujita curve for a semilinear parabolic system with time-weighted sources
• Global existence, asymptotic behavior and self-similar solutions for a class of semilinear parabolic systems
• The field-road diffusion model: fundamental solution and asymptotic behavior