Blow-up results of the positive solution for a weakly coupled quasilinear parabolic system

DOI10.3934/dcdsb.2021222zbMath1500.35057OpenAlexW3199408269MaRDI QIDQ2090351

Chenyu Dong, Juntang Ding

Publication date: 25 October 2022

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2021222

zbMATH Keywords

blow-upnonlinear boundary conditionquasilinear parabolic 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) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Unnamed Item
• Unnamed Item
• Blow-up for a degenerate reaction-diffusion system with nonlinear nonlocal sources
• Blow-up, global existence and exponential decay estimates for a class of quasilinear parabolic problems
• Coexistence of simultaneous and nonsimultaneous blow-up in a semilinear parabolic system.
• Critical exponents for non-simultaneous blow-up in a localized parabolic system
• Blow-up estimates for a semilinear coupled parabolic system
• Large time behavior and uniqueness of solutions of weakly coupled system of reaction-diffusion equations
• Blow-up solutions for reaction diffusion equations with nonlocal boundary conditions
• Blow-up for a semilinear reaction-diffusion system coupled in both equations and boundary conditions.
• Optimal condition for non-simultaneous blow-up in a reaction-diffusion system
• Blow-up time estimates in porous medium equations with nonlinear boundary conditions
• Blow-up analysis for parabolic \(p\)-Laplacian equations with a gradient source term
• Blow-up phenomena in porous medium equation systems with nonlinear boundary conditions
• Global existence and blow-up phenomena for divergence form parabolic equation with time-dependent coefficient in multidimensional space
• Time-weighted blow-up profiles in a nonlinear parabolic system with Fujita exponent
• Global existence and blowing-up of solutions to a class of coupled reaction-convection-diffusion systems
• Improved conditions for single-point blow-up in reaction-diffusion systems
• Finite time blow-up for a reaction-diffusion system in bounded domain
• Blow-up rates for semi-linear reaction-diffusion systems
• GLOBAL EXISTENCE AND BLOW-UP FOR A DEGENERATE REACTION-DIFFUSION SYSTEM WITH NONLINEAR LOCALIZED SOURCES AND NONLOCAL BOUNDARY CONDITIONS
• Bounds for Blow-Up Time in Nonlinear Parabolic Systems Under Various Boundary Conditions
• Global existence and blow-up analysis for some degenerate and quasilinear parabolic systems
• Global and blow‐up analysis for a class of nonlinear reaction diffusion model with Dirichlet boundary conditions
• Finite time collapse in chemotaxis systems with logistic‐type superlinear source

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