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Analysis for Parabolic Equations Based on the Results About Ode

https://doi.org/10.2139/ssrn.4596763
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A semilinear parabolic system in a bounded domain
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Quenching, nonquenching, and beyond quenching for solution of some parabolic equations
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Non-simultaneous blow-up in a semilinear parabolic system
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Non-simultaneous quenching in a system of heat equations coupled at the boundary
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Blow-up vs. global existence for quasilinear parabolic systems with a nonlinear boundary condition
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Quenching of reaction by cellular flows
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Quenching and Propagation in KPP Reaction-Diffusion Equations with a Heat Loss
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Global Existence for Reaction-Diffusion Systems Modelling Ignition
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Blow-up set of type I blowing up solutions for nonlinear parabolic systems
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Quenching rates for heat equations with coupled singular nonlinear boundary flux
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Blow up results and localization of blow up points for the heat equation with a nonlinear boundary condition
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Finite time blowup for semilinear reactive-diffusive systems
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Quenching on the boundary
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Quenching behavior of solutions in coupled heat equations with singular multi-nonlinearities
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Recent results on blow-up and quenching for nonlinear Volterra equations
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Supersolutions for a class of nonlinear parabolic systems
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Global and nonglobal existence for a strongly coupled parabolic system on a general domain
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Global existence and finite time blow-up of solutions of a Gierer–Meinhardt system
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Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains
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Non-simultaneous versus simultaneous quenching in a coupled nonlinear parabolic system
inferredcites →https://doi.org/10.1016/s0294-1449(97)80148-5openalex-extracted
Liouville theorems and blow up behaviour in semilinear reaction diffusion systems
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Complete blow-up and incomplete quenching for the heat equation with a nonlinear boundary condition
inferredcites →https://doi.org/10.1016/s0893-9659(01)00128-8openalex-extracted
Nonsimultaneous quenching
inferredcites →https://doi.org/10.1017/s0013091500023932openalex-extracted
The profile near quenching time for the solution of a singular semilinear heat equation
inferredcites →https://doi.org/10.1017/s0308210500030523openalex-extracted
Contracting sets and dissipation
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Simultaneous and non-simultaneous quenching for coupled parabolic system
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Attractors of parabolic problems with nonlinear boundary conditions. uniform bounds
inferredcites →https://doi.org/10.1080/03605309508821160openalex-extracted
Blow-up vs. global existence for a semilinear reaction-diffusion system in a bounded domain
inferredcites →https://doi.org/10.1088/1364-7830/7/3/303openalex-extracted
Flame enhancement and quenching in fluid flows
inferredcites →https://doi.org/10.1090/qam/1247436openalex-extracted
Quenching profiles for one-dimensional semilinear heat equations
inferredcites →https://doi.org/10.1090/s0002-9939-1993-1174490-xopenalex-extracted
Stabilization of Solutions of Weakly Singular Quenching Problems
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The Formation of the Dead Core in Parabolic Reaction-Diffusion Problems
inferredcites →https://doi.org/10.1090/s0033-569x-09-01159-5openalex-extracted
A nonlocal quenching problem arising in a micro-electro mechanical system
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REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
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A Mathematical Analysis of Blowup for Thermal Reactions—the Spatially Nonhomogeneous Case
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Mathematical Analysis of Thermal Runaway for Spatially Inhomogeneous Reactions
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The Quenching of Solutions of Some Nonlinear Parabolic Equations
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A Criterion for Blow-Up of Solutions to Semilinear Heat Equations
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Quenching for Semilinear Singular Parabolic Problems
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Quenching of combustion by shear flows
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Non-simultaneous Blow-up in a Nonlinear Parabolic System
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Quenching of solutions of parabolic equations with nonlinear boundary conditions in several dimensions.
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Quenching for a parabolic system with general singular terms
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Boundedness of global solutions for nonlinear parabolic equations involving gradient blow-up phenomena
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