Blow-Up Phenomena for a Class of Parabolic Systems with Time Dependent Coefficients

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Applied Mathematics

ISSN Print: 2152-7385
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"Blow-Up Phenomena for a Class of Parabolic Systems with Time Dependent Coefficients"
written by Lawrence E. Payne, Gérard A. Philippin,
published by Applied Mathematics, Vol.3 No.4, 2012

has been cited by the following article(s):

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[2]	Sufficient Conditions and Bounds Estimate of Blow-Up Time for a Fourth Order Parabolic Equation
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[3]	Blow-up of solutions to a nonlinear nonlocal reaction-diffusion system with time-dependent coefficients and inner absorption terms
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[4]	Blow-up conditions of nonlinear parabolic equations and systems under mixed nonlinear boundary conditions
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[6]	Global solutions and blow-up time estimates for a class of parabolic equations under nonlinear boundary conditions
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[7]	Blow-up results of the positive solution for a weakly coupled quasilinear parabolic system.
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[8]	具有时变系数和吸收项的非线性非局部反应扩散系统解的爆破.
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[9]	Behaviour in time of solutions to fourth-order parabolic systems with time dependent coefficients
	Piro - arXiv preprint arXiv:2209.13256, 2022

[10]	NEW BLOW-UP CRITERIA FOR A NONLOCAL REACTION-DIFFUSION SYSTEM
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[11]	Analysis on blow-up time of parabolic equation system with nonlinear boundary conditions
	2021 33rd Chinese Control and …, 2021

[12]	Blow-up phenomenon of parabolic equations with nonlocal terms under Neumann boundary conditions*
	2021 3rd International Conference on Industrial …, 2021

[13]	Blow-up results of the positive solution for a weakly coupled quasilinear parabolic system
	Discrete and Continuous Dynamical Systems-B, 2021

[14]	Blow-up analysis of solutions for weakly coupled degenerate parabolic systems with nonlinear boundary conditions
	2021

[15]	Lower bounds for the blow-up time of a nonlocal reaction-diffusion system with time-dependent coefficients
	2021

[16]	Lower Bound Estimate of Blow Up Time for the Porous Medium Equations under Dirichlet and Neumann Boundary Conditions
	2021

[17]	Remarks on blow-up phenomena in p-Laplacian heat equation with inhomogeneous nonlinearity
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[18]	Blow-up phenomena in porous medium equation systems with nonlinear boundary conditions
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[19]	Blow-up analyses in reaction–diffusion equations with nonlinear nonlocal boundary flux
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[20]	On theoretical and numerical properties of solutions to a Keller-Segel system
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[21]	Blow-up analysis for a nonlocal reaction-diffusion system with time-dependent coefficients
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[22]	Blow-up phenomena for a parabolic system with gradient nonlinearity under nonlinear boundary conditions
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[23]	Blow-up and life span estimates for a class of nonlinear degenerate parabolic system with time-dependent coefficients
	Acta Mathematica Scientia, 2017

[24]	Blow-up phenomena for a nonlinear reaction–diffusion system with time dependent coefficients
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[25]	Upper and Lower Bounds to a Class of Degenerate Parabolic Equation with Time Dependent Coefficients
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[26]	Khayyam Publishing
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[27]	Blow-up time of a Keller-Segel-type system with Neumann and Robin boundary conditions
	Differential and Integral Equations, 2016

[28]	Global existence and nonexistence for a class of parabolic systems with time-dependent coefficients
	Boundary Value Problems, 2016

[29]	Behaviour in time of solutions to a class of fourth order evolution equations
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[30]	Singularity Analysis for a Class of Porous Medium Equation with Time-Dependent Coefficients
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[31]	On explicit lower bounds and blow-up times in a model of chemotaxis
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[32]	LOWER BOUNDS FOR BLOW-UP IN A PARABOLIC-PARABOLIC KELLER-SEGEL SYSTEM
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[33]	Global existence and blow-up to a class of degenerate parabolic equation with time dependent coefficients
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[34]	Reaction-diffusion problems under non-local boundary conditions with blow-up solutions
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[35]	ESTIMATES FROM BELOW OF BLOW-UP TIME IN A PARABOLIC SYSTEM WITH GRADIENT TERM
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[36]	Explicit estimates for blow-up solutions to parabolic systems under nonlocal boundary conditions
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[37]	Blow-up and global existence for the non-local reaction diffusion problem with time dependent coefficient
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[38]	Blow-up phenomena in parabolic problems with time-dependent coefficients under Neumann boundary conditions
	Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2012

[1]	Blow-up phenomena in a class of coupled reaction-diffusion system with nonlocal boundary conditions Applied Mathematics and Computation, 2022 DOI:10.1016/j.amc.2021.126667

[2]	Blow-up conditions of nonlinear parabolic equations and systems under mixed nonlinear boundary conditions Boundary Value Problems, 2022 DOI:10.1186/s13661-022-01627-9

[3]	Blow-up results of the positive solution for a weakly coupled quasilinear parabolic system Discrete and Continuous Dynamical Systems - B, 2022 DOI:10.3934/dcdsb.2021222

[4]	Sufficient Conditions and Bounds Estimate of Blow-Up Time for a Fourth Order Parabolic Equation Qualitative Theory of Dynamical Systems, 2022 DOI:10.1007/s12346-022-00605-x

[5]	Lower bounds for the blow-up time of a nonlocal reaction-diffusion system with time-dependent coefficients Quaestiones Mathematicae, 2022 DOI:10.2989/16073606.2021.1928320

[6]	Blow-up phenomena in a class of coupled reaction-diffusion system with nonlocal boundary conditions Applied Mathematics and Computation, 2022 DOI:10.1016/j.amc.2021.126667

[7]	Global solutions and blow-up time estimates for a class of parabolic equations under nonlinear boundary conditions 2022 34th Chinese Control and Decision Conference (CCDC), 2022 DOI:10.1109/CCDC55256.2022.10034108

[8]	Global solutions and blow-up time estimates for a class of parabolic equations under nonlinear boundary conditions 2022 34th Chinese Control and Decision Conference (CCDC), 2022 DOI:10.1109/CCDC55256.2022.10034108

[9]	Global solutions and blow-up time estimates for a class of parabolic equations under nonlinear boundary conditions 2022 34th Chinese Control and Decision Conference (CCDC), 2022 DOI:10.1109/CCDC55256.2022.10034108

[10]	Global solutions and blow-up time estimates for a class of parabolic equations under nonlinear boundary conditions 2022 34th Chinese Control and Decision Conference (CCDC), 2022 DOI:10.1109/CCDC55256.2022.10034108

[11]	Blow-up analysis of solutions for weakly coupled degenerate parabolic systems with nonlinear boundary conditions Nonlinear Analysis: Real World Applications, 2021 DOI:10.1016/j.nonrwa.2021.103315

[12]	Analysis on blow-up time of parabolic equation system with nonlinear boundary conditions 2021 33rd Chinese Control and Decision Conference (CCDC), 2021 DOI:10.1109/CCDC52312.2021.9602189

[13]	Blow-up phenomenon of parabolic equations with nonlocal terms under Neumann boundary conditions* 2021 3rd International Conference on Industrial Artificial Intelligence (IAI), 2021 DOI:10.1109/IAI53119.2021.9619348

[14]	Blow-up analysis of solutions for weakly coupled degenerate parabolic systems with nonlinear boundary conditions Nonlinear Analysis: Real World Applications, 2021 DOI:10.1016/j.nonrwa.2021.103315

[15]	Blow-up phenomena in porous medium equation systems with nonlinear boundary conditions Computers & Mathematics with Applications, 2019 DOI:10.1016/j.camwa.2019.02.007

[16]	Lower bounds for the finite-time blow-up of solutions of a cancer invasion model Electronic Journal of Qualitative Theory of Differential Equations, 2019 DOI:10.14232/ejqtde.2019.1.12

[17]	Blow-up analyses in reaction–diffusion equations with nonlinear nonlocal boundary flux Zeitschrift für angewandte Mathematik und Physik, 2019 DOI:10.1007/s00033-019-1155-6

[18]	Blow-up phenomena in porous medium equation systems with nonlinear boundary conditions Computers & Mathematics with Applications, 2019 DOI:10.1016/j.camwa.2019.02.007

[19]	Blow-up phenomena in porous medium equation systems with nonlinear boundary conditions Computers & Mathematics with Applications, 2019 DOI:10.1016/j.camwa.2019.02.007

[20]	Blow-up phenomena in porous medium equation systems with nonlinear boundary conditions Computers & Mathematics with Applications, 2019 DOI:10.1016/j.camwa.2019.02.007

[21]	Blow-up analysis for a nonlocal reaction-diffusion system with time-dependent coefficients Applicable Analysis, 2018 DOI:10.1080/00036811.2018.1515924

[22]	Blow-up phenomena for a nonlinear reaction–diffusion system with time dependent coefficients Computers & Mathematics with Applications, 2017 DOI:10.1016/j.camwa.2017.07.037

[23]	Proceedings of the Tenth International Conference on Management Science and Engineering Management Advances in Intelligent Systems and Computing, 2017 DOI:10.1007/978-981-10-1837-4_73

[24]	Blow-up and life span estimates for a class of nonlinear degenerate parabolic system with time-dependent coefficients Acta Mathematica Scientia, 2017 DOI:10.1016/S0252-9602(17)30052-8

[25]	Blow-up phenomena for a parabolic system with gradient nonlinearity under nonlinear boundary conditions Computers & Mathematics with Applications, 2017 DOI:10.1016/j.camwa.2017.04.019

[26]	Behaviour in time of solutions to a class of fourth order evolution equations Journal of Mathematical Analysis and Applications, 2016 DOI:10.1016/j.jmaa.2015.11.066

[27]	Singularity Analysis for a Class of Porous Medium Equation with Time-Dependent Coefficients Advances in Mathematical Physics, 2016 DOI:10.1155/2016/8292835

[28]	Global existence and nonexistence for a class of parabolic systems with time-dependent coefficients Boundary Value Problems, 2016 DOI:10.1186/s13661-016-0550-6

[29]	On explicit lower bounds and blow-up times in a model of chemotaxis Dynamical Systems and Differential Equations, AIMS Proceedings 2015 Proceedings of the 10th AIMS International Conference (Madrid, Spain), 2015 DOI:10.3934/proc.2015.0409

[30]	Lower bounds for blow-up in a parabolic-parabolic Keller-Segel system Dynamical Systems and Differential Equations, AIMS Proceedings 2015 Proceedings of the 10th AIMS International Conference (Madrid, Spain), 2015 DOI:10.3934/proc.2015.0809

[31]	Reaction-diffusion problems under non-local boundary conditions with blow-up solutions Journal of Inequalities and Applications, 2014 DOI:10.1186/1029-242X-2014-167

[32]	Blow-up and global existence for the non-local reaction diffusion problem with time dependent coefficient Boundary Value Problems, 2013 DOI:10.1186/1687-2770-2013-239

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