Global dynamics of a reaction-diffusion system with mass conservation

DOI10.1016/J.JMAA.2013.09.039zbMath1377.35138OpenAlexW2057050763MaRDI QIDQ2019043

Takashi Suzuki, Evangelos A. Latos

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.09.039

zbMATH Keywords

global dynamicschemical reaction-diffusion systemFix-Caginalp equationtotal mass conservation system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for second-order parabolic systems (35K51)

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Cites Work

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• Stability of the steady state for multi-dimensional thermoelastic systems of shape memory alloys
• Stationary solutions to a strain-gradient type thermoviscoelastic system
• Global solutions of reaction-diffusion systems
• Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
• Mean field theories and dual variation
• Stationary Fix-Caginalp equation with non-local term
• An analysis of a phase field model of a free boundary
• Geometric theory of semilinear parabolic equations
• Asymptotic behavior of the solution to the non-isothermal phase separation
• Asymptotic behavior of the solution to the non-isothermal phase field equation
• Stationary solutions to a thermoelastic system on shape memory materials
• Stationary solutions to the Falk system on shape memory alloys
• Stability and bifurcation of nonconstant solutions to a reaction–diffusion system with conservation of mass
• The chemical basis of morphogenesis
• Stability of the steady state for the Falk model system of shape memory alloys
• Analytic semigroups and optimal regularity in parabolic problems

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