Well-posedness for a phase-field transition system endowed with a polynomial nonlinearity and a general class of nonlinear dynamic boundary conditions

DOI10.1007/s11784-015-0274-8zbMath1342.74008OpenAlexW2282094300MaRDI QIDQ300568

Costică Moroşanu

Publication date: 28 June 2016

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-015-0274-8

zbMATH Keywords

thermodynamicsreaction-diffusion equationsnonlinear parabolic systemsLeray-Schauder principledynamic boundary conditionsNemytskij's operatornonlinear initial-boundary value problemsqualitative properties of solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) Thermodynamics in solid mechanics (74A15) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Initial value problems for second-order parabolic systems (35K45) Partial differential equations of mathematical physics and other areas of application (35Qxx) Qualitative properties of solutions to partial differential equations (35Bxx) Thermodynamics and heat transfer (80Axx)

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