Global existence and large‐time behavior of a parabolic phase‐field model with Neumann boundary conditions

DOI10.1002/mma.8514zbMath1529.35074OpenAlexW4283512929MaRDI QIDQ6141841

Yangxin Tang, Lin Zheng

Publication date: 20 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8514

zbMATH Keywords

nonlinear parabolic equationexistence of solutionsNeumann boundary conditionsmaximal attractorinertial set

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Dynamics of phase boundaries in solids (74N20) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Infinite-dimensional dynamical systems in mechanics and physics
• Finite dimensional exponential attractor for the phase field model
• Long-time behaviour for a model of phase-field type
• A new proof of the existence of weak solutions to a model for phase evolution driven by material forces
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