On the convergence of a fourth order evolution equation to the Allen-Cahn equation
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Publication:965038
DOI10.1016/j.na.2010.02.003zbMath1187.35006OpenAlexW2061550663MaRDI QIDQ965038
Georgia Karali, Tonia Ricciardi
Publication date: 21 April 2010
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2010.02.003
Singular perturbations in context of PDEs (35B25) Initial value problems for higher-order parabolic systems (35K46)
Related Items (9)
Steady states and dynamics of a thin-film-type equation with non-conserved mass ⋮ On the existence of solution for a Cahn-Hilliard/Allen-Cahn equation ⋮ Global Dynamics of the Cahn-Hilliard/Allen-Cahn Equation ⋮ Optimal control problem for the Cahn-Hilliard/Allen-Cahn equation with state constraint ⋮ Global existence of weak solutions for the nonlocal energy-weighted reaction-diffusion equations ⋮ Existence of periodic solution for a Cahn-Hilliard/Allen-Cahn equation in two space dimensions ⋮ A spectral element method using the modal basis and its application in solving second‐order nonlinear partial differential equations ⋮ The Cahn-Hilliard equation and some of its variants ⋮ Numerical analysis of a Cahn-Hilliard type equation with dynamic boundary conditions
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