Asymptotic behavior near transition fronts for equations of generalized Cahn-Hilliard form
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Publication:883015
DOI10.1007/s00220-006-0102-5zbMath1117.35009OpenAlexW2004567947MaRDI QIDQ883015
Publication date: 31 May 2007
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-006-0102-5
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for higher-order parabolic equations (35K30) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)
Related Items (18)
Asymptotic behavior near planar transition fronts for the Cahn-Hilliard equation ⋮ Stability of transition front solutions in multidimensional Cahn-Hilliard systems ⋮ Optimal relaxation of bump-like solutions of the one-dimensional Cahn–Hilliard equation ⋮ On the metastability of the \(1-d\) Allen-Cahn equation ⋮ Linear stability for transition front solutions in multidimensional Cahn-Hilliard systems ⋮ Asymptotic stability of the critical pulled front in a Lotka-Volterra competition model ⋮ Universal selection of pulled fronts ⋮ Asymptotic \(L^p\) stability for transition fronts in Cahn-Hilliard systems ⋮ Calculus of variations. Abstracts from the workshop held August 14--20, 2022 ⋮ Spectral analysis for periodic solutions of the Cahn-Hilliard equation on \(\mathbb R\) ⋮ Asymptotic stability analysis for transition front solutions in Cahn-Hilliard systems ⋮ The Maslov and Morse indices for system Schroedinger operators on \mathBB{R} ⋮ Spectral analysis of planar transition fronts for the Cahn-Hilliard equation ⋮ Spectral Analysis for Stationary Solutions of the Cahn–Hilliard Equation in ℝd ⋮ Optimal $L^1$-type Relaxation Rates for the Cahn--Hilliard Equation on the Line ⋮ Renormalized oscillation theory for regular linear non-Hamiltonian systems ⋮ Front fluctuations for the stochastic Cahn-Hilliard equation ⋮ Short-time existence theory toward stability for nonlinear parabolic systems
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