Spectral analysis and multidimensional stability of traveling waves for nonlocal Allen-Cahn equation

By Peter W. Bates, Fengxin Chen. 2002

48 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/9f62f02eaa64c3afdeb37b6e98624cfe1d23f3bf

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In Applied Mathematics

1. Ciprian G. Gal
2. Maurizio Grasselli

In Mathematical Physics

1. Maurizio Grasselli
2. Ciprian G. Gal

In Numerical Analysis

1. Ciprian G. Gal
2. Maurizio Grasselli

Citations in the corpus

• Longtime behavior of nonlocal Cahn-Hilliard equations (2012, result): “This can also be understood by formally rewriting the original equation in the following form φt = (I − α∆)∆ (aφ− J ∗ φ+ F (φ)) which shows that this equation is much closer to the nonlocal Allen-Cahn equation (see, for instance, [1, 2, 4, 8, 28] and references therein).”