Singular perturbations for phase transitions
نویسندگان
چکیده
منابع مشابه
Coupled singular perturbations for phase transitions
The Γ (L 1 (Ω; R d))-limit of the sequence Jε(u) := 1 ε Eε(u), where Eε is the family of anisotropic singular perturbations Eε(u) := Ω f (x, u(x), ε∇u(x)) dx of a non-convex functional of vector-valued functions E(u) := Ω f (x, u(x), ∇u(x)) dx is obtained where f is a non-negative energy density satisfying f (x, u, 0) = 0 if and only if u ∈ {a, b}.
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ژورنال
عنوان ژورنال: The São Paulo Journal of Mathematical Sciences
سال: 2012
ISSN: 2316-9028,1982-6907
DOI: 10.11606/issn.2316-9028.v6i2p117-134