Spectral approximation of pattern-forming nonlinear evolution equations with double-well potentials of quadratic growth.
This paper is concerned with the analysis of a numerical algorithm for the approximate solution of a class of nonlinear evolution problems that arise as L2 gradient flow for the Modica-Mortola regularization of the functional Here γ is the interfacial energy per unit length or unit area, Td is the flat torus in Td, and σ is a nonnegative Fourier multiplier, that is continuous on ℝd, symmetric in the sense that σ(ξ) = σ(-ξ) for all ξ ∈ℝd and that decays to zero at infinity. Such functionals fe...Expand abstract
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