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Error estimates for full discretization of a model for Ostwald ripening
(Taylor & Francis IncPhiladelphiaEUA, 2008)
Existence and approximate solutions of a model for Ostwald ripening
(Taylor & Francis IncPhiladelphiaEUA, 2008)
MULTIPLE-END SOLUTIONS TO THE ALLEN-CAHN EQUATION IN R2
(2010)
We construct a new class of entire solutions for the Allen-Cahn equation
u + (1 �� u2)u = 0, in R2( C). Given k 1, we nd a family of solutions whose
zero level sets are, away from a compact set, asymptotic to 2k ...
Maximal attractor for an Ostwald ripening model
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2009)
Singly Periodic Solutions of the Allen-Cahn Equation and the Toda Lattice
(Taylor & Francis, 2015)
The Allen-Cahn equation - Delta u = u - u (3) in DOUBLE-STRUCK CAPITAL R-2 has family of trivial singly periodic solutions that come from the one dimensional periodic solutions of the problem -u '' =u - u (3). In this paper ...
Ancient multiple-layer solutions to the Allen-Cahn equation
(Cambridge University Press, 2018)
We consider the parabolic one-dimensional Allen-Cahn equation ut = uxx + u(1-u2), (x, t) R x (-0]. The steady state w(x) = tanh(x/2) connects, as a 'transition layer', the stable phases-1 and +1. We construct a solution u ...
Mean curvature flow and low energy solutions of the parabolic Allen-Cahn equation on the Three-Sphere
(2023)
In this article, we study eternal solutions to the Allen-Cahn equation in the 3-sphere, in view of the connection between the gradient flow of the associated energy functional, and the mean curvature flow. We construct ...
Solução e estabilização exponencial para uma equação do tipo Allen-Cahn com coeficiente singularSolution and Exponential Stabilization for an Allen-Cahn-Type Equation With Singular Coeflicient
(Universidade Federal de ViçosaMatemática, 2023)
Catenoidal layers for the Allen-Cahn equation in bounded domains
(Springer, 2017)
This paper presents a new family of solutions to the singularly perturbed Allen-Cahn equation α2Δu + u(1 − u2) = 0 in a smooth bounded domain Ω ⊂ R3, with Neumann boundary condition and α > 0 a small parameter. These ...