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Abstract: We study a diffusion model of phase field type, which consists of a system of two partial differential equations involving as variables the thermal displacement, that is basically the time i...
Abstract: We deal with a system of two coupled differential equations, describing the evolution of a first order phase transition. In particular, we have two non-linear parabolic equations: the first ...
Abstract: A corrector theory for the strong approximation of fields inside composites made from two materials with different power law behavior is provided. The correctors are used to develop bounds o...
Abstract: Uniqueness results are established for time-independent finite-energy electromagnetic fields which solve the nonlinear Maxwell--Born--Infeld equations in boundary-free space under the condit...
In this paper we found an Exact solution for massless scalar field with cosmological constant.This exact solution generalized the Levi-Civita vacuum solution[8] to a massless scalar field,with a cosmo...
This paper is devoted to the study of the vortex dynamics of the Cauchy problem for a parabolic Ginzburg--Landau system which simulates inhomogeneous type II superconducting materials and three-dimens...

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