AbstractWe study global existence, uniqueness, and asymptotic behavior, as time tends to infinity, of weak solutions to the system of nonlinear thermoviscoelasticity. Various boundary conditions are considered. It is shown that for any initial data (u0, v0, θ0)∈L∞×W1, ∞×H1there is a unique global solution (u, v, θ)=(deformation gradient, velocity, temperature) such thatu∈C([0, ∞], L∞),v∈C((0, ∞), W1, ∞)∩L∞([0, ∞), W1, ∞),θ∈C([0, ∞), H1). The constitutive assumptions for the Helmholtz free energy include the models for the study of phase transition problems in shape memory alloys
In this paper we consider equations of thermoelasticity in the linear and nonlinear cases with vario...
In this paper we study a simplified model of thermoviscoplasticity. We prove local in time existence...
We focus on a highly nonlinear evolutionary PDE system describ- ing volume processes coupled with su...
AbstractWe study global existence, uniqueness, and asymptotic behavior, as time tends to infinity, o...
AbstractA three-dimensional thermoviscoelastic system derived from the balance laws of momentum and ...
We consider the equations of one-dimensional nonlinear thermoviscoelasticity of integral type. We pr...
We consider the nonlinear system of partial differential equations describing the thermoviscoelasti...
This paper is devoted to the analysis of a one-dimensional model for phase transition phenomena in t...
AbstractWe shall prove the existence and the uniqueness of global classical solutions of the followi...
This book presents recent findings on the global existence, the uniqueness and the large-time behavi...
AbstractWe shall prove the existence and the uniqueness of global classical solutions of the followi...
The balance laws of mass, momentum and energy are considered for a broad class of one-dimensional no...
The balance laws of mass, momentum and energy are considered for a broad class of one-dimensional no...
In this note we report on different thermoelastic systems. They are models for the description of el...
This version is made available in accordance with publisher policies. Please cite only the published...
In this paper we consider equations of thermoelasticity in the linear and nonlinear cases with vario...
In this paper we study a simplified model of thermoviscoplasticity. We prove local in time existence...
We focus on a highly nonlinear evolutionary PDE system describ- ing volume processes coupled with su...
AbstractWe study global existence, uniqueness, and asymptotic behavior, as time tends to infinity, o...
AbstractA three-dimensional thermoviscoelastic system derived from the balance laws of momentum and ...
We consider the equations of one-dimensional nonlinear thermoviscoelasticity of integral type. We pr...
We consider the nonlinear system of partial differential equations describing the thermoviscoelasti...
This paper is devoted to the analysis of a one-dimensional model for phase transition phenomena in t...
AbstractWe shall prove the existence and the uniqueness of global classical solutions of the followi...
This book presents recent findings on the global existence, the uniqueness and the large-time behavi...
AbstractWe shall prove the existence and the uniqueness of global classical solutions of the followi...
The balance laws of mass, momentum and energy are considered for a broad class of one-dimensional no...
The balance laws of mass, momentum and energy are considered for a broad class of one-dimensional no...
In this note we report on different thermoelastic systems. They are models for the description of el...
This version is made available in accordance with publisher policies. Please cite only the published...
In this paper we consider equations of thermoelasticity in the linear and nonlinear cases with vario...
In this paper we study a simplified model of thermoviscoplasticity. We prove local in time existence...
We focus on a highly nonlinear evolutionary PDE system describ- ing volume processes coupled with su...