Add to ORKGAbstract A nonlinear partial differential equation of the following form is considered: which arises from the heat conduction problems with strong temperature-dependent material parameters, such as mass density, specific heat and heat conductivity. Existence, uniqueness and asymptotic behavior of initial boundary value problems under appropriate assumptions on the material parameters are established. Both one-dimensional and two-dimensional cases are considered
We consider an inverse boundary value problem for the heat equation on the interval $(0,1)$, where t...
Variational formulation of a coupled thermomechanical problem of anisotropic solids for the case of ...
n this paper a phase-field model of Penrose-Fife type is considered for diffusive phase transitions ...
An analytical solution of the heat-conduction problem is obtained by the method of linearization of ...
Submitted by Elaine Almeida (elaine.almeida@nce.ufrj.br) on 2017-05-12T13:44:56Z No. of bitstreams:...
A nonlinear partial differential equation of the following form is considered: u'-\div\Big(a(u)\nabl...
Abstract. A nonlinear partial differential equation of the following form is con-sidered: u ′ − div...
Abstract. A nonlinear partial differential equation of the following form is con-sidered: u ′ − div...
A method for solution of systems of parabolic differential equations of heat conduction on the model...
In this paper we analyze a PDE system modeling (nonisothermal) phase transitions and damage phenomen...
With the use of the method of summator–integral equations, an axisymmetric problem has been investig...
Heat conduction close-to-Fourier means, that we look for a minimal extension of heat conduction theo...
Translated from Differentsial'nye Uravneniya. - 2002. - Vol. 38, № 7. - P. 989–991
AbstractWe study global existence, uniqueness, and asymptotic behavior, as time tends to infinity, o...
In this paper we prove existence of global in time weak solutions for a highly nonlinear PDE system ...
We consider an inverse boundary value problem for the heat equation on the interval $(0,1)$, where t...
Variational formulation of a coupled thermomechanical problem of anisotropic solids for the case of ...
n this paper a phase-field model of Penrose-Fife type is considered for diffusive phase transitions ...
An analytical solution of the heat-conduction problem is obtained by the method of linearization of ...
Submitted by Elaine Almeida (elaine.almeida@nce.ufrj.br) on 2017-05-12T13:44:56Z No. of bitstreams:...
A nonlinear partial differential equation of the following form is considered: u'-\div\Big(a(u)\nabl...
Abstract. A nonlinear partial differential equation of the following form is con-sidered: u ′ − div...
Abstract. A nonlinear partial differential equation of the following form is con-sidered: u ′ − div...
A method for solution of systems of parabolic differential equations of heat conduction on the model...
In this paper we analyze a PDE system modeling (nonisothermal) phase transitions and damage phenomen...
With the use of the method of summator–integral equations, an axisymmetric problem has been investig...
Heat conduction close-to-Fourier means, that we look for a minimal extension of heat conduction theo...
Translated from Differentsial'nye Uravneniya. - 2002. - Vol. 38, № 7. - P. 989–991
AbstractWe study global existence, uniqueness, and asymptotic behavior, as time tends to infinity, o...
In this paper we prove existence of global in time weak solutions for a highly nonlinear PDE system ...
We consider an inverse boundary value problem for the heat equation on the interval $(0,1)$, where t...
Variational formulation of a coupled thermomechanical problem of anisotropic solids for the case of ...
n this paper a phase-field model of Penrose-Fife type is considered for diffusive phase transitions ...