Add to ORKGAbstract. A nonlinear partial differential equation of the following form is con-sidered: u ′ − div a(u)∇u + b(u) |∇u|2 = 0, 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. 1
We consider the development heat equation with initial boundary conditions. The uniqueness of the so...
22 pages, 16 ref.International audienceWe consider the problem of existence of a solution u to ∂ t u...
AbstractWe study the nonlinear parabolic equation Δu−uφ(.,u)−∂u∂t=0, in Rn×(0,∞) with boundary condi...
Abstract. A nonlinear partial differential equation of the following form is con-sidered: u ′ − div...
A nonlinear partial differential equation of the following form is considered: u'-\div\Big(a(u)\nabl...
Submitted by Elaine Almeida (elaine.almeida@nce.ufrj.br) on 2017-05-12T13:44:56Z No. of bitstreams:...
AbstractThe paper investigates global existence and asymptotic behaviour of classical solutions to a...
Some exact solutions to a nonlinear heat equation are constructed. An initial-boundary value problem...
AbstractWe prove existence, uniqueness and regularity of solutions for heat equations with nonlinear...
AbstractWe consider the initial–boundary value problem for the heat equation with a nonlinear bounda...
In this work, we establish some theorems of existence, uniqueness, and asymptotic stability in the t...
AbstractIn this work, we establish some theorems of existence, uniqueness, and asymptotic stability ...
We prove existence, uniqueness and regularity of solutions for heat equations with nonlinear boundar...
AbstractThis paper deals with some theoretical results concerning a heat equation with certain nonli...
Abstract Nonlinear problems for the one-dimensional heat equation in a bounded and homogeneous mediu...
We consider the development heat equation with initial boundary conditions. The uniqueness of the so...
22 pages, 16 ref.International audienceWe consider the problem of existence of a solution u to ∂ t u...
AbstractWe study the nonlinear parabolic equation Δu−uφ(.,u)−∂u∂t=0, in Rn×(0,∞) with boundary condi...
Abstract. A nonlinear partial differential equation of the following form is con-sidered: u ′ − div...
A nonlinear partial differential equation of the following form is considered: u'-\div\Big(a(u)\nabl...
Submitted by Elaine Almeida (elaine.almeida@nce.ufrj.br) on 2017-05-12T13:44:56Z No. of bitstreams:...
AbstractThe paper investigates global existence and asymptotic behaviour of classical solutions to a...
Some exact solutions to a nonlinear heat equation are constructed. An initial-boundary value problem...
AbstractWe prove existence, uniqueness and regularity of solutions for heat equations with nonlinear...
AbstractWe consider the initial–boundary value problem for the heat equation with a nonlinear bounda...
In this work, we establish some theorems of existence, uniqueness, and asymptotic stability in the t...
AbstractIn this work, we establish some theorems of existence, uniqueness, and asymptotic stability ...
We prove existence, uniqueness and regularity of solutions for heat equations with nonlinear boundar...
AbstractThis paper deals with some theoretical results concerning a heat equation with certain nonli...
Abstract Nonlinear problems for the one-dimensional heat equation in a bounded and homogeneous mediu...
We consider the development heat equation with initial boundary conditions. The uniqueness of the so...
22 pages, 16 ref.International audienceWe consider the problem of existence of a solution u to ∂ t u...
AbstractWe study the nonlinear parabolic equation Δu−uφ(.,u)−∂u∂t=0, in Rn×(0,∞) with boundary condi...