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Now showing items 1-10 of 11

#### Existence and regularity of weak solutions to a model for coarsening in molecular beam epitaxy

(2013-12-31)

Taking into account the occurrence of a zero of the surface diffusion current and the requirement of the Ehrlich-Schwoebel effect, Siegert et al. formulated a model of Langevin type that describes the growth of pyramid-like ...

#### The vanishing viscosity method for the sensitivity analysis of an optimal control problem of conservation laws in the presence of shocks

(2013-12-31)

In this article we study, by the vanishing viscosity method, the sensitivity analysis of an optimal control problem for 1-D scalar conservation laws in the presence of shocks. It is reduced to investigate the vanishing ...

#### Regularity of solutions to a model for solid-solid phase transitions driven by configurational forces

(2012-12-31)

In a previous work, we prove the existence of weak solutions to an initial-boundary value problem, with H 1(Ω) initial data, for a system of partial differential equations, which consists of the equations of linear elasticity ...

#### Solutions to a model with Neumann boundary conditions for phase transitions driven by configurational forces

(2011-12-31)

We study an initial boundary value problem of a model describing the evolution in time of diffusive phase interfaces in solid materials, in which martensitic phase transformations driven by configurational forces take ...

#### Spherically symmetric solutions to a model for phase transitions driven by configurational forces

(2011-12-31)

We prove the global-in-time existence of spherically symmetric solutions to an initial-boundary value problem for a system of partial differential equations, which consists of the equations of linear elasticity and a ...

#### Solvability via viscosity solutions for a model of phase transitions driven by configurational forces

(2011-12-31)

This article is concerned with an initial-boundary value problem for an elliptic-parabolic coupled system arising in martensitic phase transition theory of elastically deformable solid materials, e.g., steel. This model ...

#### Interface motion by interface diffusion driven by bulk energy: Justification of a diffusive interface model

(2011-12-31)

We construct an asymptotic solution of a system consisting of the partial differential equations of linear elasticity theory coupled with a degenerate parabolic equation, and show that when a regularity parameter tends to ...

#### Traveling waves to models of solid-solid phase transitions driven by configurational forces

(2011-12-31)

We study the existence of traveling/standing waves to models based on configurational forces. These models describe, respectively, structural phase transitions in solids, e.g., Shape memory alloys, and phase transitions ...

#### Stationary waves to viscous heat-conductive gases in half-space: Existence, stability and convergence rate

(2010-12-31)

The main concern of this paper is to study large-time behavior of solutions to an ideal polytropic model of compressible viscous gases in one-dimensional half-space. We consider an outflow problem and obtain a convergence ...

#### Asymptotic stability of the stationary solution to an initial boundary value problem for the Mullins equation of fourth order

(2009-12-31)

In the present article we first study the existence of the stationary solution to an initial boundary value problem for the Mullins equation of fourth order, which was proposed by Mullins ["Two-dimensional motion of idealized ...