Browsing Former Research Lines by Author "Zhu, P."
Now showing items 111 of 11

Asymptotic stability of rarefaction wave for the navierstokes equations for a compressible fluid in the half space
Kawashima, S.; Zhu, P. (20091231)This paper is concerned with the asymptotic stability towards a rarefaction wave of the solution to an outflow problem for the NavierStokes equations in a compressible fluid in the Eulerian coordinate in the half space. ... 
Asymptotic stability of the stationary solution to an initial boundary value problem for the Mullins equation of fourth order
Zhu, P. (20091231)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 ["Twodimensional motion of idealized ... 
Existence and regularity of weak solutions to a model for coarsening in molecular beam epitaxy
Zhang, J.; Zhu, P. (20131231)Taking into account the occurrence of a zero of the surface diffusion current and the requirement of the EhrlichSchwoebel effect, Siegert et al. formulated a model of Langevin type that describes the growth of pyramidlike ... 
Interface motion by interface diffusion driven by bulk energy: Justification of a diffusive interface model
Alber, H.D.; Zhu, P. (20111231)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 ... 
Regularity of solutions to a model for solidsolid phase transitions driven by configurational forces
Zhu, P. (20121231)In a previous work, we prove the existence of weak solutions to an initialboundary 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
Alber, H.D.; Zhu, P. (20111231)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 ... 
Solvability via viscosity solutions for a model of phase transitions driven by configurational forces
Zhu, P. (20111231)This article is concerned with an initialboundary value problem for an ellipticparabolic coupled system arising in martensitic phase transition theory of elastically deformable solid materials, e.g., steel. This model ... 
Spherically symmetric solutions to a model for phase transitions driven by configurational forces
Ou, Y.; Zhu, P. (20111231)We prove the globalintime existence of spherically symmetric solutions to an initialboundary value problem for a system of partial differential equations, which consists of the equations of linear elasticity and a ... 
Stationary waves to viscous heatconductive gases in halfspace: Existence, stability and convergence rate
Kawashima, S.; Nakamura, T.; Nishibata, S.; Zhu, P. (20101231)The main concern of this paper is to study largetime behavior of solutions to an ideal polytropic model of compressible viscous gases in onedimensional halfspace. We consider an outflow problem and obtain a convergence ... 
The vanishing viscosity method for the sensitivity analysis of an optimal control problem of conservation laws in the presence of shocks
Ou, Y.; Zhu, P. (20131231)In this article we study, by the vanishing viscosity method, the sensitivity analysis of an optimal control problem for 1D scalar conservation laws in the presence of shocks. It is reduced to investigate the vanishing ... 
Traveling waves to models of solidsolid phase transitions driven by configurational forces
Zhu, P. (20111231)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 ...