✦ LIBER ✦

Well-posedness of the Hydrodynamic Model for Semiconductors

✍ Scribed by Li-Ming Yeh

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 824 KB
Volume: 19
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(199612)19:18<1489::aid-mma848>3.0.co;2-x

No coin nor oath required. For personal study only.

✦ Synopsis

Communicated by B. Brosowski

This paper concerns the well-posedness of the hydrodynamic model for semiconductor devices, a quasilinear elliptic-parbolic-hyperbolic system. Boundary conditions for elliptic and parabolic equations are Dirichlet conditions while boundary conditions for the hyperbolic equations are assumed to be well-posed in L 2 sense. Maximally strictly dissipative boundary conditions for the hyperbolic equations satisfy the assumption of well-posedness in L2 sense. The well-posedness of the model under the boundary conditions is demonstrated.

AY = -(n -Z ( x ) ) ,

📜 SIMILAR VOLUMES

Well-posedness for the incompressible ma

Well-posedness for the incompressible magneto-hydrodynamic system

✍ Changxing Miao; Baoquan Yuan; Bo Zhang 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 158 KB

## Abstract This paper is concerned with well‐posedness of the incompressible magneto‐hydrodynamics (MHD) system. In particular, we prove the existence of a global mild solution in BMO^−1^ for small data which is also unique in the space __C__([0, ∞); BMO^−1^). We also establish the existence of a

Well-posedness Results for Models of Ela

Well-posedness Results for Models of Elastomers

✍ Azmy S. Ackleh; H.T. Banks; Gabriella A. Pinter 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 132 KB

Existence and uniqueness of weak solutions are shown for different models of the dynamic behavior of elastomers. The models are based on a nonlinear stressstrain relationship (satisfying a locally Lipschitz and affine domination property) and incorporate hysteretic effects as well. The results provi

Subsonic solutions of hydrodynamic model

Subsonic solutions of hydrodynamic model for semiconductors

✍ Li-Ming Yeh 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 196 KB 👁 2 views

Communicated by B

Solutions for a Hydrodynamic Model of Se

Solutions for a Hydrodynamic Model of Semiconductors

✍ Dening Li; Sixin Qian 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 121 KB

Well-posedness for the FENE dumbbell mod

Well-posedness for the FENE dumbbell model of polymeric flows

✍ Nader Masmoudi 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 242 KB 👁 2 views

## Abstract We prove local and global well‐posedness for the FENE dumbbell model for a very general class of potentials. Indeed, in prior local or global well‐posedness results, conditions on the strength of the singularity (or on the parameter __b__) were made. Here we give a proof in the general

Well-posedness of two-shape memory model

✍ N. Chemetov 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 203 KB

## Abstract The aim of this paper is to study shape memory alloys which admit two shape memory effect. This effect results from progressive modification of the admissible mixture of martensites and austenite. The predictive theory of this education phenomenon has been developed by Frémond. We discu