NDLI: Global smooth solutions for a one-dimensional nonisentropic hydrodynamic model with non-constant lattice temperature

Content Provider	Springer Nature Link
Author	Li, Yeping
Copyright Year	2007
Abstract	In this paper, a one-dimensional nonisentropic hydrodynamic model for semiconductors with non-constant lattice temperature is studied. The model is self-consistent in the sense that the electric field, which forms a forcing term in the momentum equation, is determined by the coupled Poisson equation. The existence and uniqueness of the corresponding stationary solutions are investigated carefully under proper conditions. Then, global existence of the smooth solutions for the Cauchy problem with initial data, which are perturbations of stationary solutions, is established. It is shown that these smooth solutions tend to the stationary solutions exponentially fast as t → ∞.
Ending Page	211
Page Count	25
Starting Page	187
File Format	PDF
ISSN	00442275
e-ISSN	14209039
Journal	Zeitschrift für angewandte Mathematik und Physik
Issue Number	2
Volume Number	59
Language	English
Publisher	SP Birkhäuser Verlag Basel
Publisher Date	2007-05-18
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Conservation laws Equations of mixed type Mathematical Methods in Physics hydrodynamic model Soliton theory, asymptotic behavior of solutions Ionized gas flow in electromagnetic fields; plasmic flow Theoretical and Applied Mechanics Global smooth solutions nonisentropic
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Physics and Astronomy

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Global smooth solutions for a one-dimensional nonisentropic hydrodynamic model with non-constant lattice temperature