The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors

Ling Hsiao; Peter A. Markowich; Shu Wang

doi:10.1016/S0022-0396(03)00063-9

The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors

Ling Hsiao, Peter A. Markowich, Shu Wang^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

82 Scopus citations

Abstract

In this paper we study the asymptotic behavior of globally smooth solutions of the Cauchy problem for the multidimensional isentropic hydrodynamic model for semiconductors in R^d. We prove that smooth solutions (close to equilibrium) of the problem converge to a stationary solution exponentially fast as t → + ∞.

Original language	English (US)
Pages (from-to)	111-133
Number of pages	23
Journal	Journal of Differential Equations
Volume	192
Issue number	1
DOIs	https://doi.org/10.1016/S0022-0396(03)00063-9
State	Published - Jul 20 2003
Externally published	Yes

Keywords

Asymptotic behavior
Globally smooth solution
Multidimensional hydrodynamic model
Semiconductors

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/S0022-0396(03)00063-9

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title = "The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors",

abstract = "In this paper we study the asymptotic behavior of globally smooth solutions of the Cauchy problem for the multidimensional isentropic hydrodynamic model for semiconductors in Rd. We prove that smooth solutions (close to equilibrium) of the problem converge to a stationary solution exponentially fast as t → + ∞.",

keywords = "Asymptotic behavior, Globally smooth solution, Multidimensional hydrodynamic model, Semiconductors",

author = "Ling Hsiao and Markowich, {Peter A.} and Shu Wang",

year = "2003",

month = jul,

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doi = "10.1016/S0022-0396(03)00063-9",

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T1 - The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors

AU - Hsiao, Ling

AU - Markowich, Peter A.

AU - Wang, Shu

PY - 2003/7/20

Y1 - 2003/7/20

N2 - In this paper we study the asymptotic behavior of globally smooth solutions of the Cauchy problem for the multidimensional isentropic hydrodynamic model for semiconductors in Rd. We prove that smooth solutions (close to equilibrium) of the problem converge to a stationary solution exponentially fast as t → + ∞.

AB - In this paper we study the asymptotic behavior of globally smooth solutions of the Cauchy problem for the multidimensional isentropic hydrodynamic model for semiconductors in Rd. We prove that smooth solutions (close to equilibrium) of the problem converge to a stationary solution exponentially fast as t → + ∞.

KW - Asymptotic behavior

KW - Globally smooth solution

KW - Multidimensional hydrodynamic model

KW - Semiconductors

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U2 - 10.1016/S0022-0396(03)00063-9

DO - 10.1016/S0022-0396(03)00063-9

M3 - Article

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SN - 0022-0396

VL - 192

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EP - 133

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 1

ER -

The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors

Abstract

Keywords

ASJC Scopus subject areas

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