THE GREEN’S FUNCTIONS FOR THE BROADWELL MODEL IN A HALF SPACE PROBLEM

Chiu Ya Lan; Huey Er Lin; Shih Hsien Yu

doi:10.3934/nhm.2006.1.167

THE GREEN’S FUNCTIONS FOR THE BROADWELL MODEL IN A HALF SPACE PROBLEM

Chiu Ya Lan
, Huey Er Lin
, Shih Hsien Yu

Department of Mathematics

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

10 Citations (Scopus)

Abstract

We study an initial boundary value problem for the Broadwell model with a supersonic physical boundary. The Green’s function for an initial value problem is constructed and its detailed pointwise structure is obtained through the novel decompositions introduced in [8]. With the Green’s function for initial value problem and energy estimates together, a new approach to convert a priori L²-boundary data into L^∞ boundary data is established for the Broadwell model. The Green’s function for an initial boundary value problem is obtained. Finally, a nonlinearly time-asymptotic stability of an equilibrium state is proved.

Original language	English
Pages (from-to)	167-183
Number of pages	17
Journal	Networks and Heterogeneous Media
Volume	1
Issue number	1
DOIs	https://doi.org/10.3934/nhm.2006.1.167
Publication status	Published - 2006

Keywords

Broadwell Model
Initial-Boundary Value Problem

ASJC Scopus subject areas

Statistics and Probability
General Engineering
Computer Science Applications
Applied Mathematics

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10.3934/nhm.2006.1.167

Cite this

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title = "THE GREEN{\textquoteright}S FUNCTIONS FOR THE BROADWELL MODEL IN A HALF SPACE PROBLEM",

abstract = "We study an initial boundary value problem for the Broadwell model with a supersonic physical boundary. The Green{\textquoteright}s function for an initial value problem is constructed and its detailed pointwise structure is obtained through the novel decompositions introduced in [8]. With the Green{\textquoteright}s function for initial value problem and energy estimates together, a new approach to convert a priori L2-boundary data into L∞ boundary data is established for the Broadwell model. The Green{\textquoteright}s function for an initial boundary value problem is obtained. Finally, a nonlinearly time-asymptotic stability of an equilibrium state is proved.",

keywords = "Broadwell Model, Initial-Boundary Value Problem",

author = "Lan, \{Chiu Ya\} and Lin, \{Huey Er\} and Yu, \{Shih Hsien\}",

note = "Publisher Copyright: {\textcopyright} American Institute of Mathematical Sciences.",

year = "2006",

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language = "English",

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T1 - THE GREEN’S FUNCTIONS FOR THE BROADWELL MODEL IN A HALF SPACE PROBLEM

AU - Lan, Chiu Ya

AU - Lin, Huey Er

AU - Yu, Shih Hsien

N1 - Publisher Copyright: © American Institute of Mathematical Sciences.

PY - 2006

Y1 - 2006

N2 - We study an initial boundary value problem for the Broadwell model with a supersonic physical boundary. The Green’s function for an initial value problem is constructed and its detailed pointwise structure is obtained through the novel decompositions introduced in [8]. With the Green’s function for initial value problem and energy estimates together, a new approach to convert a priori L2-boundary data into L∞ boundary data is established for the Broadwell model. The Green’s function for an initial boundary value problem is obtained. Finally, a nonlinearly time-asymptotic stability of an equilibrium state is proved.

AB - We study an initial boundary value problem for the Broadwell model with a supersonic physical boundary. The Green’s function for an initial value problem is constructed and its detailed pointwise structure is obtained through the novel decompositions introduced in [8]. With the Green’s function for initial value problem and energy estimates together, a new approach to convert a priori L2-boundary data into L∞ boundary data is established for the Broadwell model. The Green’s function for an initial boundary value problem is obtained. Finally, a nonlinearly time-asymptotic stability of an equilibrium state is proved.

KW - Broadwell Model

KW - Initial-Boundary Value Problem

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SN - 1556-1801

VL - 1

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EP - 183

JO - Networks and Heterogeneous Media

JF - Networks and Heterogeneous Media

IS - 1

ER -

THE GREEN’S FUNCTIONS FOR THE BROADWELL MODEL IN A HALF SPACE PROBLEM

Abstract

Keywords

ASJC Scopus subject areas

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