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

Access to Document

10.3934/nhm.2006.1.167

Cite this

@article{72f850fe7b7b40f3b81fa2dded8904f6,

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",

doi = "10.3934/nhm.2006.1.167",

language = "English",

volume = "1",

pages = "167--183",

journal = "Networks and Heterogeneous Media",

issn = "1556-1801",

publisher = "American Institute of Mathematical Sciences",

number = "1",

}

TY - JOUR

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

UR - http://www.scopus.com/inward/record.url?scp=53949118976&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=53949118976&partnerID=8YFLogxK

U2 - 10.3934/nhm.2006.1.167

DO - 10.3934/nhm.2006.1.167

M3 - Article

AN - SCOPUS:53949118976

SN - 1556-1801

VL - 1

SP - 167

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

Access to Document

Other files and links

Fingerprint

Cite this