Asymptotic Behavior of Solutions of Model Problems for a Coupled System

S. Shao

doi:10.1006/jmaa.1994.1010

Asymptotic Behavior of Solutions of Model Problems for a Coupled System

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

Abstract

We study the asymptotic behavior of solutions of model problems for a coupled system. By consistent use of a priori estimates and asymptotic analysis, we present here an more efficient approach which provides precise descriptions of the asymptotic behabior of solutions of this system. Our results amplify and extend earlier results of Dorr, Patter, and Shampine and their treatment of this system. Meanwhile, the stability of the steady-state solutions of the corresponding time-dependent system is discussed.

Original language	American English
Journal	Journal of Mathematical Analysis and Applications
Volume	181
DOIs	https://doi.org/10.1006/jmaa.1994.1010
State	Published - Jan 1 1994

Disciplines

Mathematics

Access to Document

10.1006/jmaa.1994.1010License: CC BY

Asymptotic Behavior of Solutions of Model Problems for a CoupledFinal published version, 1.06 MBLicense: CC BY

Cite this

@article{ecadb4edcefe4730ba0557240a3c07cf,

title = "Asymptotic Behavior of Solutions of Model Problems for a Coupled System",

abstract = " We study the asymptotic behavior of solutions of model problems for a coupled system. By consistent use of a priori estimates and asymptotic analysis, we present here an more efficient approach which provides precise descriptions of the asymptotic behabior of solutions of this system. Our results amplify and extend earlier results of Dorr, Patter, and Shampine and their treatment of this system. Meanwhile, the stability of the steady-state solutions of the corresponding time-dependent system is discussed.",

author = "S. Shao",

year = "1994",

month = jan,

day = "1",

doi = "10.1006/jmaa.1994.1010",

language = "American English",

volume = "181",

journal = "Journal of Mathematical Analysis and Applications",

}

TY - JOUR

T1 - Asymptotic Behavior of Solutions of Model Problems for a Coupled System

AU - Shao, S.

PY - 1994/1/1

Y1 - 1994/1/1

N2 - We study the asymptotic behavior of solutions of model problems for a coupled system. By consistent use of a priori estimates and asymptotic analysis, we present here an more efficient approach which provides precise descriptions of the asymptotic behabior of solutions of this system. Our results amplify and extend earlier results of Dorr, Patter, and Shampine and their treatment of this system. Meanwhile, the stability of the steady-state solutions of the corresponding time-dependent system is discussed.

AB - We study the asymptotic behavior of solutions of model problems for a coupled system. By consistent use of a priori estimates and asymptotic analysis, we present here an more efficient approach which provides precise descriptions of the asymptotic behabior of solutions of this system. Our results amplify and extend earlier results of Dorr, Patter, and Shampine and their treatment of this system. Meanwhile, the stability of the steady-state solutions of the corresponding time-dependent system is discussed.

UR - https://engagedscholarship.csuohio.edu/scimath_facpub/330

U2 - 10.1006/jmaa.1994.1010

DO - 10.1006/jmaa.1994.1010

M3 - Article

VL - 181

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

ER -

Asymptotic Behavior of Solutions of Model Problems for a Coupled System

Abstract

Disciplines

Access to Document

Other files and links

Cite this