Conditions on the motion of a heat source that guarantee a blow-up solution of the two-dimensional heat equation

C. M. Kirk; W. E. Olmstead

Conditions on the motion of a heat source that guarantee a blow-up solution of the two-dimensional heat equation

C. M. Kirk, W. E. Olmstead

Engineering Sciences and Applied Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Scopus citations

Abstract

In this paper we examine the heat equation in two dimensions with a nonlinear source term that is spatially localized and allowed to move. We obtain conditions on the motion of the heat source which guarantee that a blow-up occurs. Specifically, the case of periodic motion is examined.

Original language	English (US)
Title of host publication	Proceedings of Dynamic Systems and Applications - 4th International Conference on Dynamic Systems and Applications
Editors	G.S. Ladde, N.G. Medhin, M. Sambandham
Pages	146-152
Number of pages	7
State	Published - Dec 1 2003
Event	Proceedings of the 4th International Conference on Dynamic Systems and Applications - Atlanta, GA, United States Duration: May 21 2003 → May 24 2003

Other

Other	Proceedings of the 4th International Conference on Dynamic Systems and Applications
Country/Territory	United States
City	Atlanta, GA
Period	5/21/03 → 5/24/03

ASJC Scopus subject areas

Engineering(all)

Cite this

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title = "Conditions on the motion of a heat source that guarantee a blow-up solution of the two-dimensional heat equation",

abstract = "In this paper we examine the heat equation in two dimensions with a nonlinear source term that is spatially localized and allowed to move. We obtain conditions on the motion of the heat source which guarantee that a blow-up occurs. Specifically, the case of periodic motion is examined.",

author = "Kirk, {C. M.} and Olmstead, {W. E.}",

year = "2003",

month = dec,

day = "1",

language = "English (US)",

isbn = "1890888001",

pages = "146--152",

editor = "G.S. Ladde and N.G. Medhin and M. Sambandham",

booktitle = "Proceedings of Dynamic Systems and Applications - 4th International Conference on Dynamic Systems and Applications",

note = "Proceedings of the 4th International Conference on Dynamic Systems and Applications ; Conference date: 21-05-2003 Through 24-05-2003",

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Kirk, CM & Olmstead, WE 2003, Conditions on the motion of a heat source that guarantee a blow-up solution of the two-dimensional heat equation. in GS Ladde, NG Medhin & M Sambandham (eds), Proceedings of Dynamic Systems and Applications - 4th International Conference on Dynamic Systems and Applications. pp. 146-152, Proceedings of the 4th International Conference on Dynamic Systems and Applications, Atlanta, GA, United States, 5/21/03.

Conditions on the motion of a heat source that guarantee a blow-up solution of the two-dimensional heat equation. / Kirk, C. M.; Olmstead, W. E.

Proceedings of Dynamic Systems and Applications - 4th International Conference on Dynamic Systems and Applications. ed. / G.S. Ladde; N.G. Medhin; M. Sambandham. 2003. p. 146-152.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Conditions on the motion of a heat source that guarantee a blow-up solution of the two-dimensional heat equation

AU - Kirk, C. M.

AU - Olmstead, W. E.

PY - 2003/12/1

Y1 - 2003/12/1

N2 - In this paper we examine the heat equation in two dimensions with a nonlinear source term that is spatially localized and allowed to move. We obtain conditions on the motion of the heat source which guarantee that a blow-up occurs. Specifically, the case of periodic motion is examined.

AB - In this paper we examine the heat equation in two dimensions with a nonlinear source term that is spatially localized and allowed to move. We obtain conditions on the motion of the heat source which guarantee that a blow-up occurs. Specifically, the case of periodic motion is examined.

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M3 - Conference contribution

AN - SCOPUS:29244455019

SN - 1890888001

SP - 146

EP - 152

BT - Proceedings of Dynamic Systems and Applications - 4th International Conference on Dynamic Systems and Applications

A2 - Ladde, G.S.

A2 - Medhin, N.G.

A2 - Sambandham, M.

T2 - Proceedings of the 4th International Conference on Dynamic Systems and Applications

Y2 - 21 May 2003 through 24 May 2003

ER -

Conditions on the motion of a heat source that guarantee a blow-up solution of the two-dimensional heat equation

Abstract

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ASJC Scopus subject areas

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