Dynamics of a Complex-Valued Heat Equation

XIONG Hui; YANG Guang

doi:10.3879/j.issn.1000-0887.2014.09.011

Volume 35 Issue 9

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XIONG Hui, YANG Guang. Dynamics of a Complex-Valued Heat Equation[J]. Applied Mathematics and Mechanics, 2014, 35(9): 1055-1062. doi: 10.3879/j.issn.1000-0887.2014.09.011

Citation:

XIONG Hui, YANG Guang. Dynamics of a Complex-Valued Heat Equation[J]. Applied Mathematics and Mechanics, 2014, 35(9): 1055-1062. doi: 10.3879/j.issn.1000-0887.2014.09.011

Citation:

XIONG Hui, YANG Guang. Dynamics of a Complex-Valued Heat Equation[J]. Applied Mathematics and Mechanics, 2014, 35(9): 1055-1062. doi: 10.3879/j.issn.1000-0887.2014.09.011

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Dynamics of a Complex-Valued Heat Equation

doi: 10.3879/j.issn.1000-0887.2014.09.011

Department of Mathematics, Dongguan University of Technology,

Funds: The National Natural Science Foundation of China(11271069)

Received Date: 2013-12-25
Rev Recd Date: 2014-01-13
Publish Date: 2014-09-15

Abstract

Abstract

The Cauchy problem for a parabolic system which was derived from a complexvalued heat equation with inverse nonlinearity was studied. Some criteria for the global existence and quenching of the solutions were provided. Through transformation of the invariant subset of the solution plane, it was proved that, for the initial values which are asymptotically constants, whether the solution quenches at spatial infinity or exists globally at any time, depends on the asymptotic limits of the initial values.
- complex-valued heat equation,
- global solution,
- quenching point

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References(14)

References

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