Uniform Blow-Up Rate for a Compressible Reactive Gas Model

XU Run-zhang; JIANG Xiao-li; LIU Jie

doi:10.3879/j.issn.1000-0887.2012.01.010

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XU Run-zhang, JIANG Xiao-li, LIU Jie. Uniform Blow-Up Rate for a Compressible Reactive Gas Model[J]. Applied Mathematics and Mechanics, 2012, 33(1): 125-134. doi: 10.3879/j.issn.1000-0887.2012.01.010

Citation:

XU Run-zhang, JIANG Xiao-li, LIU Jie. Uniform Blow-Up Rate for a Compressible Reactive Gas Model[J]. Applied Mathematics and Mechanics, 2012, 33(1): 125-134. doi: 10.3879/j.issn.1000-0887.2012.01.010

Citation:

XU Run-zhang, JIANG Xiao-li, LIU Jie. Uniform Blow-Up Rate for a Compressible Reactive Gas Model[J]. Applied Mathematics and Mechanics, 2012, 33(1): 125-134. doi: 10.3879/j.issn.1000-0887.2012.01.010

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Uniform Blow-Up Rate for a Compressible Reactive Gas Model

doi: 10.3879/j.issn.1000-0887.2012.01.010

College of Science, Harbin Engineering University, Harbin 150001, P.R.China

Received Date: 2011-05-30
Rev Recd Date: 2011-11-03
Publish Date: 2012-01-15

Abstract

Abstract

The Dirichlet initial-boundary value problem of a compressible reactive gas model equation with nonlocal nonlinear source term was studied. For certain conditions, it is proved that the blow-up rate is uniform in all compact subsets of the domain and the blow-up rate is irrelative to the exponent of the diffusion term, but relative to the exponent of the nonlocal nonlinear source.
- nonlinear parabolic equation,
- initial boundary value,
- nonlocal reaction,
- finite time blow-up,
- uniform blow-up rate

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References(22)

References

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