Global Existence of Solutions of the Periodic Initial Value Problems for Two-Dimensional Newton-Boussinesq Equations

FANG Shao-mei; JIN Ling-yu; GUO Bo-ling

doi:10.3879/j.issn.1000-0887.2010.04.001

Volume 31 Issue 4

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FANG Shao-mei, JIN Ling-yu, GUO Bo-ling. Global Existence of Solutions of the Periodic Initial Value Problems for Two-Dimensional Newton-Boussinesq Equations[J]. Applied Mathematics and Mechanics, 2010, 31(4): 379-388. doi: 10.3879/j.issn.1000-0887.2010.04.001

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Global Existence of Solutions of the Periodic Initial Value Problems for Two-Dimensional Newton-Boussinesq Equations

doi: 10.3879/j.issn.1000-0887.2010.04.001

1.
Department of Mathematics, South China Agricultural University, Guangzhou 510642, P. R. China;

Received Date: 1900-01-01
Rev Recd Date: 2010-02-19
Publish Date: 2010-04-15

Abstract

Abstract

A class of periodic initial value problems for two-dmiensional Newton-Bouss inesqequations was investigated.First the Newton-Boussinesq equations were turned into the equivalent integral equations,then by the iteration methods the local existence of the solutions was obtained.Finally using the method of a priori estimates,the global existence of the solutions was proved.
- nonlinear two-dimensional Newton-Boussinesq equations,
- classical solution,
- a priori estmiates

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References

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