Compensated Compactness Applied to Perturbed Fourth and Sixth Order P.D.E.

Yin Zhaoyang

Volume 18 Issue 9

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Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(9): 853-858

Yin Zhaoyang. Compensated Compactness Applied to Perturbed Fourth and Sixth Order P.D.E.[J]. Applied Mathematics and Mechanics, 1997, 18(9): 853-858.

Citation:

Yin Zhaoyang. Compensated Compactness Applied to Perturbed Fourth and Sixth Order P.D.E.[J]. Applied Mathematics and Mechanics, 1997, 18(9): 853-858.

Citation:

Yin Zhaoyang. Compensated Compactness Applied to Perturbed Fourth and Sixth Order P.D.E.[J]. Applied Mathematics and Mechanics, 1997, 18(9): 853-858.

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Compensated Compactness Applied to Perturbed Fourth and Sixth Order P.D.E.

Yin Zhaoyang

Department of Physics, Zhongshan Unfversity, Guangzhou 510275, P. R. China

Received Date: 1995-04-07
Rev Recd Date: 1996-11-07
Publish Date: 1997-09-15

Abstract

Abstract

In the paper, by using the methods of compensated compactness and energyestimate, the convergence of class of fourth and sixth orders singular perturbed. partialdifferential equations is obtained, and furthermore, the regularity of solutions is improved.
- compensated compactness,
- energy estimate,
- singular perturbation,
- convergence of solution,
- regularity of solution

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References(3)

References

[1]	B.Cassis.Compensated compactness applied to a singular perturbed fourth order P.D.E,.Comm.Partial Differential Equations.14.5(1989).619～634.
[2]	M.E.Schonbek.Convergence of solutions to nonlinear dispersive equations.Comm.Paltial Differential Equations.7.8(1982).959～1000.
[3]	L.TarTar.Compensated compactness method applied to system of conservation law,Systems of Nonlinear Partial Differemial Equations(J.M.Balled),NATO ASIS Series.C.Reidel(1983).

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