具浓度相关黏性系数的黏性Cahn-Hilliard方程解的爆破性

Abstract

Abstract:

We studied the blowup of the solutions to the viscous CahnHilliard equation with concentration dependent viscosity. The results show that the structural conditons satisfied by the coefficient of viscosity play an important role in the properties of the solutions. Under two different structural conditions of the coefficient of viscosity, using the energy method, we proved that the solutions of the initial boundary value problem blow up in finite time or tend to infinity as t→+∞.

Key words: blowup, viscous CahnHilliard equation, concentration dependent viscosity

CLC Number:

O175.4

HUANG Dui, WANG Ze-Jia. BlowUp of Solutions to the Viscous CahnHilliard Equation with Concentration Dependent Viscosity[J].J4, 2011, 49(03): 471-474.

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BlowUp of Solutions to the Viscous CahnHilliard Equation with Concentration Dependent Viscosity

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