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2010年09月30日

【期刊论文】Global weak solutions and blow-up structure for the Degasperis-Procesi equation

殷朝阳， Joachim Escher a， Yue Liu b， Zhaoyang Yin a， c， *

Journal of Functional Analysis 241 (2006) 457-485，-0001，（）：

-1年11月30日

In this paper we study several qualitative properties of the Degasperis-Procesi equation. We first established the precise blow-up rate and then determine the blow-up set of blow-up strong solutions to this equation for a large class of initial data. We finally prove the existence and uniqueness of global weak solutions to the equation provided the initial data satisfies appropriate conditions.

Degasperis-Procesi equation， Global weak solutions， Blow-up rate， Blow-up set

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2010年09月30日

【期刊论文】WELL-POSEDNESS AND BLOW-UP PHENOMENA FOR THE 2-COMPONENT CAMASSA-HOLM EQUATION

殷朝阳， Joachim Escher， Olaf Lechtenfeld， Zhaoyang Yin

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS Volume 19, Number 3, November 2007，-0001，（）：

-1年11月30日

摘要

After some remarks on a possible zero-curvature formulation we first establish local well-posedness for the 2-component Camassa-Holm equation. Then precise blow-up scenarios for strong solutions to the system are derived. Finally we present two blow-up results for strong solutions to the system.

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2010年09月30日

【期刊论文】Global Solutions to a New Integrable Equation with Peakons

殷朝阳， ZHAOYANG YIN

Indiana University Mathematics Journal©, Vol.53, No.4 (2004)，-0001，（）：

-1年11月30日

摘要

We prove the existence and uniqueness of global strong solutions and global weak solutions for a new integrable equation with peakons.

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2010年09月30日

【期刊论文】On the stability ofequilibria to weakly coupled parabolic systems in unbounded domains

殷朝阳， Joachim Escher a， *， ZhaoyangYin b

Nonlinear Analysis 60 (2005) 1065-1084，-0001，（）：

-1年11月30日

摘要

We investigate weakly coupled semilinear parabolic systems in unbounded domains of R2 or R3 with general nonlinearities.We present several sufficient conditions on the nonlinearities which ensure the stability ofthe zero solution with respect to H2-perturbations. In addition, various examples are discussed to illustrate the scope ofapplication ofour results.

Stable equilibria， Parabolic systems， Unbounded domains