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【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
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
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【期刊论文】Global weak solutions for a new periodic integrable equation with peakon solutions
殷朝阳, Zhaoyang Yin
Journal of Functional Analysis 212 (2004) 182-194,-0001,():
-1年11月30日
We prove the existence of global weak solutions for a new periodic integrable equation with peakon solutions.
Global weak solution, A new periodic integrable equation, Peakon solutions
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【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
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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【期刊论文】ON THE STRUCTURE OF SOLUTIONS TO THE PERIODIC HUNTER-SAXTON EQUATION*
殷朝阳, ZHAOYANG YIN†
SIAM J. MATH. ANAL. Vol.36, No.1, pp.272-283,-0001,():
-1年11月30日
We prove the local existence of strong solutions of the periodic Hunter-Saxton equation, and we show that all strong solutions except space-independent solutions blow up in finite time.
local existence of strong solutions,, Hunter-Saxton equation,, blow-up of strong solutions
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【期刊论文】Global solutions for quasilinear parabolic systems
殷朝阳, Adrian Constantin, a, Joachim Escher, b and Zhaoyang Yin c
J. Differential Equations 197 (2004) 73-84,-0001,():
-1年11月30日
We present an approach for proving the global existence of classical solutions of certain quasilinear parabolic systems with homogeneous Dirichlet boundary conditions in bounded domains with a smooth boundary.
Global solutions, Quasilinear parabolic systems, Dirichlet condition
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