Prof. Dr. Zhaoyang Yin

Profile

Academic positionFull Professor
Research fieldsAnalysis, Differential Equations,General and overarching topics in Mathematics; collections
KeywordsNonlinear dispersive PDEs, Local well-posedness, Blow-up and global existence of strong solutions, Existence and uniqueness of global weak solutions, Orbital stability of peaked solitons

Current contact address

CountryPeople's Republic of China
CityGuangzhou
InstitutionSun Yat-Sen University
InstituteDepartment of Mathematics

Host during sponsorship

Prof. Dr. Joachim EscherInstitut für Angewandte Mathematik, Gottfried Wilhelm Leibniz Universität Hannover, Hannover
Start of initial sponsorship01/10/2005

Programme(s)

2005Humboldt Research Fellowship Programme

Publications (partial selection)

2007Joachim Escher and Zhaoyang Yin: Initial boundary value problems of the Degasperis-Procesi equation. In: Physics Letters A, 2007, 69-76
2007Zhaoyang Yin: On the Cauchy problem for the generalized Camassa-Holm equation. In: Nonlinear Analysis, 2007, 460-471
2007Joachim Escher, Yue Liu and Zhaoyang Yin: Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation. In: Indiana University Mathematics Journal , 2007, 87-117
2007Joachim Escher, Olaf Lechtenfeld and Zhaoyang Yin: Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation. In: Discrete and Continuous Dynamical Systems-Series A, 2007, 493-513
2006Shuyin Wu and Zhaoyang Yin: Blow-up, blow-up rate and decay of the solution of the weakly dissipative Camassa-Holm equation. In: Journal of Mathematical Physics, 2006, 1-12
2006Zhaoyang Yin: Bounded positive solutions of second order nonlinear differential equations. In: Differential Equations, 2006, 23-32
2006Yue Liu and Zhaoyang Yin: Global existence and blow-up phenomena for the Degasperis-Procesi equation . In: Communications in Mathematical Physics , 2006, 801-820
2006Zhaoyang Yin: Global existence for quasilinear parabolic systems with homogeneous Neumann boundary conditions. In: Nonlinear Differential Equations and Applications, 2006, 235-248
2006Joachim Escher, Yue Liu and Zhaoyang Yin: Global weak solutions and blow-up structure for the Degasperis-Procesi equation . In: Journal of Functional Analysis, 2006, 457-485
2006Zhaoyang Yin: On the global weak solution to an integrable shallow water equation with linear and nonlinear dispersion. In: Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. , 2006, 321-336