The regular semigroups S with an idempotent set Es = {e0,e1,…,en,…} such that e0>e1>…>en>…is called a regularω-semigroup. In [5] Reilly determined the structure of a regular bisimpleω-semigroup as BR...The regular semigroups S with an idempotent set Es = {e0,e1,…,en,…} such that e0>e1>…>en>…is called a regularω-semigroup. In [5] Reilly determined the structure of a regular bisimpleω-semigroup as BR(G,θ), which is the classical Bruck-Reilly extension of a group G. Warne investigated the regular bisimpleωn-semigroups, he proved in [6] that展开更多
One of the most fundamental problems in theoretical biology is to explain the mechanisms by which patterns and forms are created in the living world. In his seminal paper 'The Chemical Basis of Morphogenesis',...One of the most fundamental problems in theoretical biology is to explain the mechanisms by which patterns and forms are created in the living world. In his seminal paper 'The Chemical Basis of Morphogenesis', Turing showed that a system of coupled reaction-diffusion equations can be used to describe patterns and forms in biological systems. However, the first experimental evidence to the Turing patterns was observed by De Kepper and her associates(1990) on the CIMA reaction in an open unstirred reactor, almost 40 years after Turing's prediction.展开更多
This paper studies multi-solitons of non-integrable generalized Davey-Stewartson system in the elliptic-elliptic case. By extending the method for constructing multi-solitons of non-integrable nonlinear SchrSdinger eq...This paper studies multi-solitons of non-integrable generalized Davey-Stewartson system in the elliptic-elliptic case. By extending the method for constructing multi-solitons of non-integrable nonlinear SchrSdinger equations and systems developed by Martel et al. to the present non-integrable generalized Davey- Stewartson system and overcoming some new difficulties caused by the nonlocal operator B, we prove the existence of multi-solitons for this system. Furthermore, we also give a generalization of this result to a more general class of equations with nonlocal nonlinearities.展开更多
This paper is devoted to studying the initial value problem of the Ginzburg-Landau type equations. We treat the case where the nonlinear interaction function is a general continuous function, not required to satisfy a...This paper is devoted to studying the initial value problem of the Ginzburg-Landau type equations. We treat the case where the nonlinear interaction function is a general continuous function, not required to satisfy any smoothness conditions. Local and global existence results of solutions of the problem are given. Decay estimates are also shown.展开更多
基金Supported by the NSFC(No．10571061)Guangdong national science foundation(No．0501332)．
文摘The regular semigroups S with an idempotent set Es = {e0,e1,…,en,…} such that e0>e1>…>en>…is called a regularω-semigroup. In [5] Reilly determined the structure of a regular bisimpleω-semigroup as BR(G,θ), which is the classical Bruck-Reilly extension of a group G. Warne investigated the regular bisimpleωn-semigroups, he proved in [6] that
文摘One of the most fundamental problems in theoretical biology is to explain the mechanisms by which patterns and forms are created in the living world. In his seminal paper 'The Chemical Basis of Morphogenesis', Turing showed that a system of coupled reaction-diffusion equations can be used to describe patterns and forms in biological systems. However, the first experimental evidence to the Turing patterns was observed by De Kepper and her associates(1990) on the CIMA reaction in an open unstirred reactor, almost 40 years after Turing's prediction.
基金supported by National Natural Science Foundation of China (Grant No. 11571381)
文摘This paper studies multi-solitons of non-integrable generalized Davey-Stewartson system in the elliptic-elliptic case. By extending the method for constructing multi-solitons of non-integrable nonlinear SchrSdinger equations and systems developed by Martel et al. to the present non-integrable generalized Davey- Stewartson system and overcoming some new difficulties caused by the nonlocal operator B, we prove the existence of multi-solitons for this system. Furthermore, we also give a generalization of this result to a more general class of equations with nonlocal nonlinearities.
基金This work is supported by the China National Science Foundation （No. 10471157）.
文摘This paper is devoted to studying the initial value problem of the Ginzburg-Landau type equations. We treat the case where the nonlinear interaction function is a general continuous function, not required to satisfy any smoothness conditions. Local and global existence results of solutions of the problem are given. Decay estimates are also shown.
