Partial and Spectral-Viscosity Models for Geophysical Flows Qingshan CHEN Max GUNZBURGER Xiaoming WANG Two models based on the hydrostatic primitive equations are proposed.The first model is the primitive equations wi...Partial and Spectral-Viscosity Models for Geophysical Flows Qingshan CHEN Max GUNZBURGER Xiaoming WANG Two models based on the hydrostatic primitive equations are proposed.The first model is the primitive equations with partial viscosity only,and is oriented towards large-scale wave structures in the ocean and atmosphere.The second model is the viscous primitive equations with spectral eddy viscosity,and is oriented towards turbulent geophysical flows.For both models,the existence and uniqueness of global strong solutions are established.For the second model,the convergence of the solutions to the solutions of the classical primitive equations as eddy viscosity parameters tend to zero is also established.展开更多
A Mathematical Model with Delays for Schistosomiasis Japonicum Transmission Yu YANG Dongmei XIAO A dynamic model of schistosoma japonicum transmission is presented that incorporates effects of the prepatent periods of...A Mathematical Model with Delays for Schistosomiasis Japonicum Transmission Yu YANG Dongmei XIAO A dynamic model of schistosoma japonicum transmission is presented that incorporates effects of the prepatent periods of the different stages of schistosoma into Barbour's model.The model consists of four delay differential equations.Stability of the disease free equilibrium and the existence of an endemic equilibrium for this model are stated in terms of a key threshold parameter The展开更多
Nash and Stackelberg Difierential Games Alain BENSOUSSAN Jens FREHSE Jens VOGELGESANG A large class of stochastic differential games for several players is considered in this paper.The class includes Nash differential...Nash and Stackelberg Difierential Games Alain BENSOUSSAN Jens FREHSE Jens VOGELGESANG A large class of stochastic differential games for several players is considered in this paper.The class includes Nash differential games as well as Stackelberg differential games.A mix is possmle.展开更多
文摘Partial and Spectral-Viscosity Models for Geophysical Flows Qingshan CHEN Max GUNZBURGER Xiaoming WANG Two models based on the hydrostatic primitive equations are proposed.The first model is the primitive equations with partial viscosity only,and is oriented towards large-scale wave structures in the ocean and atmosphere.The second model is the viscous primitive equations with spectral eddy viscosity,and is oriented towards turbulent geophysical flows.For both models,the existence and uniqueness of global strong solutions are established.For the second model,the convergence of the solutions to the solutions of the classical primitive equations as eddy viscosity parameters tend to zero is also established.
文摘A Mathematical Model with Delays for Schistosomiasis Japonicum Transmission Yu YANG Dongmei XIAO A dynamic model of schistosoma japonicum transmission is presented that incorporates effects of the prepatent periods of the different stages of schistosoma into Barbour's model.The model consists of four delay differential equations.Stability of the disease free equilibrium and the existence of an endemic equilibrium for this model are stated in terms of a key threshold parameter The
文摘Nash and Stackelberg Difierential Games Alain BENSOUSSAN Jens FREHSE Jens VOGELGESANG A large class of stochastic differential games for several players is considered in this paper.The class includes Nash differential games as well as Stackelberg differential games.A mix is possmle.
