摘要
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.
Dispersive Blow-Up II. Schrodinger-Type Equations, Optical and Oceanic Rogue Waves Jerry L. BONA Jean-Claude SAUT Addressed here is the occurrence of point singularities which owe to the focusing of short or long waves, a phenomenon labeled dispersive blow-up. The context of this investigation is linear and nonlinear, strongly dispersive equations or systems of equations. The present essay deals with linear and nonlinear Schrodinger equations, a class of fractional order SchrSdinger equations and the linearized water wave equations, with and without surface tension.
出处
《数学年刊（A辑）》
CSCD
北大核心
2010年第6期I0001-I0002,共2页
Chinese Annals of Mathematics
