The author studies two singular limits of the convective Navier-Stokes equations.The hydrostatic limit is first studied:the author shows the existence of global solutions with a convex pressure field and derives them ...The author studies two singular limits of the convective Navier-Stokes equations.The hydrostatic limit is first studied:the author shows the existence of global solutions with a convex pressure field and derives them from the convective Navier-Stokes equations as long as the pressure field is smooth and strongly convex.The (friction dominated) Darcy limit is also considered,and a relaxed version is studied.展开更多
基金supported by ANR contract OTARIE ANR-07-BLAN-0235the program "Optimal Transport"
文摘The author studies two singular limits of the convective Navier-Stokes equations.The hydrostatic limit is first studied:the author shows the existence of global solutions with a convex pressure field and derives them from the convective Navier-Stokes equations as long as the pressure field is smooth and strongly convex.The (friction dominated) Darcy limit is also considered,and a relaxed version is studied.