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2篇 您的检索式:作者名="Dan Osborn"
    题名 作者 年代 出处 被引量
1THE NAVIER-STOKES EQUATIONS WITH THE KINEMATIC AND VORTICITY BOUNDARY CONDITIONS ON NON-FLAT BOUNDARIES显示文摘We study the initial-boundary value problem of the Navier-Stokes equations for incompressible fluids in a general domain in Rn with compact and smooth boundary,subject to the kinematic and vorticity boundary conditions on the non-flat boundary. We observe that,under the nonhomogeneous boundary conditions,the pressure p can be still recovered by solving the Neumann problem for the Poisson equation. Then we establish the well-posedness of the unsteady Stokes equations and employ the solution to reduce our initial-boundary value problem into an initial-boundary value problem with absolute boundary conditions. Based on this,we first establish the well-posedness for an appropriate local linearized problem with the absolute boundary conditions and the initial condition (without the incompressibility condition),which establishes a velocity mapping. Then we develop apriori estimates for the velocity mapping,especially involving the Sobolev norm for the time-derivative of the mapping to deal with the complicated boundary conditions,which leads to the existence of the fixed point of the mapping and the existence of solutions to our initial-boundary value problem. Finally,we establish that,when the viscosity coefficient tends zero,the strong solutions of the initial-boundary value problem in Rn(n ≥ 3) with nonhomogeneous vorticity boundary condition converge in L2 to the corresponding Euler equations satisfying the kinematic condition.Dan Osborne 2009Acta Mathematica Scientia2009,29,4:1
2为猛禽监测和用猛禽监测介绍显示文摘为什么就欧洲的为猛禽监测和用猛禽监测出版一期Ambio专刊?而且,为什么是现在出版?我们将回答这些问题,涉及:1)近来政策形势的发展;2)猛禽作为生物学指标的特殊价值;3)“为猛禽监测”和“用猛禽监测”者之间密切的友好关系提供的机遇。Paola Movalli Guy Duke Dan Osborn 寒江 2008AMBIO-人类环境杂志2008,37,6:0
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