Titlebook: New Directions in Mathematical Fluid Mechanics; The Alexander V. Kaz Andrei V. Fursikov,Giovanni P. Galdi,Vladislav V. Book 2010 Birkh?use

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移植

New Perspectives in Fluid Dynamics: Mathematical Analysis of a Model Proposed by Howard Brenner, system of partial differential equations possesses global-in-time weak solutions for any finite energy initial data. In addition, the density of the fluid remains positive a.a. in the physical domain on any finite time interval.

Entrancing

Optimal Neumann Control for the Two-dimensional Steady-state Navier-Stokes equations,acts at a part of the boundary which is contiguous to the rigid boundary where the no-slip condition holds. Further, certain constraints are imposed on the control and the phase variable. We derive an existence theorem as well as the corresponding optimality system

Narcissist

On Some Boundary Value Problem for the Stokes Equations with a Parameter in an Infinite Sector,, we are concerned in this paper with the boundary value problem for the stationary Stokes equations with a parameter in an infinite sector with the slip and the stress boundary conditions. Existence of the unique solution is proved in weighted Sobolev spaces.

Amorous

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New Directions in Mathematical Fluid Mechanics978-3-0346-0152-8Series ISSN 2297-0320 Series E-ISSN 2297-0339

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Andrei V. Fursikov,Giovanni P. Galdi,Vladislav V. Contributions by leading experts in the field of mathematical physics and mathematical fluid mechanics.The state of the art of a broad range of topics is presented.Dedicated to the memory of A.V. Kazh

鬼魂

,Homogenization of the Poisson—Boltzmann Equation,By the homogenization approach we justify a two-scale model of ion equilibrium between solid layers. By up-scaling, the electric potential equation in nanoslits separated by thin solid layers is approximated by a homogenized macroscale equation in the form of the Poisson equation for an induced vertical electrical field.