منابع مشابه
Euler and Navier - Stokes Equations
We present results concerning the local existence, regularity and possible blow up of solutions to incompressible Euler and NavierStokes equations.
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— We prove that the Navier-Stokes, the Euler and the Stokes equations admit a Lagrangian structure using the stochastic embedding of Lagrangian systems. These equations coincide with extremals of an explicit stochastic Lagrangian functional, i.e. they are stochastic Lagrangian systems in the sense of [6].
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We show that nonuniqueness of the Leray-Hopf solutions of the Navier-Stokes equation on the hyperbolic plane (2) observed by Chan and Czubak is a consequence of the Hodge decomposition. We show that this phenomenon does not occur on (n) whenever n ≥ 3. We also describe the corresponding general Hamiltonian framework of hydrodynamics on complete Riemannian manifolds, which includes the hyperboli...
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We consider the steady state Euler and Navier-Stokes equations for both compressible and incompressible flow. Methods are found for accelerating the convergence to a steady state. This acceleration is based on preconditioning the system so that it is no longer time consistent. In order that the acceleration technique be scheme independent this preconditioning is done at the differential equatio...
متن کاملLogarithmically Improved Criteria for Euler and Navier-Stokes Equations
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ژورنال
عنوان ژورنال: Publicacions Matemàtiques
سال: 2008
ISSN: 0214-1493
DOI: 10.5565/publmat_52208_01