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Generic Solvability of the Axisymmetric 3-D Euler Equations and the 2-D Boussinesq Equations

✍ Scribed by Dongho Chae; Oleg Yu. Imanuvilov

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
151 KB
Volume
156
Category
Article
ISSN
0022-0396

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πŸ“œ SIMILAR VOLUMES

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The propagation of Ho¨lder regularity of the solutions to the 3D Euler equations is discussed. Our method is a special semi-linearization of the vorticity equation combined with the classical Schauder interior estimates.

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## Abstract We prove the finite‐time vorticity blowup, in the pointwise sense, for solutions of the 3D incompressible Euler equations assuming some conditions on the initial data and its corresponding solutions near initial time. These conditions are represented by the relation between the deformat

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The implementation of boundary conditions at rigid, fixed wall boundaries in inviscid Euler solutions by upwind, finite volume methods is considered. Some current methods are reviewed. Two new boundary condition procedures, denoted as the symmetry technique and the cur6ature-corrected symmetry techn