Weak solution of the Euler equations is defined as an L 2 -vector field satisfying the integral relations expressing the mass and momentum balance. Their general nature has been quite unclear. In this work an example of a weak solution on a 2-dimensional torus is constructed that is identically zero
On the nonlinear instability of Euler and Prandtl equations
β Scribed by Emmanuel Grenier
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 155 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0010-3640
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π SIMILAR VOLUMES
A computationally efficient multigrid algorithm for upwind edge-based finite element schemes is developed for the solution of the two-dimensional Euler and Navier -Stokes equations on unstructured triangular grids. The basic smoother is based upon a Galerkin approximation employing an edge-based for
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.
The three-dimensional motion of an incompressible inviscid fluid is classically described by the Euler equations but can also be seen, following Arnold [1], as a geodesic on a group of volume-preserving maps. Local existence and uniqueness of minimal geodesics have been established by Ebin and Marsd