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Free boundary problems of the Euler equation: local well-posedness and hydrodynamical instabilities
Free boundary problems of the Euler equation local well-posedness hydrodynamical instabilities
2015/4/3
Free boundary problems of the Euler equation: local well-posedness and hydrodynamical instabilities.
Singular Casimir Elements of the Euler Equation and Equilibrium Points
Singular Casimir Elements Euler Equation Equilibrium Points Analysis of PDEs
2011/10/10
Abstract: The problem of the nonequivalence of the sets of equilibrium points and energy-Casimir extremal points, which occurs in the noncanonical Hamiltonian formulation of equations describing ideal...
Singular Casimir Elements of the Euler Equation and Equilibrium Points
the Euler Equation Equilibrium Points Analysis of PDEs
2011/9/21
Abstract: The problem of the nonequivalence of the sets of equilibrium points and energy-Casimir extremal points, which occurs in the noncanonical Hamiltonian formulation of equations describing ideal...
The 2D Euler equation on singular domains
2D Euler equation singular domains Analysis of PDEs
2011/8/29
Abstract: We establish the existence of global weak solutions of the 2D incompressible Euler equation, for a large class of non-smooth open sets. These open sets are the complements (in a simply conne...
A lower bound on blowup rates for the 3D incompressible Euler equation and a single exponential Beale-Kato-Majda estimate
lower bound blowup rates 3D incompressible Euler exponential Beale-Kato-Majda estimate
2011/8/23
Abstract: We prove a Beale-Kato-Majda criterion for the loss of regularity for solutions of the incompressible Euler equations in $H^{s}(\R^3)$, for $s>\frac52$. Instead of double exponential estimate...
In this paper, we study the point vortex method for 2-D
Euler equation of incompressible flow on the
half plane, and the explicit Euler's scheme is considered with the reflection
method handling th...