Self-intersecting Interfaces for Stationary Solutions of the Two-Fluid Euler Equations

Weak Solutions to the Stationary Incompressible Euler Equations

From two-fluid Euler-Poisson equations to one-fluid Euler equations

We consider quasi-neutral limits in two-fluid isentropic Euler-Poisson equations arising in the modeling of unmagnetized plasmas and semiconductors. For periodic smooth solutions, we justify an asymptotic expansion in a time interval independent of the Debye length. This implies the convergence of the equations to compressible Euler equations. The proof is based on energy estimates for symmetri...

Iterative Solvers for Discretized Stationary Euler Equations

In this paper we treat subjects which are relevant in the context of iterative methods in implicit time integration for compressible flow simulations. We present a novel renumbering technique, some strategies for choosing the time step in the implicit time integration, and a novel implementation of a matrix-free evaluation for matrix-vector products. For the linearized compressible Euler equati...

Stationary solutions for the 2D stochastic dis- sipative Euler equation

A 2-dimensional dissipative Euler equation, subject to a random perturbation is considered. Using compactness arguments, existence of martingale stationary solutions are proved. Mathematics Subject Classification (2000). Primary 60H15, Secondary 76D05.

Global Solutions of the Relativistic Euler Equations

We demonstrate the existence of solutions with shocks for the equations describing a perfect fluid in special relativity, namely, d i v T = 0, where T ~ = (p + pcZ)ulU j + prl ij is the stress energy tensor for the fluid. Here, p denotes the pressure, u the 4-velocity, p the mass-energy density of the fluid, t/~ the flat Minkowski metric, and c the speed of light. We assume that the equation of...