an enhamced scheme is introduced for the solution of two dimensional umsteady euler equations. the finite- volume method of jameson et al. is modified by devicing a pnessune sensor in cell flux calculations. then the discretized gorerning equations ane relaxed in time until na steady state is reached. an appropriate model for the artificial dissipation was also employed. several tests wene cond...

We obtain a general sufficient condition on the geometry of possibly singular planar domains that guarantees global uniqueness for any weak solution to Euler equations them whose vorticity is bounded and initially constant near boundary. While similar existing results require are $$C^{1,1}$$ except at finitely many convex corners, our involves much less domain smoothness, being only slightly mo...

In this paper, we analyze the pressureless damped Euler-Riesz equations posed in either $\mathbb{R}^d$ or $\mathbb{T}^d$. We construct global-in-time existence and uniqueness of classical solutions for system around a constant background state. also establish large-time behaviors showing towards equilibrium as time goes to infinity. For whole space case, first show algebraic decay rate under ad...