Showing papers on "Antisymmetry published in 2018"

Time periodic problem for the compressible Navier–Stokes equation on $\mathbb{R}^2$ with antisymmetry

Abstract: The compressible Navier–Stokes equation is considered on the two dimensional whole space when the external force is periodic in the time variable. The existence of a time periodic solution is proved for sufficiently small time periodic external force with antisymmetry condition. The proof is based on using the time-$T$-map associated with the linearized problem around the motionless state with constant density. In some weighted $L^\infty$ and Sobolev spaces the spectral properties of the time-$T$-map are investigated by a potential theoretic method and an energy method. The existence of a stationary solution to the stationary problem is also shown for sufficiently small time-independent external force with antisymmetry condition on $\mathbb{R}^2$.

Antisymmetry of the stochastic order on all ordered topological spaces.

Abstract: In this short note, we prove that the stochastic order of Radon probability measures on any ordered topological space is antisymmetric. This has been known before in various special cases. We give a simple and elementary proof of the general result.

Antisymmetry of the stochastic order on all ordered metric spaces

Abstract: In this short note, we prove that the stochastic order of Radon probability measures on any metric space is antisymmetric.

Antisymmetry of solutions for some weighted elliptic problems

Abstract: This article concerns the antisymmetry, uniqueness, and monotonicity properties of solutions to some elliptic functionals involving weights and a double well potential. In the one-dimensional case,...