4 papers · 1 filter
Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in
Ruilin Hu, Quoc-Hung Nguyen, Feng Shao +3
In this paper, we establish local existence of strong solutions for the three-dimensional inhomogeneous incompressible Navier-Stokes equations with initial data lying…
Self-similar blow-up solutions of -dimensional incompressible Euler equations with velocity
Feng Shao, Dongyi Wei, Ping Zhang +1
We investigate self-similar blow-up solutions to the -dimensional axisymmetric incompressible Euler equations without swirl for . For any with $α_d=1-2…
Global well-posedness and self-similar solution of the inhomogeneous Navier-Stokes system
Tiantian Hao, Feng Shao, Dongyi Wei +2
In this paper, we study the global well-posedness of the 3-D inhomogeneous incompressible Navier-Stokes system (INS in short) with initial density being discontinuous and in…
Global derivation of the 1D Vlasov-Poisson equation from quantum many-body dynamics with screened Coulomb potential
Xuwen Chen, Shunlin Shen, Ping Zhang +1
We study the 1D quantum many-body dynamics with a screened Coulomb potential in the mean-field setting. Combining the quantum mean-field, semiclassical, and Debye length limits, we…