期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021; 241 (2)
We consider two-dimensional (2D) pseudosteady flows around a sharp corner. This problem can be seen as a 2D Riemann initial and boundary value problem......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021; 241 (2)
We are concerned with the global weak continuity of the Cartan structural system-or equivalently, the Gauss-Codazzi-Ricci system-on semi-Riemannian ma......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021; 240 (3)
In this paper, we are concerned with the hydrodynamic limit to rarefaction waves of the compressible Euler system for the Landau equation with Coulomb......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021; 241 (2)
For any compact connected manifold M, we consider the generalized contact Hamiltonian H(x, p, u) defined on T*MxR which is convex in p and monotonical......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021; 240 (2)
For the free surface problem of highly subsonic heat-conducting inviscid flow in 2-D and 3-D, a priori estimates for geometric quantities of free surf......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021; 241 (1)
We consider weak solutions of the Novikov equation that lie in the energy space H-1 with non-negative momentum densities. We prove that a special fami......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021; 241 (1)
Boundary effects play an important role in the study of hydrodynamic limits in the Boltzmann theory. Based on a systematic study of the viscous layer ......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021; 241 (1)
By identifying a norm capturing the effect of the forcing governed by the Poisson equation, we give a detailed spectrum analysis on the linearized Vla......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021; 241 (1)
In this paper, we prove the global existence and the large time decay estimate of solutions to Prandtl system with small initial data, which is analyt......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, ; ()
We study the exterior problem for stationary Navier-Stokes equations in two dimensions describing a viscous incompressible fluid flowing past an obsta......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, ; ()
We investigate the properties of an abstract family of advection diffusion equations in the context of the fractional Laplacian. Two independent diffu......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021; 239 (3)
We consider the global existence and large-time asymptotic behavior of strong solutions to the Cauchy problem of the three-dimensional (3D) nonhomogen......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021; 240 (1)
In the Newtonian n-body problem for solutions with arbitrary energy, which start and end either at a total collision or a parabolic/hyperbolic infinit......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2020; 237 (2)
In this paper, we consider the Cauchy problem to the heat conductive compressible Navier-Stokes equations in the presence a of vacuum and with a vacuu......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2020; 238 (1)
In this paper, we study the transition threshold problem for the 2-D Navier-Stokes equations around the Couette flow (y, 0) at high Reynolds number Re......
