73 citations · 120 across the 17 of their papers we have counts for
17 papers
On Kato's conditions for the inviscid limit of the two-dimensional stochastic Navier-Stokes equation
Ya-Guang Wang, Meng Zhao
We study the asymtotic behavior of solutions to the two-dimensional stochasitc Navier-Stokes (SNS) equation in the small viscosity limit. The SNS equation is supplemented with no-s…
Small-time global approximate controllability for incompressible MHD with coupled Navier slip boundary conditions
Manuel Rissel, Ya-Guang Wang
We study the small-time global approximate controllability for incompressible magnetohydrodynamic (MHD) flows in smoothly bounded two- or three-dimensional domains. The controls ac…
Global exact controllability of ideal incompressible magnetohydrodynamic flows through a planar duct
Manuel Rissel, Ya-Guang Wang
This article is concerned with the global exact controllability for ideal incompressible magnetohydrodynamics in a rectangular domain where the controls are situated in both vertic…
On the interaction problem between a compressible viscous fluid and a nonlinear thermoelastic plate
Srđan Trifunović, Ya-Guang Wang
In this paper we study the interaction problem between a nonlinear thermoelastic plate and a compressible viscous fluid with the adiabatic constant . The existence of a wea…
Remarks on Exponential Stability for a Coupled System of Elasticity and Thermoelasticity with Second Sound
Manuel Rissel, Ya-Guang Wang
We study the large time behavior of solutions to a linear transmission problem in one space dimension. The problem at hand models a thermoelastic material with second sound confine…
Blowup of solutions to the thermal boundary layer problem in two-dimensional incompressible heat conducting flow
Ya-Guang Wang, Shi-Yong Zhu
In this paper, we study the formation of finite time singularities for the solution of the boundary layer equations in the two-dimensional incompressible heat conducting flow. We o…
Well-posedness and blowup of the geophysical boundary layer problem
Xiang Wang, Ya-Guang Wang
Under the assumption that the initial velocity and outflow velocity are analytic in the horizontal variable, the local well-posedness of the geophysical boundary layer problem is o…
Existence of a weak solution to the fluid-structure interaction problem in 3D
Srđan Trifunović, Ya-Guang Wang
We study a nonlinear fluid-structure interaction problem in which the fluid is described by the three-dimensional incompressible Navier-Stokes equations, and the elastic structure…
Separation of the two-dimensional unsteady Prandtl boundary layers under an adverse pressure gradient
Ya-Guang Wang, Shi-Yong Zhu
In this paper, we study the back flow of the two-dimensional unsteady Prandtl boundary layer under an adverse pressure gradient. The occurrence of back flow is an important physica…
Well-posedness of thermal layer equations for inviscid compressible flows
Cheng-Jie Liu, Ya-Guang Wang, Tong Yang
A semi-explicit formula of solution to the boundary layer system for thermal layer derived from the compressible Navier-Stokes equations with the non-slip boundary condition when t…
Global existence of weak solutions to the three-dimensional Prandtl equations with A special structure
Cheng-Jie Liu, Ya-Guang Wang, Tong Yang
The global existence of weak solutions to the three space dimensional Prandtl equations is studied under some constraint on its structure. This is a continuation of our recent stud…
On the ill-posedness of the Prandtl equations in three space dimensions
Cheng-Jie Liu, Ya-Guang Wang, Tong Yang
In this paper, we give an instability criterion for the Prandtl equations in three space variables, which shows that the monotonicity condition of tangential velocity fields is not…
Local well-posedness of Prandtl equations for compressible flow in two space variables
Ya-Guang Wang, Feng Xie, Tong Yang
In this paper, we consider the local well-posedness of the Prandtl boundary layer equations that describe the behavior of boundary layer in the small viscosity limit of the compres…
Structural Stability of Supersonic Contact Discontinuities in Three-Dimensional Compressible Steady Flows
Ya-Guang Wang, Fang Yu
In this paper, we study the structurally nonlinear stability of supersonic contact discontinuities in three-dimensional compressible isentropic steady flows. Based on the weakly li…
A well-posedness theory for the Prandtl equations in three space variables
Cheng-Jie Liu, Ya-Guang Wang, Tong Yang
The well-posedness of the three space dimensional Prandtl equations is studied under some constraint on its flow structure. It reveals that the classical Burgers equation plays an…
Well-posedness of The Prandtl Equation in Sobolev Spaces
Radjesvarane Alexandre, Ya-Guang Wang, Chao-Jiang Xu +1
We develop a new approach to study the well-posedness theory of the Prandtl equation in Sobolev spaces by using a direct energy method under a monotonicity condition on the tangent…
Existence and Stability of Compressible Current-Vortex Sheets in Three-Dimensional Magnetohydrodynamics
Gui-Qiang Chen, Ya-Guang Wang
Compressible vortex sheets are fundamental waves in entropy solutions to the multidimensional hyperbolic systems of conservation laws. For the Euler equations in 2-D gas dynamics,…