69 citations · 158 across the 13 of their papers we have counts for
14 papers
Global three-dimensional subsonic Euler flows past an axisymmetric obstacle with large vorticity
Dehua Wang, Tian-Yi Wang, Weiqiang Wang
In this paper, we prove the existence and uniqueness of subsonic solutions to the steady Euler flows past a smooth, axisymmetric obstacle. Specifically, for a broad class of prescr…
On the convergence rates of multi-dimensional subsonic irrotational flows in unbounded domains
Lei Ma, Tian-Yi Wang
This paper is concerned with the convergence rates of subsonic flows for airfoil problem and infinite long largely-open nozzle problem, which is an improvement of [7,11,15,20]. The…
Isothermal Limit of Entropy Solutions of the Euler Equations for Isentropic Gas Dynamics
Gui-Qiang G. Chen, Fei-Min Huang, Tian-Yi Wang
We are concerned with the isothermal limit of entropy solutions in , containing the vacuum states, of the Euler equations for isentropic gas dynamics. We prove that the e…
Low Mach Number Limit and Far Field Convergence Rates of Potential Flows in Multi-Dimensional Nozzles With an Obstacle Inside
Lei Ma, Tian-Yi Wang, Chunjing Xie
This paper considers the low Mach number limit and far field convergence rates of steady Euler flows with external forces in three-dimensional infinitely long nozzles with an obsta…
On subsonic and subsonic-sonic flows with general conservatives force in exterior domains
Xumin Gu, Tian-Ti Wang
In this paper, we study irrotational subsonic and subsonic-sonic flows with general conservative forces in the exterior domains. The conservative forces indicate the new Bernoulli…
Singularity formation for radially symmetric expanding wave of Compressible Euler Equations
Hong Cai, Geng Chen, Tian-Yi Wang
In this paper, for compressible Euler equations in multiple space dimensions, we prove the break-down of classical solutions with a large class of initial data by tracking the prop…
Low Mach Number Limit of Multidimensional Steady Flows on the Airfoil Problem
Mingjie Li, Tian-Yi Wang, Wei Xiang
In this paper, we justify the low Mach number limit of the steady irrotational Euler flows for the airfoil problem, which is the first result for the low Mach number limit of the s…
Low Mach Number Limit of Steady Euler Flows in Multi-Dimensional Nozzles
Mingjie Li, Tian-Yi Wang, Wei Xiang
In this paper, we consider the steady irrotational Euler flows in multidimensional nozzles. The first rigorous proof on the existence and uniqueness of the incompressible flow is p…
Steady Euler Flows with Large Vorticity and Characteristic Discontinuities in Arbitrary Infinitely Long Nozzles
Gui-Qiang G. Chen, Fei-Min Huang, Tian-Yi Wang +1
We establish the existence and uniqueness of smooth solutions with large vorticity and weak solutions with vortex sheets/entropy waves for the steady Euler equations for both compr…
Diffusive Wave in the Low Mach Limit for Compressible Navier-Stokes Equations
Feimin Huang, Tian-Yi Wang, Yong Wang
The low Mach limit for 1D non-isentropic compressible Navier-Stokes flow, whose density and temperature have different asymptotic states at infinity, is rigorously justified. The p…
Incompressible Limit of Solutions of Multidimensional Steady Compressible Euler Equations
Gui-Qiang G. Chen, Feimin Huang, Tian-Yi Wang +1
A compactness framework is formulated for the incompressible limit of approximate solutions with weak uniform bounds with respect to the adiabatic exponent for the steady Euler equ…
Subsonic-sonic Limit of Approximate Solutions to Multidimensional Steady Euler Equations
Gui-Qiang G. Chen, Fei-Min Huang, Tian-Yi Wang
A compactness framework is established for approximate solutions to subsonic-sonic flows governed by the steady full Euler equations for compressible fluids in arbitrary dimension.…
On Multi-Dimensional Sonic-Subsonic Flow
Feimin Huang, Tianyi Wang, Yong Wang
In this paper, a compensated compactness framework is established for sonic-subsonic approximate solutions to the -dimensional Euler equations for steady irrotational…
Vanishing Viscosity Limit for Isentropic Navier-Stokes Equations with Density-dependent Viscosity
Feimin Huang, Ronghua Pan, Tianyi Wang +2
In this paper, we study the vanishing viscosity limit of one-dimensional isentropic compressible Navier-Stokes equations with density-dependent viscosity, to the isentropic compres…