266 citations
- Tongji UniversityCN23 papers
- China Center of Advanced Science and TechnologyCN12 papers
- Hunan Normal UniversityCN9 papers
- Institute of Theoretical PhysicsCN9 papers
- Universidade de São PauloBR9 papers
- Shanghai UniversityCN7 papers
- Chinese Academy of SciencesCN6 papers
- Institute of Modern PhysicsCN5 papers
- Hong Kong University of Science and TechnologyHK4 papers
- Max Planck Institute for MathematicsDE4 papers
- National Dong Hwa UniversityTW4 papers
- Northwestern UniversityUS4 papers
8 papers · 1 filter
Remarks on the Blowup Criteria for Oldroyd Models
Zhen Lei, Nader Masmoudi, Yi Zhou
We provide a new method to prove and improve the Chemin-Masmoudi criterion for viscoelastic systems of Oldroyd type in \cite{CM} in two space dimensions. Our method is much easier…
A Complete Global Solution to the Pressure Gradient Equation
Zhen Lei, Yuxi Zheng
We study the domain of existence of a solution to a Riemann problem for the pressure gradient equation in two space dimensions. The Riemann problem is the expansion of a quadrant o…
The Navier-Stokes Equations with the Kinematic and Vorticity Boundary Conditions on Non-Flat Boundaries
Gui-Qiang Chen, Dan Osborne, Zhongmin Qian
We study the initial-boundary value problem of the Navier-Stokes equations for incompressible fluids in a general domain in with compact and smooth boundary, subject to the…
Uniqueness of Transonic Shock Solutions in a Duct for Steady Potential Flow
Gui-Qiang Chen, Hairong Yuan
We study the uniqueness of solutions with a transonic shock in a duct in a class of transonic shock solutions, which are not necessarily small perturbations of the background solut…
Large-Time Behavior of Periodic Entropy Solutions to Anisotropic Degenerate Parabolic-Hyperbolic Equations
Gui-Qiang Chen, Benoit Perthame
We are interested in the large-time behavior of periodic entropy solutions in to anisotropic degenerate parabolic-hyperbolic equations of second-order. Unlike the pure h…
Well-posedness of the IBVP for 2-D Euler Equations with Damping
Yongqin Liu, Weike Wang
In this paper we focus on the initial-boundary value problem of the 2-D isentropic Euler equations with damping. We prove the global-in-time existence of classical solution to the…