18 citations · 36 across the 14 of their papers we have counts for
14 papers
The Isometric Immersion of Negatively Curved Surfaces with Finite Total Curvature
Wentao Cao, Qing Han, Feimin Huang +1
In this paper, we study the smooth isometric immersion of a complete, simply connected surface with a negative Gauss curvature into the three-dimensional Euclidean space. A fundame…
On the isometric version of Whitney's strong embedding theorem
Wentao Cao, László Székelyhidi
We prove a version of Whitney's strong embedding theorem for isometric embeddings within the general setting of the Nash-Kuiper h-principle. More precisely, we show that any -di…
Rigidity and Flexibility of Isometric Extensions
Wentao Cao, Dominik Inauen
In this paper we consider the rigidity and flexibility of isometric extensions and we show that the Hölder exponent is critical in the following sense: if…
The semi-global isometric embedding of surfaces with curvature changing signs stably
Wentao Cao
A semi-global isometric embedding of abstract surfaces with Gaussian curvature changing signs of any finite order is obtained through solving the Darboux equation.
Vanishing viscosity limit for viscous Burgers-Vlasov equations
Wentao Cao, Teng Wang
We establish the vanishing viscosity limit of viscous Burgers-Vlasov equations for one dimensional kinetic model about interactions between a viscous fluid and dispersed particles…
Global weak solutions to inviscid Burgers-Vlasov equations
Huimin Yu, Wentao Cao
In this paper, we consider the existence of global weak solutions to a one dimensional fluid-particles interaction model: inviscid Burgers-Vlasov equations with fluid velocity in $…
Global Nash-Kuiper theorem for compact manifolds
Wentao Cao, László Székelyhidi
We obtain global extensions of the celebrated Nash-Kuiper theorem for isometric immersions of compact manifolds with optimal Hölder exponent. In particular for the Weyl p…
Very weak solutions to the two dimensional Monge-Ampére equation
Wentao Cao, László Székelyhidi
In this short note we revisit the convex integration approach to constructing very weak solutions to the 2D Monge-Ampére equation with Hölder-continuous first derivatives of expone…
Global Entropy Solutions to the Gas Flow in General Nozzle
Wentao Cao, Feimin Huang, Difan Yuan
We are concerned with the global existence of entropy solutions for the compressible Euler equations describing the gas flow in a nozzle with general cross-sectional area, for both…
isometric extensions
Wentao Cao, László Székelyhidi
In this paper we consider the Cauchy problem for isometric immersions. More precisely, given a smooth isometric immersion of a codimension one submanifold we construct is…
Isometric Immersion of Complete Surfaces with Slowly Decaying Negative Gauss Curvature
Wentao Cao, Feimin Huang, Dehua Wang
The isometric immersion of two-dimensional Riemannian manifolds or surfaces in the three-dimensional Euclidean space is a fundamental problem in differential geometry. When the Gau…
Isometric Immersion of Surface with Negative Gauss Curvature and the Lax-Friedrichs Scheme
Wentao Cao, Feimin Huang, Dehua Wang
The isometric immersion of two-dimensional Riemannian manifold with negative Gauss curvature into the three-dimensional Euclidean space is considered through the Gauss-Codazzi equa…
On the convergence rate of the nonlinear-hyperbolic systems for axonal transport
Wentao Cao, Feimin Huang
In this paper, we consider a class of nonlinear reaction-hyperbolic systems with relaxation terms as models for axonal transport in neuroscience. We show the Kruzkov entropy-satisf…
Isometric Immersions of Surfaces with Two Classes of Metrics and Negative Gauss Curvature
Wentao Cao, Feimin Huang, Dehua Wang
The isometric immersion of two-dimensional Riemannian manifolds or surfaces with negative Gauss curvature into the three-dimensional Euclidean space is studied in this paper. The g…