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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 $…
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…
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…