2 citations · 2 across the 3 of their papers we have counts for
6 papers
Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations
Tianwen Luo, Peng Qu
Through an adaption of the convex integration scheme in the two dimensional case, the non-uniqueness of weak solutions is presented for the two-dimensional hypoviscou…
Finite energy weak solution of 2d Boussinesq equation with diffusive temperature
Tianwen Luo, Tao Tao, Liqun Zhang
We show the existence of finite kinetic energy solution with prescribed kinetic energy to the 2d Boussinesq equations with diffusive temperature on torus.
Hölder continuous weak solution of 2d Boussinesq equation with diffusive temperature
Tianwen Luo, Tao Tao, Liqun Zhang
We show the existence of Hölder continuous periodic weak solutions of the 2d Boussinesq equation with diffusive temperature which satisfy the prescribed kinetic energy. More precis…
Non-uniqueness of Weak Solutions to Hyperviscous Navier-Stokes Equations -- On Sharpness of J.-L. Lions Exponent
Tianwen Luo, Edriss S. Titi
Using the convex integration technique for the three-dimensional Navier-Stokes equations introduced by T. Buckmaster and V. Vicol, it is shown the existence of non-unique weak solu…
Hölder Continuous Solutions to the Three-dimensional Prandtl System
Tianwen Luo, Zhouping Xin
Adapting the convex integration technique introduced by De Lellis and Sz{é}kelyhidi, we construct Hölder continuous weak solutions to the three dimensional Prandtl system and some…
Non-uniqueness of Admissible Weak Solutions to Compressible Euler Systems with Source Terms
Tianwen Luo, Chunjing Xie, Zhouping Xin
We consider admissible weak solutions to the compressible Euler system with source terms, which include rotating shallow water system and the Euler system with damping as special e…