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Cheng Yu |
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I am currently a Bing Instructor at Department
of Mathematics, The
University of Texas at Austin. My mentor is Professor
Alexis Vasseur .
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News My joint work with Alexis Vasseur has been selected to
be the topic of a presentation at the Seminaire Bourbaki in IHP,
Paris, June 2017. |
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Publications 9. Global weak solution to the viscous two-phase model with finite energy, (with A. Vasseur, H. Wen), arXiv, accepted by J. Math. Pures Appl. 8. Energy conservation for the weak solutions of the compressible Navier-Stokes equations. Arch. Ration. Mech. Anal. 225 (2017), no. 3, 1073–1087.Journal link 7. Existence of global weak solutions for 3D degenerate compressible Nabvier-Stokes equations (with Alexis Vasseur), Invent. Math. 206 (2016), no. 3, 935–974. Journal link 6. The global weak solutions to compressible Quantum Navier-Stokes equations with damping (with Alexis Vasseur), SIAM J. Math. Anal. 48 (2016), no. 2, 1489–1511. Journal link 5. Global weak solution for density-dependent Navier-Stokes-Vlasov equations (with D. Wang),J. Differential Equations 259 (2015), no. 8, 3976–4008. Journal link 4. Incompressible limit for the compressible flow of liquid crystals (with D. Wang), J. Math. Fluid Mech. 16 (2014), no. 4, 771–786. Journal link 3. Global weak solutions to a coupled compressible Navier-Stokes and $Q$-Tensor system (with D. Wang, X. Xu), Commun. Math. Sci. 13 (2015), no. 1, 49–82. Journal link 2. Global weak solution for incompressible Navier-Stokes-Vlasov equations,J. Math. Pures Appl. (9) 100 (2013), no. 2, 275–293.. Journal link 1. Global weak solution and large-time behavior for the compressible flow of liquid crystals (with D. Wang), Arch. Ration. Mech. Anal. 204 (2012), no. 3, 881–915. Journal link |
Preprints
1. The weak solution of a Boltzmann type equation and its energy conservation. arXiv, preprint 2016, submitted.
2. Global weak solutions to the compressible Navier-Stokes-Vlasov-Boltzmann equations, (with I. Gamba), preprint, 2015.
3. The global existence of weak solutions of the Navier-Stokes-Boltzmann equations, (with L. Yao), arXiv, preprint 2016, submitted.
4. Onsager's energy conservation for inhomogeneous Euler equations, (with R. M. Chen), arXiv, preprint 2017, submitted.
5. The energy conseration for the Navier-Stokes equations in bounded domains, Submitted, 2017.