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Non-uniqueness of Weak Solutions to Hyperviscous Navier-Stokes Euqations

报告题目:Non-uniqueness of Weak Solutions to Hyperviscous Navier-Stokes Euqations

邀请人:顾旭旻

报告时间:2019.8.20 上午10:00-11:00

报告地点:红瓦楼723

报告摘要:Using the convex integration technique for the three-dimensional Navier-Stokes equation introduced by T. Buckmaster and V. Vicol, it is shown the existence of non-unique weak solutions for the 3D Navier-Stokes equations with fractional viscosity $(-\Delta)^{\theta}$, whenever the exponent $\theta$ is less than J.-L. Lions' exponent $5/4$, i.e. $\theta < 5/4$. This is a joint work with E. Titi


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