Lower Bound on the Blow-up Rate of the Axisymmetric Navier-Stokes Equations (2008)
Chen, Chiun-Chuan, Strain, Robert M., Yau, Horng-Tzer, Tsai, Tai-Peng
Consider axisymmetric strong solutions of the incompressible Navier–Stokes equations in with nontrivial swirl. Such solutions are not known to be globally defined, but it is shown in ([1],...
Lower bounds on the blow-up rate of the axisymmetric Navier-Stokes equations II (2007)
Chen, Chiun-Chuan, Strain, Robert M., Tsai, Tai-Peng, Yau, Horng-Tzer
Consider axisymmetric strong solutions of the incompressible Navier-Stokes equations in $\R^3$ with non-trivial swirl. Let $z$ denote the axis of symmetry and $r$ measure the distance to the z-axis....
Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations (2007)
Chen, Chiun-Chuan, Strain, Robert M., Tsai, Tai-Peng, Yau, Horng-Tzer
Consider axisymmetric strong solutions of the incompressible Navier-Stokes equations in $\R^3$ with non-trivial swirl. Such solutions are not known to be globally defined, but it is shown in...
Prescribing Scalar Curvature on SN, Part 1: Apriori Estimates (2001)
Chen, Chiun-Chuan, Lin, Chang-Shou
In this paper, we describe great details of the bubbling behavior for a sequence of solutions wi of Lwi + Riwn+2/n−2i = 0 on Sn, where L is the conformal Laplacian operator of (Sn, g0) and Ri = n(n...