196 citations · 661 across the 35 of their papers we have counts for
4 papers · 1 filter
On ancient solutions of the heat equation
Fanghua Lin, Qi S. Zhang
An explicit representation formula for all positive ancient solutions of the heat equation in the Euclidean case is found. In the Riemannian case with nonnegative Ricci curvature,…
Regularity for Shape Optimizers: The Degenerate Case
Dennis Kriventsov, Fanghua Lin
We consider minimizers of \[ F(λ_1(Ω),\ldots,λ_N(Ω)) + |Ω|, \] where is a function nondecreasing in each parameter, and is the -th Dirichlet eigenvalue of . This…
On the Viscous Camassa-Holm Equations with Fractional Diffusion
Zaihui Gan, Fang-Hua Lin, Jiajun Tong
We study Cauchy problem of a class of viscous Camassa-Holm equations (or Lagrangian averaged Navier-Stokes equations) with fractional diffusion in both smooth bounded domains and i…
Solvability of the Stokes Immersed Boundary Problem in Two Dimensions
Fang-Hua Lin, Jiajun Tong
We study coupled motion of a 1-D closed elastic string immersed in a 2-D Stokes flow, known as the Stokes immersed boundary problem in two dimensions. Using the fundamental solutio…