5 papers
Extensible membranes in inviscid flow: aerodynamics and singular limits
Yu Jun Loo, Silas Alben
We develop a two-dimensional inviscid model for extensible membranes with continuous vortex shedding from both edges, coupled to a weak spectral Galerkin discretization of the memb…
Comparison of inviscid and viscous vortex shedding from translating and rotating plates
Yu Jun Loo, Silas Alben
We compare an inviscid vortex sheet model with continuous leading-edge shedding with direct Navier-Stokes simulations over a wide range of unsteady plate motions at moderate Reynol…
Falling plates with leading-edge vortex shedding
Yu Jun Loo, Silas Alben
We develop a new numerical method for thin plates falling in inviscid fluid that allows for leading-edge vortex shedding. The inclusion of leading-edge shedding restores physical d…
Hölder regularity of the equation on the polydisc
Yu Jun Loo, Alexander Tumanov
In this note, we show the existence of a solution operator to the equation in the polydisc that preserves Hölder regularity. This solution operator is constructed us…
Optimal Hölder Regularity of Solution Operator to the -equation on Product Domains
Yu Jun Loo
This note seeks to prove the existence of a canonical solution operator to the -equation that preserves Hölder regularity on product domains. It is a well known fact…