3 papers
math.AP2017
On convergence criteria for incompressible Navier-Stokes equations with Navier boundary conditions and physical slip rates
Yasunori Maekawa, Matthew Paddick
We prove some criteria for the convergence of weak solutions of the 2D incompressible Navier-Stokes equations with Navier slip boundary conditions to a strong solution of incompres…
math.AP2016
An existence result for the steady rotating Prandtl equation
Anne-Laure Dalibard, Matthew Paddick
We consider a steady, geophysical 2D fluid in a domain, and focus on its western boundary layer, which is formally governed by a variant of the Prandtl equation. By using the von M…
math.AP2015
Transverse nonlinear instability of Euler-Korteweg solitons
Matthew Paddick
We show that solitary waves for the 2D Euler-Korteweg model for capillary fluids display nonlinear instability when subjected to transverse perturbations.