11 citations · 11 across the 4 of their papers we have counts for
5 papers
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…
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…
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.
The strong inviscid limit of the isentropic compressible Navier-Stokes equations with Navier boundary conditions
Matthew Paddick
We obtain existence and conormal Sobolev regularity of strong solutions to the 3D compressible isentropic Navier-Stokes system on the half-space with a Navier boundary condition, o…
Stability and instability of Navier boundary layers
Matthew Paddick
We study the inviscid limit problem for the incompressible Navier-Stokes equation on a half-plane with a Navier boundary condition depending on the viscosity. On one hand, we prove…