1 citations · 2 across the 13 of their papers we have counts for
15 papers
The viscosity limit of fluid flows with growth/decay conditions at infinity
R. McOwen, P. Topalov
We prove that the Navier-Stokes equation is well-posed in function spaces on , , that contain vector fields of order as with …
Spatial asymptotic expansions in the Navier-Stokes equation
R. McOwen, P. Topalov
We prove that the Navier-Stokes equation for a viscous incompressible fluid in is locally well-posed in spaces of functions allowing spatial asymptotic expansions wi…
The Fundamental Solution of an Elliptic Equation with Singular Drift
Vladimir Maz'ya, Robert McOwen
For , we study the existence and asymptotic properties of the fundamental solution for elliptic operators in nondivergence form, ${\mathcal L}(x,\partial_x)=a_{ij}(x)\part…
Gradient Estimate for Solutions of Second-Order Elliptic Equations
Vladimir Maz'ya, Robert McOwen
We obtain a local estimate for the gradient of solutions to a second-order elliptic equation in divergence form with bounded measurable coefficients that are square-Dini continuous…
Gilbarg-Serrin Equation and Lipschitz Regularity
Vladimir Maz'ya, Robert McOwen
We discuss conditions for Lipschitz and C^1 regularity for a uniformly elliptic equation in divergence form with coefficients that were introduced by Gilbarg & Serrin. In particula…
Perfect fluid flows on with growth/decay conditions at infinity
Robert McOwen, Peter Topalov
We study the well-posedness and the spatial behavior at infinity of perfect fluid flows on with initial data in a scale of weighted Sobolev spaces that allow spatial growth/…