63 citations · 179 across the 14 of their papers we have counts for
4 papers · 1 filter
Regularity of solutions of the Navier-Stokes-αβ equations with wall-eddy boundary conditions
Nella Rotundo, Gantumur Tsogtgerel
We establish global well-posedness and regularity for the Navier-Stokes-αβ system endowed with the wall-eddy boundary conditions proposed by Fried and Gurtin (2008). These conditio…
A Scaling Approach to Elliptic Theory for Geometrically-Natural Differential Operators with Sobolev-Type Coefficients
Michael Holst, David Maxwell, Gantumur Tsogtgerel
We develop local elliptic regularity for operators having coefficients in a range of Sobolev-type function spaces (Bessel potential, Sobolev-Slobodeckij, Triebel-Lizorkin, Besov) w…
A prescribed scalar and boundary mean curvature problem and the Yamabe classification on asymptotically Euclidean manifolds with inner boundary
Vladmir Sicca, Gantumur Tsogtgerel
We consider the problem of finding a metric in a given conformal class with prescribed non-positive scalar curvature and non-positive boundary mean curvature on an asymptotically E…
On uniqueness of weak solutions to the second boundary value problem for generated prescribed Jacobian equations
Gerard Awanou, Gantumur Tsogtgerel
We prove that two Aleksandrov solutions of a generated prescribed Jacobian equation have the same gradients at points where they are both differentiable. For the optimal transporta…