Browsing 2018 by MSC "35"

Now showing items 1-3 of 3

Homogenization of a nonlinear monotone problem with nonlinear Signorini boundary conditions in a domain with highly rough boundary

[OWP-2018-06] Gaudiello, Antonio; Mel'nyk, Taras A. (Mathematisches Forschungsinstitut Oberwolfach, 2018-04-16)

We consider a domain $\Omega_\varepsilon\subset\mathbb{R}^N$ , $N\geq2$ , with a very rough boundary depending on~ $\varepsilon$ . For instance, if $N=3$ the domain $\Omega_\varepsilon$ has the form of a brush with an ...
Some Results Related to Schiffer's Problem

[OWP-2018-18] Kawohl, Bernd; Lucia, Marcello (Mathematisches Forschungsinstitut Oberwolfach, 2018-08-16)

We consider the following semilinear overdetermined problem on a two dimensional bounded or unbounded domain $\Omega$ with analytic boundary $\partial\Omega$ having at least one bounded connected component \begin{eqnarray*} ...
A Well-Posedness Result for Viscous Compressible Fluids with Only Bounded Density

[OWP-2018-10] Danchin, Raphaël; Fanelli, Francesco; Paicu, Marius (Mathematisches Forschungsinstitut Oberwolfach, 2018-05-28)

We are concerned with the existence and uniqueness of solutions with only bounded density for the barotropic compressible Navier-Stokes equations. Assuming that the initial velocity has slightly sub-critical regularity and ...