Moving interfaces–and in the stationary case, free boundaries–are ubiquitous in our
environment and daily life. They are at the basis of many physical, chemical, and also …

抄録 This article discusses the Stokes equation in various classes of domains Ω CR n within
the L p-setting for 1≤ p≤∞ from the point of view of evolution equations. Classical as well …

Advances in Mathematical Fluid Mechanics is a forum for the publication of high quality
monographs, or collections of works, on the mathematical theory of fluid mechanics, with …

This paper concerns the existence of global weak solutions to the barotropic compressible
Navier-Stokes equations with degenerate viscosity coefficients. We construct suitable …

Abstract The Neumann problem for (0.1) is considered in bounded domains with smooth
boundary, where and. By means of a variational approach, a statement on boundedness of …

The two-phase free boundary problem for the Navier–Stokes system is considered in a
situation where the initial interface is close to a halfplane. By means of Lp-maximal regularity …

The principle purpose of this work is to investigate a “viscous” version of a “simple” but still
realistic bi-fluid model described in Bresch et al.(in: Giga, Novotný (eds) Handbook of …

In this paper, we prove the Lp-Lq maximal regularity of solutions to the Neumann problem
for the Stokes equations with non-homogeneous boundary condition and divergence …

The paper deals with a phase field system of Cahn-Hilliard type. For positive viscosity
coefficients, the authors prove an existence and uniqueness result and study the long time …

In this paper we develop a geometric theory for quasilinear parabolic problems in weighted
L p-spaces. We prove existence and uniqueness of solutions as well as the continuous …