Unbounded normal derivative for the Stokes system near boundary
نویسندگان
چکیده
منابع مشابه
Unbounded normal derivative for the Stokes system near boundary
We study local boundary regularity for the Stokes system. We show that, unlike in the interior case, non-local effects can lead to a violation of local regularity in the spatial variables near the boundary.
متن کاملStrong Solutions for the Navier-stokes Equations on Bounded and Unbounded Domains with a Moving Boundary
It is proved under mild regularity assumptions on the data that the Navier-Stokes equations in bounded and unbounded noncylindrical regions admit a unique local-in-time strong solution. The result is based on maximal regularity estimates for the in spatial regions with a moving boundary obtained in [16] and the contraction mapping principle.
متن کاملReduced Navier-Stokes Equations Near a Flow Boundary
We derive a hierarchy of PDEs for the leading-order evolution of wall-based quantities, such as the skin-friction and the wall-pressure gradient, in two-dimensional fluid flows. The resulting Reduced Navier-Stokes (RNS ) equations are defined on the boundary of the flow, and hence have reduced spatial dimensionality compared to the Navier-Stokes equations. This spatial reduction speeds up numer...
متن کاملBoundary Value Problems and Optimal Boundary Control for the Navier–stokes System: the Two-dimensional Case∗
We study optimal boundary control problems for the two-dimensional Navier–Stokes equations in an unbounded domain. Control is effected through the Dirichlet boundary condition and is sought in a subset of the trace space of velocity fields with minimal regularity satisfying the energy estimates. An objective of interest is the drag functional. We first establish three important results for inho...
متن کاملConditions for the Local Regularity of Weak Solutions of the Navier-stokes Equations near the Boundary
In this paper we present conditions for the local regularity of weak solutions of the Navier-Stokes equations near the smooth boundary.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2004
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-004-0575-5