A note on the trace theorem for domains which are locally subgraph of a Hölder continuous function

DOI10.3934/nhm.2014.9.191zbMath1305.74031arXiv1311.3329OpenAlexW2064007937MaRDI QIDQ480062

Boris Muha

Publication date: 8 December 2014

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.3329

zbMATH Keywords

Sobolev spacesfluid-structure interactionnon-Lipschitz domainTrace Theorem

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10)

Related Items

A nonlinear fluid-structure interaction problem in compliant arteries treated with vascular stents, Weak solution to the incompressible viscous fluid and a thermoelastic plate interaction problem in 3D, Fluid–Structure Interaction in Hemodynamics: Modeling, Analysis, and Numerical Simulation, Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange, Compressible fluids interacting with plates: regularity and weak-strong uniqueness, On the Interaction Problem between a Compressible Viscous Fluid and a Nonlinear Thermoelastic Plate, Existence and regularity of weak solutions for a fluid interacting with a non-linear shell in three dimensions, Unrestricted deformations of thin elastic structures interacting with fluids, An incompressible polymer fluid interacting with a Koiter shell, Existence of a weak solution to the fluid-structure interaction problem in 3D

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solutions to a fluid-structure interaction free boundary problem
• Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate
• Existence of a weak solution to a nonlinear fluid-structure interaction problem modeling the flow of an incompressible, viscous fluid in a cylinder with deformable walls
• Existence of a solution to a fluid-multi-layered-structure interaction problem
• Existence of strong solutions for a system coupling the Navier-Stokes equations and a damped wave equation
• Weak solutions for an incompressible Newtonian fluid interacting with a Koiter type shell
• Existence of Weak Solutions for the Unsteady Interaction of a Viscous Fluid with an Elastic Plate
• A proof of the trace theorem of Sobolev spaces on Lipschitz domains
• The Interaction of the 3D Navier–Stokes Equations with a Moving Nonlinear Koiter Elastic Shell