Lp-theory for incompressible newtonian flows energy preserving boundary conditions, weakly singular domains Matthias Köhne

Format:

Book

Thesis/Dissertation

Author/Creator:

Köhne, Matthias

Language:

English

Subjects (All):

Navier-Stokes equations.

Newtonian fluids--Mathematical models.

Newtonian fluids.

Rheology (Biology).

Rheology.

Medical Subjects:

Rheology.

Genre:

dissertations

Academic theses

Physical Description:

1 online resource

Place of Publication:

Wiesbaden Springer Spektrum ©2013

Language Note:

English

System Details:

PDF

text file

Summary:

This thesis is devoted to the study of the basic equations of fluid dynamics. First Matthias Köhne focuses on the derivation of a class of boundary conditions, which is based on energy estimates, and, thus, leads to physically relevant conditions. The derived class thereby contains many prominent artificial boundary conditions, which have proved to be suitable for direct numerical simulations involving artificial boundaries. The second part is devoted to the development of a complete Lp-theory for the resulting initial boundary value problems in bounded smooth domains, i.e. the Navier-Stokes equations complemented by one of the derived energy preserving boundary conditions. Finally, the third part of this thesis focuses on the corresponding theory for bounded, non-smooth domains, where the boundary of the domain is allowed to contain a finite number of edges, provided the smooth components of the boundary that meet at such an edge are locally orthogonal. Contents· Navier-Stokes Equations · Energy Preserving Boundary Condition· Weakly Singular Domain· Maximal Lp-RegularityTarget Groups· Scientists, lecturers and graduate students in the fields of mathematical fluid dynamics and partial differential equations as well as experts in applied analysis. The authorMatthias Köhne earned a doctorate of Mathematics under the supervision of Prof. Dr. Dieter Bothe at the Department of Mathematics at TU Darmstadt, where his research was supported by the cluster of excellence ''Center of Smart Interfaces'' and the international research training group ''Mathematical Fluid Dynamics''

Contents:

The Model The Navier-Stokes Equations Energy Preserving Boundary Conditions Bounded Smooth Domains L p -Theory for Incompressible Newtonian Flows Tools and Methods Maximal L p -Regularity in a Halfspace Maximal L p -Regularity in a Bent Halfspace Maximal L p -Regularity in a Bounded Smooth Domain Bounded Weakly Singular Domains L p -Theory in Weakly Singular Domains

Notes:

Diss.-- Technische Universität Darmstadt, 2012

Includes bibliographical references and index

Print version record

Other Format:

Print version Khne, Matthias. Lp-theory for incompressible newtonian flows

ISBN:

9783658010522

3658010525

3658010517

9783658010515

OCLC:

821823518

Publisher Number:

10.1007/978-3-658-01

Access Restriction:

Restricted for use by site license