| Description |
1 online resource |
| 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 |
| 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'' |
| Notes |
Diss.-- Technische Universität Darmstadt, 2012 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
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Print version record |
| Subject |
Navier-Stokes equations.
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Newtonian fluids -- Mathematical models
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Rheology (Biology)
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Rheology
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MATHEMATICS -- Numerical Analysis.
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Ecuaciones de Navier-Stokes
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Reología
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Rheology (Biology)
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Navier-Stokes equations
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Newtonsche Flüssigkeit
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Inkompressibles Fluid
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Lp-Raum
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| Genre/Form |
dissertations.
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Academic theses
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Academic theses.
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Thèses et écrits académiques.
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| Form |
Electronic book
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| ISBN |
9783658010522 |
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3658010525 |
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3658010517 |
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9783658010515 |
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