Verfügbarkeit: Navier–Stokes equations

Navier–Stokes equations: an introduction with applications

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Bibliographische Detailangaben
Hauptverfasser:	Łukaszewicz, Grzegorz (VerfasserIn), Kalita, Piotr (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cham Springer [2016]
Schriftenreihe:	Advances in Mechanics and Mathematics 34
Schlagworte:	Mathematics Dynamics Ergodic theory Differential equations Partial differential equations Fluid mechanics Partial Differential Equations Ordinary Differential Equations Dynamical Systems and Ergodic Theory Engineering Fluid Dynamics Mathematik Navier-Stokes-Gleichung Lehrbuch
Online-Zugang:	BTU01 FHR01 FRO01 TUM01 UBM01 UBT01 UBW01 UEI01 UPA01 Volltext Inhaltsverzeichnis Abstract
Beschreibung:	1 Online-Ressource (XIV, 390 Seiten, 24 illus)
ISBN:	9783319277608
ISSN:	1571-8689
DOI:	10.1007/978-3-319-27760-8

Internformat

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Datensatz im Suchindex

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adam_text	NAVIER–STOKES EQUATIONS / LUKASZEWICZ, GRZEGORZ : 2016 TABLE OF CONTENTS / INHALTSVERZEICHNIS INTRODUCTION AND SUMMARY EQUATIONS OF CLASSICAL HYDRODYNAMICS MATHEMATICAL PRELIMINARIES STATIONARY SOLUTIONS OF THE NAVIER–STOKES EQUATIONS STATIONARY SOLUTIONS OF THE NAVIER–STOKES EQUATIONS WITH FRICTION STATIONARY FLOWS IN NARROW FILMS AND THE REYNOLDS EQUATION AUTONOMOUS TWO-DIMENSIONAL NAVIER–STOKES EQUATIONS INVARIANT MEASURES AND STATISTICAL SOLUTIONS GLOBAL ATTRACTORS AND A LUBRICATION PROBLEM EXPONENTIAL ATTRACTORS IN CONTACT PROBLEMS NON-AUTONOMOUS NAVIER–STOKES EQUATIONS AND PULLBACK ATTRACTORS PULLBACK ATTRACTORS AND STATISTICAL SOLUTIONS PULLBACK ATTRACTORS AND SHEAR FLOWS TRAJECTORY ATTRACTORS AND FEEDBACK BOUNDARY CONTROL IN CONTACT PROBLEMS.-EVOLUTIONARY SYSTEMS AND THE NAVIER–STOKES EQUATIONS ATTRACTORS FOR MULTIVALUED PROCESSES IN CONTACT PROBLEMS REFERENCES INDEX DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. NAVIER–STOKES EQUATIONS / LUKASZEWICZ, GRZEGORZ : 2016 ABSTRACT / INHALTSTEXT THIS VOLUME IS DEVOTED TO THE STUDY OF THE NAVIER–STOKES EQUATIONS, PROVIDING A COMPREHENSIVE REFERENCE FOR A RANGE OF APPLICATIONS: FROM STUDENTS TO ENGINEERS AND MATHEMATICIANS INVOLVED IN RESEARCH ON FLUID MECHANICS, DYNAMICAL SYSTEMS, AND MATHEMATICAL MODELING. EQUIPPED WITH ONLY A BASIC KNOWLEDGE OF CALCULUS, FUNCTIONAL ANALYSIS, AND PARTIAL DIFFERENTIAL EQUATIONS, THE READER IS INTRODUCED TO THE CONCEPT AND APPLICATIONS OF THE NAVIER–STOKES EQUATIONS THROUGH A SERIES OF FULLY SELF-CONTAINED CHAPTERS. INCLUDING LIVELY ILLUSTRATIONS THAT COMPLEMENT AND ELUCIDATE THE TEXT, AND A COLLECTION OF EXERCISES AT THE END OF EACH CHAPTER, THIS BOOK IS AN INDISPENSABLE, ACCESSIBLE, CLASSROOM-TESTED TOOL FOR TEACHING AND UNDERSTANDING THE NAVIER–STOKES EQUATIONS. INCOMPRESSIBLE NAVIER–STOKES EQUATIONS DESCRIBE THE DYNAMIC MOTION (FLOW) OF INCOMPRESSIBLE FLUID, THE UNKNOWNS BEING THE VELOCITY AND PRESSURE AS FUNCTIONS OF LOCATION (SPACE) AND TIME VARIABLES. A SOLUTION TO THESE EQUATIONS PREDICTS THE BEHAVIOR OF THE FLUID, ASSUMING KNOWLEDGE OF ITS INITIAL AND BOUNDARY STATES. THESE EQUATIONS ARE ONE OF THE MOST IMPORTANT MODELS OF MATHEMATICAL PHYSICS: ALTHOUGH THEY HAVE BEEN A SUBJECT OF VIVID RESEARCH FOR MORE THAN 150 YEARS, THERE ARE STILL MANY OPEN PROBLEMS DUE TO THE NATURE OF NONLINEARITY PRESENT IN THE EQUATIONS. THE NONLINEAR CONVECTIVE TERM PRESENT IN THE EQUATIONS LEADS TO PHENOMENA SUCH AS EDDY FLOWS AND TURBULENCE. IN PARTICULAR, THE QUESTION OF SOLUTION REGULARITY FOR THREE-DIMENSIONAL PROBLEM WAS APPOINTED BY CLAY INSTITUTE AS ONE OF THE MILLENNIUM PROBLEMS, THE KEY PROBLEMS IN MODERN MATHEMATICS. THE PROBLEM REMAINS CHALLENGING AND FASCINATING FOR MATHEMATICIANS, AND THE APPLICATIONS OF THE NAVIER–STOKES EQUATIONS RANGE FROM AERODYNAMICS (DRAG AND LIFT FORCES), TO THE DESIGN OF WATERCRAFT AND HYDROELECTRIC POWER PLANTS, TO MEDICAL APPLICATIONS SUCH AS MODELING THE FLOW OF BLOOD IN THE CIRCULATORY SYSTEM DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	Łukaszewicz, Grzegorz Kalita, Piotr
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series	Advances in Mechanics and Mathematics
series2	Advances in mechanics and mathematics
spelling	Łukaszewicz, Grzegorz Verfasser (DE-588)120793474 aut Navier–Stokes equations an introduction with applications Grzegorz Łukaszewicz, Piotr Kalita Cham Springer [2016] © 2016 1 Online-Ressource (XIV, 390 Seiten, 24 illus) txt rdacontent c rdamedia cr rdacarrier Advances in mechanics and mathematics volume 34 1571-8689 Mathematics Dynamics Ergodic theory Differential equations Partial differential equations Fluid mechanics Partial Differential Equations Ordinary Differential Equations Dynamical Systems and Ergodic Theory Engineering Fluid Dynamics Mathematik Navier-Stokes-Gleichung (DE-588)4041456-5 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Navier-Stokes-Gleichung (DE-588)4041456-5 s 2\p DE-604 Kalita, Piotr Verfasser (DE-588)1102219460 aut Erscheint auch als Druckausgabe 978-3-319-27758-5 Advances in Mechanics and Mathematics 34 (DE-604)BV035421304 34 https://doi.org/10.1007/978-3-319-27760-8 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028961617&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028961617&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Łukaszewicz, Grzegorz Kalita, Piotr Navier–Stokes equations an introduction with applications Advances in Mechanics and Mathematics Mathematics Dynamics Ergodic theory Differential equations Partial differential equations Fluid mechanics Partial Differential Equations Ordinary Differential Equations Dynamical Systems and Ergodic Theory Engineering Fluid Dynamics Mathematik Navier-Stokes-Gleichung (DE-588)4041456-5 gnd
subject_GND	(DE-588)4041456-5 (DE-588)4123623-3
title	Navier–Stokes equations an introduction with applications
title_auth	Navier–Stokes equations an introduction with applications
title_exact_search	Navier–Stokes equations an introduction with applications
title_full	Navier–Stokes equations an introduction with applications Grzegorz Łukaszewicz, Piotr Kalita
title_fullStr	Navier–Stokes equations an introduction with applications Grzegorz Łukaszewicz, Piotr Kalita
title_full_unstemmed	Navier–Stokes equations an introduction with applications Grzegorz Łukaszewicz, Piotr Kalita
title_short	Navier–Stokes equations
title_sort	navier stokes equations an introduction with applications
title_sub	an introduction with applications
topic	Mathematics Dynamics Ergodic theory Differential equations Partial differential equations Fluid mechanics Partial Differential Equations Ordinary Differential Equations Dynamical Systems and Ergodic Theory Engineering Fluid Dynamics Mathematik Navier-Stokes-Gleichung (DE-588)4041456-5 gnd
topic_facet	Mathematics Dynamics Ergodic theory Differential equations Partial differential equations Fluid mechanics Partial Differential Equations Ordinary Differential Equations Dynamical Systems and Ergodic Theory Engineering Fluid Dynamics Mathematik Navier-Stokes-Gleichung Lehrbuch
url	https://doi.org/10.1007/978-3-319-27760-8 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028961617&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028961617&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV035421304
work_keys_str_mv	AT łukaszewiczgrzegorz navierstokesequationsanintroductionwithapplications AT kalitapiotr navierstokesequationsanintroductionwithapplications

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