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The Resource Advances in Mathematical Fluid Mechanics : Lecture Notes of the Sixth International School Mathematical Theory in Fluid Mechanics, Paseky, Czech Republic, Sept. 19–26, 1999, edited by Josef Malek, Jindrich Necas, Mirko Rokyta, (electronic resource)
Advances in Mathematical Fluid Mechanics : Lecture Notes of the Sixth International School Mathematical Theory in Fluid Mechanics, Paseky, Czech Republic, Sept. 19–26, 1999, edited by Josef Malek, Jindrich Necas, Mirko Rokyta, (electronic resource)
Resource Information
The item Advances in Mathematical Fluid Mechanics : Lecture Notes of the Sixth International School Mathematical Theory in Fluid Mechanics, Paseky, Czech Republic, Sept. 19–26, 1999, edited by Josef Malek, Jindrich Necas, Mirko Rokyta, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Advances in Mathematical Fluid Mechanics : Lecture Notes of the Sixth International School Mathematical Theory in Fluid Mechanics, Paseky, Czech Republic, Sept. 19–26, 1999, edited by Josef Malek, Jindrich Necas, Mirko Rokyta, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 This book consists of six survey contributions that are focused on several open problems of theoretical fluid mechanics both for incompressible and compressible fluids. The first article "Viscous flows in Besov spaces" by M area Cannone ad dresses the problem of global existence of a uniquely defined solution to the threedimensional NavierStokes equations for incompressible fluids. Among others the following topics are intensively treated in this contribution: (i) the systematic description of the spaces of initial conditions for which there exists a unique local (in time) solution or a unique global solution for small data, (ii) the existence of forward selfsimilar solutions, (iii) the relation of these results to Leray's weak solutions and backward selfsimilar solutions, (iv) the extension of the results to further nonlinear evolutionary problems. Particular attention is paid to the critical spaces that are invariant under the selfsimilar transform. For sufficiently small Reynolds numbers, the conditional stability in the sense of Lyapunov is also studied. The article is endowed by interesting personal and historical comments and an exhaustive bibliography that gives the reader a complete picture about available literature. The papers "The dynamical system approach to the NavierStokes equa tions for compressible fluids" by Eduard Feireisl, and "Asymptotic problems and compressibleincompressible limits" by Nader Masmoudi are devoted to the global (in time) properties of solutions to the NavierStokes equa and three tions for compressible fluids. The global (in time) analysis of two dimensional motions of compressible fluids were left open for many years
 Language

 eng
 eng
 Edition
 1st ed. 2000.
 Extent
 1 online resource (IX, 236 p.)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Contents

 Viscous Flows in Besov Spaces
 The Dynamical Systems Approach to the NavierStrokes Equations of Compressible Fluids
 Adaptive Wavelet Solvers for the Unsteady Incompressible navierStrokes Equations
 Asymptotic Problems and CompressibleIncompressible Limit
 Weighted Spaces with Detached Asymptotic in Application to the NavierStrokes Equations
 On the Mathematical Theory of Fluid Dynamic Limits to Conservation Laws
 Isbn
 9783642573088
 Label
 Advances in Mathematical Fluid Mechanics : Lecture Notes of the Sixth International School Mathematical Theory in Fluid Mechanics, Paseky, Czech Republic, Sept. 19–26, 1999
 Title
 Advances in Mathematical Fluid Mechanics
 Title remainder
 Lecture Notes of the Sixth International School Mathematical Theory in Fluid Mechanics, Paseky, Czech Republic, Sept. 19–26, 1999
 Statement of responsibility
 edited by Josef Malek, Jindrich Necas, Mirko Rokyta
 Language

 eng
 eng
 Summary
 This book consists of six survey contributions that are focused on several open problems of theoretical fluid mechanics both for incompressible and compressible fluids. The first article "Viscous flows in Besov spaces" by M area Cannone ad dresses the problem of global existence of a uniquely defined solution to the threedimensional NavierStokes equations for incompressible fluids. Among others the following topics are intensively treated in this contribution: (i) the systematic description of the spaces of initial conditions for which there exists a unique local (in time) solution or a unique global solution for small data, (ii) the existence of forward selfsimilar solutions, (iii) the relation of these results to Leray's weak solutions and backward selfsimilar solutions, (iv) the extension of the results to further nonlinear evolutionary problems. Particular attention is paid to the critical spaces that are invariant under the selfsimilar transform. For sufficiently small Reynolds numbers, the conditional stability in the sense of Lyapunov is also studied. The article is endowed by interesting personal and historical comments and an exhaustive bibliography that gives the reader a complete picture about available literature. The papers "The dynamical system approach to the NavierStokes equa tions for compressible fluids" by Eduard Feireisl, and "Asymptotic problems and compressibleincompressible limits" by Nader Masmoudi are devoted to the global (in time) properties of solutions to the NavierStokes equa and three tions for compressible fluids. The global (in time) analysis of two dimensional motions of compressible fluids were left open for many years
 Dewey number
 532
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt

 YoP1W0C0h6E
 ePrpfij6bAo
 vVzf0Xn9wyk
 Image bit depth
 0
 Language note
 English
 LC call number
 QA299.6433
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Malek, Josef.
 Necas, Jindrich.
 Rokyta, Mirko.
 http://library.link/vocab/subjectName

 Global analysis (Mathematics)
 Integral equations
 Numerical analysis
 Analysis
 Classical and Continuum Physics
 Integral Equations
 Numerical Analysis
 Theoretical, Mathematical and Computational Physics
 Fluid and Aerodynamics
 Label
 Advances in Mathematical Fluid Mechanics : Lecture Notes of the Sixth International School Mathematical Theory in Fluid Mechanics, Paseky, Czech Republic, Sept. 19–26, 1999, edited by Josef Malek, Jindrich Necas, Mirko Rokyta, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references at the end of each chapters
 Carrier category
 online resource
 Carrier category code
 cr
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Contents
 Viscous Flows in Besov Spaces  The Dynamical Systems Approach to the NavierStrokes Equations of Compressible Fluids  Adaptive Wavelet Solvers for the Unsteady Incompressible navierStrokes Equations  Asymptotic Problems and CompressibleIncompressible Limit  Weighted Spaces with Detached Asymptotic in Application to the NavierStrokes Equations  On the Mathematical Theory of Fluid Dynamic Limits to Conservation Laws
 Dimensions
 unknown
 Edition
 1st ed. 2000.
 Extent
 1 online resource (IX, 236 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9783642573088
 Level of compression
 uncompressed
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9783642573088
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000104205
 (SSID)ssj0000805024
 (PQKBManifestationID)11427647
 (PQKBTitleCode)TC0000805024
 (PQKBWorkID)10822118
 (PQKB)11634637
 (DEHe213)9783642573088
 (MiAaPQ)EBC3090119
 (EXLCZ)993400000000104205
 Label
 Advances in Mathematical Fluid Mechanics : Lecture Notes of the Sixth International School Mathematical Theory in Fluid Mechanics, Paseky, Czech Republic, Sept. 19–26, 1999, edited by Josef Malek, Jindrich Necas, Mirko Rokyta, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references at the end of each chapters
 Carrier category
 online resource
 Carrier category code
 cr
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Contents
 Viscous Flows in Besov Spaces  The Dynamical Systems Approach to the NavierStrokes Equations of Compressible Fluids  Adaptive Wavelet Solvers for the Unsteady Incompressible navierStrokes Equations  Asymptotic Problems and CompressibleIncompressible Limit  Weighted Spaces with Detached Asymptotic in Application to the NavierStrokes Equations  On the Mathematical Theory of Fluid Dynamic Limits to Conservation Laws
 Dimensions
 unknown
 Edition
 1st ed. 2000.
 Extent
 1 online resource (IX, 236 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9783642573088
 Level of compression
 uncompressed
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9783642573088
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000104205
 (SSID)ssj0000805024
 (PQKBManifestationID)11427647
 (PQKBTitleCode)TC0000805024
 (PQKBWorkID)10822118
 (PQKB)11634637
 (DEHe213)9783642573088
 (MiAaPQ)EBC3090119
 (EXLCZ)993400000000104205
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/AdvancesinMathematicalFluidMechanics/iLoYYx4sZVY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/AdvancesinMathematicalFluidMechanics/iLoYYx4sZVY/">Advances in Mathematical Fluid Mechanics : Lecture Notes of the Sixth International School Mathematical Theory in Fluid Mechanics, Paseky, Czech Republic, Sept. 19–26, 1999, edited by Josef Malek, Jindrich Necas, Mirko Rokyta, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>