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Braids and dynamics / / Jean-Luc Thiffeault
| Braids and dynamics / / Jean-Luc Thiffeault |
| Autore | Thiffeault Jean-Luc |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (147 pages) |
| Disciplina | 514.224 |
| Collana | Frontiers in applied dynamical systems |
| Soggetto topico |
Braid theory
Fluid dynamics Dynamics Dinàmica de fluids |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031047909
9783031047893 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- List of Symbols -- 1 Introduction -- 1.1 Motivation: Fluid Mixing -- 1.2 Taffy Pullers -- 1.3 Outline -- 2 Topological Dynamics on the Torus -- 2.1 Diffeomorphisms of the Torus -- 2.2 The Fundamental Group of a Surface -- 2.3 The Mapping Class Group of the Torus -- 2.4 Classification of MCG(T2) -- 2.4.1 Elliptic Case -- 2.4.2 Parabolic Case -- 2.4.3 Hyperbolic Case -- 2.5 Summary -- 3 Stretching with Three Rods -- 3.1 From the Torus to the Sphere -- 3.2 The Mapping Class Groups of S4 and D3 -- 3.3 Dehn Twists -- 3.4 Fluid Stirring with Three Rods -- 3.5 Taffy Pulling with Three Rods -- 3.6 Summary -- 4 Braids -- 4.1 Braids as Particle Dances -- 4.2 Algebraic Braids -- 4.3 Artin's Representation -- 4.4 Free Homotopy Representation -- 4.5 The Burau Representation -- 4.6 Summary -- 5 The Thurston-Nielsen Classification -- 5.1 Classification of Diffeomorphisms of a Surface -- 5.2 Pseudo-Anosov Maps -- 5.3 The Degree of the Dilatation -- 5.4 Summary -- 6 Topological Entropy -- 6.1 Definition -- 6.2 Word Length Growth -- 6.3 The Burau Estimate for the Dilatation -- 6.4 An Upper Bound -- 6.5 Summary -- 7 Train Tracks -- 7.1 The Figure-Eight Stirring Device -- 7.2 A Second Pseudo-Anosov Example -- 7.3 A Reducible Example -- 7.4 Finding Cancellations -- 7.5 Summary -- 8 Dynnikov Coordinates -- 8.1 Coordinates for Multicurves -- 8.2 Action of Braids on Dynnikov Coordinates (Update Rules) -- 8.2.1 Update Rules for sigmai -- 8.2.2 Update Rules for sigmaiinv -- 8.3 Max-Plus Algebra -- 8.4 Mapping Classes and Dynnikov Coordinates -- 8.4.1 Finite-Order Case -- 8.4.2 Reducible Case -- 8.4.3 Pseudo-Anosov Case -- 8.5 The Word Problem -- 8.6 Summary -- 9 The Braidlab Library -- 9.1 Setup and Getting Help -- 9.2 Braids -- 9.2.1 Basic Operations -- 9.2.2 Representation and Invariants -- 9.3 Loops -- 9.3.1 Acting on Loops with Braids.
9.3.2 Loop Coordinates for a Braid -- 9.4 Entropy and Train Tracks -- 9.4.1 Topological Entropy and Complexity -- 9.4.2 Train Track Map and Transition Matrix -- 9.5 Summary -- 10 Braids and Data Analysis -- 10.1 Braids from Closed Trajectories -- 10.1.1 Constructing a Braid from Orbit Data -- 10.1.2 An Example: Taffy Pullers -- 10.1.3 Changing the Projection Line -- 10.2 Braids from Non-closed Trajectories -- 10.2.1 Constructing a Braid from Data: An Example -- 10.2.2 Changing the Projection Line and Enforcing Closure -- 10.2.3 Finite-Time Braiding Exponent (FTBE) -- 10.3 Summary -- Derivation of Dynnikov Update Rules (Spencer A. Smith) -- A.1 Dynnikov Coordinates -- A.2 Whitehead Moves -- A.2.1 Triangulation Coordinates -- A.2.2 Whitehead Move and Update Rule -- A.3 Deriving the Update Rules -- A.3.1 Counterclockwise Switch -- A.3.2 Equivalence of Update Rules -- A.3.3 Clockwise Switch -- A.3.4 Edge Cases -- References -- Index. |
| Record Nr. | UNISA-996490347603316 |
Thiffeault Jean-Luc
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Braids and dynamics / / Jean-Luc Thiffeault
| Braids and dynamics / / Jean-Luc Thiffeault |
| Autore | Thiffeault Jean-Luc |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (147 pages) |
| Disciplina | 514.224 |
| Collana | Frontiers in applied dynamical systems |
| Soggetto topico |
Braid theory
Fluid dynamics Dynamics Dinàmica de fluids |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031047909
9783031047893 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- List of Symbols -- 1 Introduction -- 1.1 Motivation: Fluid Mixing -- 1.2 Taffy Pullers -- 1.3 Outline -- 2 Topological Dynamics on the Torus -- 2.1 Diffeomorphisms of the Torus -- 2.2 The Fundamental Group of a Surface -- 2.3 The Mapping Class Group of the Torus -- 2.4 Classification of MCG(T2) -- 2.4.1 Elliptic Case -- 2.4.2 Parabolic Case -- 2.4.3 Hyperbolic Case -- 2.5 Summary -- 3 Stretching with Three Rods -- 3.1 From the Torus to the Sphere -- 3.2 The Mapping Class Groups of S4 and D3 -- 3.3 Dehn Twists -- 3.4 Fluid Stirring with Three Rods -- 3.5 Taffy Pulling with Three Rods -- 3.6 Summary -- 4 Braids -- 4.1 Braids as Particle Dances -- 4.2 Algebraic Braids -- 4.3 Artin's Representation -- 4.4 Free Homotopy Representation -- 4.5 The Burau Representation -- 4.6 Summary -- 5 The Thurston-Nielsen Classification -- 5.1 Classification of Diffeomorphisms of a Surface -- 5.2 Pseudo-Anosov Maps -- 5.3 The Degree of the Dilatation -- 5.4 Summary -- 6 Topological Entropy -- 6.1 Definition -- 6.2 Word Length Growth -- 6.3 The Burau Estimate for the Dilatation -- 6.4 An Upper Bound -- 6.5 Summary -- 7 Train Tracks -- 7.1 The Figure-Eight Stirring Device -- 7.2 A Second Pseudo-Anosov Example -- 7.3 A Reducible Example -- 7.4 Finding Cancellations -- 7.5 Summary -- 8 Dynnikov Coordinates -- 8.1 Coordinates for Multicurves -- 8.2 Action of Braids on Dynnikov Coordinates (Update Rules) -- 8.2.1 Update Rules for sigmai -- 8.2.2 Update Rules for sigmaiinv -- 8.3 Max-Plus Algebra -- 8.4 Mapping Classes and Dynnikov Coordinates -- 8.4.1 Finite-Order Case -- 8.4.2 Reducible Case -- 8.4.3 Pseudo-Anosov Case -- 8.5 The Word Problem -- 8.6 Summary -- 9 The Braidlab Library -- 9.1 Setup and Getting Help -- 9.2 Braids -- 9.2.1 Basic Operations -- 9.2.2 Representation and Invariants -- 9.3 Loops -- 9.3.1 Acting on Loops with Braids.
9.3.2 Loop Coordinates for a Braid -- 9.4 Entropy and Train Tracks -- 9.4.1 Topological Entropy and Complexity -- 9.4.2 Train Track Map and Transition Matrix -- 9.5 Summary -- 10 Braids and Data Analysis -- 10.1 Braids from Closed Trajectories -- 10.1.1 Constructing a Braid from Orbit Data -- 10.1.2 An Example: Taffy Pullers -- 10.1.3 Changing the Projection Line -- 10.2 Braids from Non-closed Trajectories -- 10.2.1 Constructing a Braid from Data: An Example -- 10.2.2 Changing the Projection Line and Enforcing Closure -- 10.2.3 Finite-Time Braiding Exponent (FTBE) -- 10.3 Summary -- Derivation of Dynnikov Update Rules (Spencer A. Smith) -- A.1 Dynnikov Coordinates -- A.2 Whitehead Moves -- A.2.1 Triangulation Coordinates -- A.2.2 Whitehead Move and Update Rule -- A.3 Deriving the Update Rules -- A.3.1 Counterclockwise Switch -- A.3.2 Equivalence of Update Rules -- A.3.3 Clockwise Switch -- A.3.4 Edge Cases -- References -- Index. |
| Record Nr. | UNINA-9910592982603321 |
|
Thiffeault Jean-Luc
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dynamics of fluids in porous media / / Jacob Bear
| Dynamics of fluids in porous media / / Jacob Bear |
| Autore | Bear Jacob |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Newburyport : , : Dover Publications, Inc., , 1988 |
| Descrizione fisica | 1 online resource (1512 pages) |
| Disciplina | 620.1/064 |
| Collana | Dover Civil and Mechanical Engineering Series |
| Soggetto topico |
Fluid dynamics
Groundwater flow Dinàmica de fluids Aigües subterrànies - Escolament Civil & Environmental Engineering Engineering & Applied Sciences Civil Engineering |
| ISBN |
9780486131801
0486131807 9781621986393 162198639X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; Dedication; Contents; Preface; CHAPTER 1 Introduction; 1.1 Aquifers, Ground Water and Oil Reservoirs; 1.1.1 Definitions; 1.1.2 The Moisture Distribution in a Vertical Profile; 1.1.3 Classification of Aquifers; 1.1.4 Properties of Aquifers; 1.1.5 The Oil Reservoir; 1.2 The Porous Medium; 1.3 The Continuum Approach to Porous Media; 1.3.1 The Molecular and Microscopic Levels; 1.3.2 Porosity and Representative Elementary Volume; 1.3.3 Areal and Linear Porosities; 1.3.4 Velocity and Specific Discharge; 1.3.5 Concluding Remarks
CHAPTER 2 Fluids and Porous Matrix Properties2.1 Fluid Density; 2.1.1 Definitions; 2.1.2 Mixture of Fluids; 2.1.3 Measurement of Density; 2.2 Fluid Viscosity; 2.2.1 Definition; 2.2.2 Non-Newtonian Fluids; 2.2.3 Units; 2.2.4 Effect of Pressure and Temperature; 2.2.5 Measurement of Viscosity; 2.3 Fluid Compressibility; 2.4 Statistical Description of Porous Media; 2.4.1 Particle-Size Distribution; 2.4.2 Pore-Size Distribution; 2.4.3 Other Statistical Descriptions; 2.5 Porosity; 2.5.1 Porosity and Effective Porosity; 2.5.2 Porosity, Structure and Packing; 2.5.3 Porosity Measurement 2.6 Specific Surface2.6.1 Definitions; 2.6.2 Measurement of Specific Surface; 2.7 Matrix and Medium Compressibility; CHAPTER 3 Pressure and Piezometric Head; 3.1 Stress at a Point; 3.2 Hydrostatic Pressure Distribution; 3.3 Piezometric Head; CHAPTER 4 The Fundamental Fluid Transport Equations in Porous Media; 4.1 Particles, Velocities and Fluxes in a Fluid Continuum; 4.1.1 Definitions of Particles and Velocities; 4.1.2 Diffusive Velocities and Fluxes; 4.1.3 The Eulerian and Lagrangian Points of View; 4.1.4 The Substantial Derivative; 4.2 The General Conservation Principle 4.3 Equations of Mass, Momentum and Energy Conservation in a Fluid Continuum4.3.1 Mass Conservation of a Species; 4.3.2 Mass Conservation of a Fluid System; 4.3.3 Conservation of Linear Momentum of a Species α; 4.3.4 Conservation of Linear Momentum of a Fluid System; 4.4 Constitutive Assumptions and Coupled Processes; 4.4.1 General Considerations; 4.4.2 Principles to be Used in Forming Constitutive Equations; 4.4.3 Coupled Processes; 4.5 A Porous Medium Model; 4.5.1 The Conceptual Model Approach; 4.5.2 A Model of Flow Through a Porous Medium; 4.5.3 Frames of Reference 4.5.4 An Averaging Procedure4.6 Equations of Volume and Mass Conservation; 4.6.1 Equation of Volume Conservation; 4.6.2 Equation of Mass Conservation of a Species in Solution; 4.6.3 Equation of Mass Conservation; 4.7 Equation of Motion; 4.8 Tortuosity and Permeability; 4.8.1 Relationship Between Tortuosity and Permeability; 4.8.2 Tortuosity and Other Transport Coefficients; 4.8.3 Formation Factor and Resistivity Index (Amyx 1960) in Reservoir Engineering; CHAPTER 5 The Equation of Motion of a Homogeneous Fluid; 5.1 The Experimental Law of Darcy; 5.2 Generalization of Darcy's Law 5.2.1 Isotropic Medium |
| Record Nr. | UNINA-9911007082203321 |
|
Bear Jacob
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| Newburyport : , : Dover Publications, Inc., , 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Engineering applications of computational fluid mechanics
| Engineering applications of computational fluid mechanics |
| Pubbl/distr/stampa | [Kowloon, Hong Kong] : , : Department of Civil & Environmental Engineering, The Hong Kong Polytechnic University, , 2007- |
| Descrizione fisica | 1 online resource |
| Soggetto topico |
Computational fluid dynamics
Dinàmica de fluids Enginyeria civil |
| Soggetto genere / forma |
Periodicals.
Revistes electròniques. |
| ISSN | 1997-003X |
| Formato | Materiale a stampa |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910130557203321 |
| [Kowloon, Hong Kong] : , : Department of Civil & Environmental Engineering, The Hong Kong Polytechnic University, , 2007- | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Equations of motion for incompressible viscous fluids : with mixed boundary conditions / / Tujin Kim, Daomin Cao
| Equations of motion for incompressible viscous fluids : with mixed boundary conditions / / Tujin Kim, Daomin Cao |
| Autore | Kim Tujin |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (374 pages) |
| Disciplina | 515 |
| Collana | Advances in Mathematical Fluid Mechanics |
| Soggetto topico |
Dinàmica de fluids
Problemes de contorn Calculus Functions Harmonic analysis Mathematical analysis |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-78659-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466403903316 |
|
Kim Tujin
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Equations of motion for incompressible viscous fluids : with mixed boundary conditions / / Tujin Kim, Daomin Cao
| Equations of motion for incompressible viscous fluids : with mixed boundary conditions / / Tujin Kim, Daomin Cao |
| Autore | Kim Tujin |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (374 pages) |
| Disciplina | 515 |
| Collana | Advances in Mathematical Fluid Mechanics |
| Soggetto topico |
Dinàmica de fluids
Problemes de contorn Calculus Functions Harmonic analysis Mathematical analysis |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-78659-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910503002103321 |
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Kim Tujin
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Experiments in fluids
| Experiments in fluids |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg, : Springer |
| Disciplina | 532.05105 |
| Soggetto topico |
Fluid dynamics
Fluides, Dynamique des Strömung Strömungsmesstechnik Strömungsmechanik Zeitschrift Online-Ressource Hidràulica Dinàmica de fluids |
| Soggetto genere / forma |
Periodicals.
Zeitschrift Online-Publikation Revistes electròniques. |
| ISSN | 1432-1114 |
| Formato | Materiale a stampa |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910144605203321 |
| Berlin ; ; Heidelberg, : Springer | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Flow, turbulence and combustion
| Flow, turbulence and combustion |
| Pubbl/distr/stampa | [Dordrecht], : Kluwer Academic Publishers, 1998- |
| Disciplina | 620.1 |
| Soggetto topico |
Mechanics, Applied
Turbulence Combustion Mécanique appliquée Dinàmica de fluids Mecànica aplicada Turbulència |
| Soggetto genere / forma |
Periodicals.
Revistes electròniques. |
| ISSN | 1573-1987 |
| Formato | Materiale a stampa |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910145719303321 |
| [Dordrecht], : Kluwer Academic Publishers, 1998- | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometry, mechanics, and control in action for the falling cat / / Toshihiro Iwai
| Geometry, mechanics, and control in action for the falling cat / / Toshihiro Iwai |
| Autore | Iwai Toshihiro |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (193 pages) |
| Disciplina | 532.05 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Fluid dynamics
Geometric function theory Dinàmica de fluids Teoria geomètrica de funcions |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-16-0688-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466549303316 |
|
Iwai Toshihiro
|
||
| Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Geometry, mechanics, and control in action for the falling cat / / Toshihiro Iwai
| Geometry, mechanics, and control in action for the falling cat / / Toshihiro Iwai |
| Autore | Iwai Toshihiro |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (193 pages) |
| Disciplina | 532.05 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Fluid dynamics
Geometric function theory Dinàmica de fluids Teoria geomètrica de funcions |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-16-0688-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910483590003321 |
|
Iwai Toshihiro
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||
| Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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