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Record Nr. |
UNINA9910480937603321 |
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Autore |
Gigli Nicola |
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Titolo |
Second order analysis on (P2(M),W2) / / Nicola Gigli |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2011 |
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©2011 |
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ISBN |
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Descrizione fisica |
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1 online resource (154 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 216, Number 1018 |
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Disciplina |
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Soggetti |
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Riemannian manifolds |
Geometry, Differential |
Spaces of measures |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"March 2012, Volume 216, Number 1018 (end of volume)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Contents""; ""Introduction""; ""Chapter 1. Preliminaries and notation""; ""1.1. Riemannian manifolds""; ""1.2. The distance W2""; ""1.3. Kantorovich's dual problem""; ""1.4. First order differentiable structure""; ""Chapter 2. Regular curves""; ""2.1. Cauchy Lipschitz theory on Riemannian manifolds""; ""2.2. Definition and first properties of regular curves""; ""2.3. On the regularity of geodesics""; ""Chapter 3. Absolutely continuous vector fields""; ""3.1. Definition and first properties""; ""3.2. Approximation of absolutely continuous vector fields""; ""Chapter 4. Parallel transport"" |
""4.1. The case of an embedded Riemannian manifold""""4.2. Parallel transport along regular curves""; ""4.3. Forward and backward parallel transport""; ""4.4. On the question of stability and the continuity of P ""; ""Chapter 5. Covariant derivative""; ""5.1. Levi-Civita connection""; ""5.2. The tensor N""; ""5.3. Calculus of derivatives""; ""5.4. Smoothness of time dependent operators""; ""Chapter 6. Curvature""; ""6.1. The curvature tensor""; ""6.2. Related notions of curvature""; ""Chapter 7. Differentiability of the exponential map""; ""7.1. Introduction to the problem"" |
""7.2. Rigorous result""""7.3. A pointwise result""; ""Chapter 8. Jacobi |
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fields""; ""8.1. The Jacobi equation""; ""8.2. Solutions of the Jacobi equation""; ""8.3. Points before the first conjugate""; ""Appendix A. Density of regular curves""; ""Appendix B. C1 curves""; ""Appendix C. On the definition of exponential map""; ""Appendix D. A weak notion of absolute continuity of vector fields""; ""Bibliography"" |
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2. |
Record Nr. |
UNINA9911019419003321 |
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Autore |
Andrady A. L (Anthony L.) |
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Titolo |
Science and technology of polymer nanofibers / / Anthony L. Andrady |
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Pubbl/distr/stampa |
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Hoboken, N.J., : Wiley, c2008 |
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ISBN |
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9786611787943 |
9781281787941 |
1281787949 |
9780470229842 |
0470229845 |
9781615831760 |
1615831762 |
9780470229835 |
0470229837 |
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Descrizione fisica |
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1 online resource (425 p.) |
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Disciplina |
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Soggetti |
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Nanofibers |
Electrospinning |
Synthetic products |
Polymers |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. 329-387) and index. |
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Nota di contenuto |
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SCIENCE AND TECHNOLOGY OF POLYMER NANOFIBERS; CONTENTS; Preface; Acknowledgments; 1 Introduction; 1.1 Historical Background; 1.2 Basic Experimental Approach; 1.3 Description of Electrostatic Spinning; 1.3.1 Droplet Generation; 1.3.2 Taylor's Cone Formation; 1.3.3 Launching of the Jet; 1.3.4 Elongation of Straight Segment; 1.3.5 Whipping Instability Region; 1.3.6 Solidification into Nanofiber; 1.4 |
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Nanofiber Application Areas; 1.4.1 Filtration and Protective Apparel; 1.4.2 Tissue Scaffolding and Drug Delivery; 1.4.3 Nanocomposites; 1.4.4 Sensor Applications; 2 Introduction to Polymer Solutions |
2.1 Average Molecular Weight2.2 Selecting Solvents: Solubility Parameter; 2.3 Thermodynamic Criterion for Solubility; 2.3.1 Change in Entropy; 2.3.2 Change in Enthalpy (ΔH(mix)); 2.4 Macromolecular Models; 2.5 Viscosity of Dilute Polymer Solutions; 2.6 Concentrated Polymer Solutions; 3 Electrospinning Basics; 3.1 Molecular Weight Effects; 3.1.1 The Simha-Frisch Parameter, [η]c; 3.1.2 Solution Entanglement Number n(e); 3.2 Electrical Charge; 3.3 Bead Formation in Electrospinning; 3.4 Introduction to Electrospinning Practice; 4 Factors Affecting Nanofiber Quality; 4.1 The Polymer Solution |
4.1.1 Concentration Effects4.1.2 Solvent System; 4.1.3 Conductivity; 4.1.4 Surface Tension; 4.1.5 Dielectric Constant ε; 4.1.6 Volatility; 4.2 Environment; 4.3 Collector; 4.3.1 Collector Geometry; 4.3.2 Collector Material; 4.4 Applied Potential; 4.4.1 Applied Voltage V; 4.4.2 Polarity of the Tip; 4.5 Feed Rate; 4.6 Capillary Tip; 4.7 Gap Distance; 4.8 Relative Importance of Variables; 4.9 Examples of Reported Data; 5 Characterization of Nanofibers and Mats; 5.1 Mat Porosity and Pore Size Distribution; 5.1.1 Mercury Intrusion Porosimetry; 5.1.2 Liquid Extrusion Porosimetry |
5.1.3 Capillary Flow Porometry5.1.4 Brunauer, Emmett, and Teller (BET) Surface Area; 5.1.5 Other Approaches; 5.2 Nanofiber Diameters and Pore Sizes by Microscopy; 5.2.1 Atomic Force Microscopy Technique; 5.3 Mechanical Properties of Mats; 5.3.1 Mat-Related Variables; 5.4 Single-Fiber Characterization; 5.4.1 Using the AFM for Single-Nanofiber Measurement; 5.4.1.1 Nanoindentation; 5.4.1.2 Bending Test; 5.4.1.3 Uniaxial Extension; 5.5 Nanofiber Crystallinity; 5.5.1 Differential Scanning Calorimetry (DSC) Technique; 5.5.2 X-ray Diffraction Methods; 6 Composite Nanofibers |
6.1 Carbon Nanotubes in Nanofibers6.1.1 Dispersion of Nanotubes; 6.1.2 Orientation of Nanotubes; 6.1.3 Other Carbons; 6.2 Metal-Nanofiber Composites; 6.2.1 Direct Electrospinning; 6.2.2 Reductive Post-Reaction; 6.2.3 Gas-Phase Post-Reaction; 6.3 Polymer-Clay Composites; 6.4 Decorated or Exocomposite Nanofibers; 6.4.1 Nanofiber-Nanoparticle Composites; 6.4.1.1 Dry Methods; 6.4.1.2 Wet Methods; 6.4.2 Nanofiber-Nanotube Composites; 7 Biomedical Applications of Nanofibers; 7.1 Drug Delivery Applications; 7.1.1 Drug-Loaded Fibers; 7.1.2 Controlled Delivery of Macromolecules |
7.2 Scaffolding Applications of Nanofibers |
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Sommario/riassunto |
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Discover new and emerging applications of polymer nanofibers alongside the basic underlying science and technology. With discussions exploring such practical applications as filters, fabrics, sensors, catalysts, scaffolding, drug delivery, and wound dressings, the book provides polymer scientists and engineers with a comprehensive, practical ""how-to"" reference. Moreover, the author offers an expert assessment of polymer nanofibers' near-term potential for commercialization. Among the highlights of coverage is the book's presentation of the science and technology of electrospinning, including |
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