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1 Zeytounian, R.Kh Challenges in Fluid Dynamics I10004 2017 eBook  
2 Papachristou, Costas J Aspects of Integrability of Differential Systems and Fields I09485 2019 eBook  
3 Kostadinova, Evdokiya Georgieva Spectral Approach to Transport Problems in Two-Dimensional Disordered Lattices I09372 2018 eBook  
4 Peinke, Joachim Progress in Turbulence VI I09231 2016 eBook  
5 Collins, Michael D Parabolic Wave Equations with Applications I09193 2019 eBook  
6 Conte, Robert The Painlev?? Handbook I09128 2020 eBook  
7 Demidenko, Gennadii V Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy I08916 2020 eBook  
8 Egolf, Peter William Nonlinear, Nonlocal and Fractional Turbulence I08914 2020 eBook  
9 Moradi, Afshin Canonical Problems in the Theory of Plasmonics I08808 2020 eBook  
10 Ramis Orlu (ed.) Progress in Turbulence VIII I08780 2019 eBook  
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TitleChallenges in Fluid Dynamics : A New Approach
Author(s)Zeytounian, R.Kh
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2017.
DescriptionXXVI, 230 p. 38 illus : online resource
Abstract NoteThis monograph presents a synopsis of fluid dynamics based on the personal scientific experience of the author who has contributed immensely to the field. The interested reader will also benefit from the general historical context in which the material is presented in the book. The book covers a wide range of relevant topics of the field, and the main tool being rational asymptotic modelling (RAM) approach. The target audience primarily comprises experts in the field of fluid dynamics, but the book may also be beneficial for graduate students
ISBN,Price9783319316192
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Engineering Fluid Dynamics 4. FLUID MECHANICS 5. HISTORY OF TECHNOLOGY 6. Mathematical Applications in the Physical Sciences 7. MATHEMATICAL PHYSICS 8. PARTIAL DIFFERENTIAL EQUATIONS 9. Technology???History
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TitleAspects of Integrability of Differential Systems and Fields : A Mathematical Primer for Physicists
Author(s)Papachristou, Costas J
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2019.
DescriptionVIII, 94 p. 20 illus : online resource
Abstract NoteThis book serves as an introduction to the concept of integrability as it applies to systems of differential equations as well as to vector-valued fields. The author focuses on specific aspects of integrability that are often encountered in a variety of problems in applied mathematics, physics and engineering. The following general cases of integrability are examined: (a) path-independence of line integrals of vector fields on the plane and in space; (b) integration of a system of ordinary differential equations by using first integrals; and (c) integrable systems of partial differential equations. Special topics include the integration of analytic functions and some elements from the geometric theory of differential systems. Certain more advanced subjects, such as Lax pairs and B??cklund transformations, are also discussed. The book is written at an intermediate level for educational purposes. The presentation is as simple as the topics allow, often sacrificing mathematical rigor in favor of pedagogical efficiency
ISBN,Price9783030350024
Keyword(s)1. DIFFERENTIAL EQUATIONS 2. EBOOK 3. EBOOK - SPRINGER 4. Mathematical Methods in Physics 5. MATHEMATICAL PHYSICS 6. ORDINARY DIFFERENTIAL EQUATIONS 7. PARTIAL DIFFERENTIAL EQUATIONS 8. PHYSICS
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TitleSpectral Approach to Transport Problems in Two-Dimensional Disordered Lattices : Physical Interpretation and Applications
Author(s)Kostadinova, Evdokiya Georgieva
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2018.
DescriptionXIII, 107 p. 39 illus., 36 illus. in color : online resource
Abstract NoteThis thesis introduces the spectral approach to transport problems in infinite disordered systems characterized by Anderson-type Hamiltonians. The spectral approach determines (with probability one) the existence of extended states for nonzero disorder in infinite lattices of any dimension and geometry. Here, the author focuses on the critical 2D case, where previous numerical and experimental results have shown disagreement with theory. Not being based on scaling theory, the proposed method avoids issues related to boundary conditions and provides an alternative approach to transport problems where interaction with various types of disorder is considered. Beginning with a general overview of Anderson-type transport problems and their relevance to physical systems, it goes on to discuss in more detail the most relevant theoretical, numerical, and experimental developments in this field of research. The mathematical formulation of the innovative spectral approach is introduced together with a physical interpretation and discussion of its applicability to physical systems, followed by a numerical study of delocalization in the 2D disordered honeycomb, triangular, and square lattices. Transport in the 2D honeycomb lattice with substitutional disorder is investigated employing a spectral analysis of the quantum percolation problem. Next, the applicability of the method is extended to the classical regime, with an examination of diffusion of lattice waves in 2D disordered complex plasma crystals, along with discussion of proposed future developments in the study of complex transport problems using spectral theory
ISBN,Price9783030022129
Keyword(s)1. CONDENSED MATTER 2. CONDENSED MATTER PHYSICS 3. EBOOK 4. EBOOK - SPRINGER 5. Mathematical Methods in Physics 6. MATHEMATICAL PHYSICS 7. PARTIAL DIFFERENTIAL EQUATIONS 8. PHYSICS 9. PLASMA (IONIZED GASES) 10. PLASMA PHYSICS 11. STATISTICAL PHYSICS 12. Statistical Physics and Dynamical Systems
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TitleProgress in Turbulence VI : Proceedings of the iTi Conference on Turbulence 2014
Author(s)Peinke, Joachim;Kampers, Gerrit;Oberlack, Martin;Waclawcyk, Marta;Talamelli, Alessandro
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2016.
DescriptionXIII, 315 p. 140 illus., 53 illus. in color : online resource
Abstract NoteThis volume collects the edited and reviewed contributions presented in the 6th iTi Conference in Bertinoro, covering fundamental and applied aspects in turbulence. In the spirit of the iTi conference, the volume has been produced after the conference so that the authors had the possibility to incorporate comments and discussions raised during the meeting. In the present book the contributions have been structured according to the topics : I Theory II Wall bounded flows III Particles in flows IV Free flows V Complex flows The volume is dedicated to the memory of Prof. Konrad Bajer who prematurely passed away in Warsaw on August 29, 2014.
ISBN,Price9783319291307
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. COMPLEXITY 3. COMPUTATIONAL COMPLEXITY 4. DYNAMICAL SYSTEMS 5. DYNAMICS 6. EBOOK 7. EBOOK - SPRINGER 8. Engineering Fluid Dynamics 9. FLUID MECHANICS 10. Fluid- and Aerodynamics 11. FLUIDS 12. PARTIAL DIFFERENTIAL EQUATIONS 13. STATISTICAL PHYSICS 14. VIBRATION 15. Vibration, Dynamical Systems, Control
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TitleParabolic Wave Equations with Applications
Author(s)Collins, Michael D;Siegmann, William L
PublicationNew York, NY, 1. Imprint: Springer 2. Springer New York, 2019.
DescriptionIX, 135 p. 74 illus., 37 illus. in color : online resource
Abstract NoteThis book introduces parabolic wave equations, their key methods of numerical solution, and applications in seismology and ocean acoustics. The parabolic equation method provides an appealing combination of accuracy and efficiency for many nonseparable wave propagation problems in geophysics. While the parabolic equation method was pioneered in the 1940s by Leontovich and Fock who applied it to radio wave propagation in the atmosphere, it thrived in the 1970s due to its usefulness in seismology and ocean acoustics. The book covers progress made following the parabolic equation???s ascendancy in geophysics. It begins with the necessary preliminaries on the elliptic wave equation and its analysis from which the parabolic wave equation is derived and introduced. Subsequently, the authors demonstrate the use of rational approximation techniques, the Pad?? solution in particular, to find numerical solutions to the energy-conserving parabolic equation, three-dimensional parabolic equations, and horizontal wave equations. The rest of the book demonstrates applications to seismology, ocean acoustics, and beyond, with coverage of elastic waves, sloping interfaces and boundaries, acousto-gravity waves, and waves in poro-elastic media. Overall, it will be of use to students and researchers in wave propagation, ocean acoustics, geophysical sciences and more
ISBN,Price9781493999347
Keyword(s)1. ACOUSTICS 2. EBOOK 3. EBOOK - SPRINGER 4. GEOPHYSICS 5. Geophysics/Geodesy 6. NUMERICAL ANALYSIS 7. OCEANOGRAPHY 8. PARTIAL DIFFERENTIAL EQUATIONS
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TitleThe Painlev?? Handbook
Author(s)Conte, Robert;Musette, Micheline
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2020.
DescriptionXXXI, 389 p. 15 illus., 6 illus. in color : online resource
Abstract NoteThis book, now in its second edition, introduces the singularity analysis of differential and difference equations via the Painlev?? test and shows how Painlev?? analysis provides a powerful algorithmic approach to building explicit solutions to nonlinear ordinary and partial differential equations. It is illustrated with integrable equations such as the nonlinear Schr??dinger equation, the Korteweg-de Vries equation, H??non-Heiles type Hamiltonians, and numerous physically relevant examples such as the Kuramoto-Sivashinsky equation, the Kolmogorov-Petrovski-Piskunov equation, and mainly the cubic and quintic Ginzburg-Landau equations. Extensively revised, updated, and expanded, this new edition includes: recent insights from Nevanlinna theory and analysis on both the cubic and quintic Ginzburg-Landau equations; a close look at physical problems involving the sixth Painlev?? function; and an overview of new results since the book???s original publication with special focus on finite difference equations. The book features tutorials, appendices, and comprehensive references, and will appeal to graduate students and researchers in both mathematics and the physical sciences
ISBN,Price9783030533403
Keyword(s)1. APPLIED MATHEMATICS 2. Chemometrics 3. Dynamical Systems and Ergodic Theory 4. DYNAMICS 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. ERGODIC THEORY 9. Math. Applications in Chemistry 10. Mathematical and Computational Engineering 11. Mathematical Methods in Physics 12. MATHEMATICAL PHYSICS 13. PARTIAL DIFFERENTIAL EQUATIONS 14. PHYSICS
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TitleContinuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy : A Liber Amicorum to Professor Godunov
Author(s)Demidenko, Gennadii V;Romenski, Evgeniy;Toro, Eleuterio;Dumbser, Michael
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2020.
DescriptionXIII, 398 p. 39 illus., 25 illus. in color : online resource
Abstract NoteThis book is a liber amicorum to Professor Sergei Konstantinovich Godunov and gathers contributions by renowned scientists in honor of his 90th birthday. The contributions address those fields that Professor Godunov is most famous for: differential and difference equations, partial differential equations, equations of mathematical physics, mathematical modeling, difference schemes, advanced computational methods for hyperbolic equations, computational methods for linear algebra, and mathematical problems in continuum mechanics.
ISBN,Price9783030388706
Keyword(s)1. Characterization and Evaluation of Materials 2. EBOOK 3. EBOOK - SPRINGER 4. MATERIALS SCIENCE 5. Mathematical Methods in Physics 6. MECHANICS 7. Mechanics, Applied 8. PARTIAL DIFFERENTIAL EQUATIONS 9. PHYSICS 10. Solid Mechanics
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TitleNonlinear, Nonlocal and Fractional Turbulence : Alternative Recipes for the Modeling of Turbulence
Author(s)Egolf, Peter William;Hutter, Kolumban
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2020.
DescriptionXXXVII, 445 p. 119 illus., 26 illus. in color : online resource
Abstract NoteExperts of fluid dynamics agree that turbulence is nonlinear and nonlocal. Because of a direct correspondence, nonlocality also implies fractionality. Fractional dynamics is the physics related to fractal (geometrical) systems and is described by fractional calculus. Up-to-present, numerous criticisms of linear and local theories of turbulence have been published. Nonlinearity has established itself quite well, but so far only a very small number of general nonlocal concepts and no concrete nonlocal turbulent flow solutions were available. This book presents the first analytical and numerical solutions of elementary turbulent flow problems, mainly based on a nonlocal closure. Considerations involve anomalous diffusion (L??vy flights), fractal geometry (fractal-??, bi-fractal and multi-fractal model) and fractional dynamics. Examples include a new ???law of the wall??? and a generalization of Kraichnan???s energy-enstrophy spectrum that is in harmony with non-extensive and non-equilibrium thermodynamics (Tsallis thermodynamics) and experiments. Furthermore, the presented theories of turbulence reveal critical and cooperative phenomena in analogy with phase transitions in other physical systems, e.g., binary fluids, para-ferromagnetic materials, etc.; the two phases of turbulence identifying the laminar streaks and coherent vorticity-rich structures. This book is intended, apart from fluids specialists, for researchers in physics, as well as applied and numerical mathematics, who would like to acquire knowledge about alternative approaches involved in the analytical and numerical treatment of turbulence
ISBN,Price9783030260330
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. EBOOK 3. EBOOK - SPRINGER 4. Engineering Fluid Dynamics 5. FLUID MECHANICS 6. Fluid- and Aerodynamics 7. FLUIDS 8. Hydrogeology 9. PARTIAL DIFFERENTIAL EQUATIONS 10. STATISTICAL PHYSICS 11. THERMODYNAMICS
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TitleCanonical Problems in the Theory of Plasmonics : From 3D to 2D Systems
Author(s)Moradi, Afshin
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2020.
DescriptionXVII, 349 p. 137 illus., 134 illus. in color : online resource
Abstract NoteThis book provides a systemic and self-contained guide to the theoretical description of the fundamental properties of plasmonic waves. The field of plasmonics is built on the interaction of electromagnetic radiation and conduction electrons at metallic interfaces or in metallic nanostructures, and so to describe basic plasmonic behavior, boundary-value problems may be formulated and solved using electromagnetic wave theory based on Maxwell???s equations and the electrostatic approximation. In preparation, the book begins with the basics of electromagnetic and electrostatic theories, along with a review of the local and spatial nonlocal plasma model of an electron gas. This is followed by clear and detailed boundary value analysis of both classical three-dimensional and novel two-dimensional plasmonic systems in a range of different geometries. With only general electromagnetic theory as a prerequisite, this resulting volume will be a useful entry point to plasmonic theory for students, as well as a convenient reference work for researchers who want to see how the underlying models can be analysed rigorously.
ISBN,Price9783030438364
Keyword(s)1. CLASSICAL ELECTRODYNAMICS 2. EBOOK 3. EBOOK - SPRINGER 4. ELECTRODYNAMICS 5. LASERS 6. MICROWAVES 7. Microwaves, RF and Optical Engineering 8. NANOTECHNOLOGY 9. OPTICAL ENGINEERING 10. OPTICS 11. Optics, Lasers, Photonics, Optical Devices 12. PARTIAL DIFFERENTIAL EQUATIONS 13. PHOTONICS 14. PLASMA (IONIZED GASES) 15. PLASMA PHYSICS
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10.    
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TitleProgress in Turbulence VIII : Proceedings of the iTi Conference in Turbulence 2018
Author(s)Ramis Orlu (ed.);Alessandro Talamelli (ed.);Joachim Peinke (ed.);Martin Oberlack (ed.)
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2019.
DescriptionXX, 339 p. 306 illus., 214 illus. in color : online resource
Abstract NoteThis volume collects the edited and reviewed contributions presented in the 8th iTi Conference on Turbulence, held in Bertinoro, Italy, in September 2018. In keeping with the spirit of the conference, the book was produced afterwards, so that the authors had the opportunity to incorporate comments and discussions raised during the event. The respective contributions, which address both fundamental and applied aspects of turbulence, have been structured according to the following main topics: I Theory II Wall-bounded flows III Simulations and modelling IV Experiments V Miscellaneous topics VI Wind energy
ISBN,Price9783030221966
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. COMPLEXITY 3. COMPUTATIONAL COMPLEXITY 4. DYNAMICAL SYSTEMS 5. DYNAMICS 6. EBOOK 7. EBOOK - SPRINGER 8. Engineering Fluid Dynamics 9. FLUID MECHANICS 10. Fluid- and Aerodynamics 11. FLUIDS 12. PARTIAL DIFFERENTIAL EQUATIONS 13. STATISTICAL PHYSICS 14. VIBRATION 15. Vibration, Dynamical Systems, Control
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