Author: Jeffrey Rauch
Publisher: Springer Science & Business Media
ISBN: 1461219728
Category : Science
Languages : en
Pages : 161
Book Description
This volume contains a multiplicity of approaches brought to bear on problems varying from the formation of caustics and the propagation of waves at a boundary, to the examination of viscous boundary layers. It examines the foundations of the theory of high- frequency electromagnetic waves in a dielectric or semiconducting medium. Nor are unifying themes entirely absent from nonlinear analysis: one chapter considers microlocal analysis, including paradifferential operator calculus, on Morrey spaces, and connections with various classes of partial differential equations.
Singularities and Oscillations
Author: Jeffrey Rauch
Publisher: Springer Science & Business Media
ISBN: 1461219728
Category : Science
Languages : en
Pages : 161
Book Description
This volume contains a multiplicity of approaches brought to bear on problems varying from the formation of caustics and the propagation of waves at a boundary, to the examination of viscous boundary layers. It examines the foundations of the theory of high- frequency electromagnetic waves in a dielectric or semiconducting medium. Nor are unifying themes entirely absent from nonlinear analysis: one chapter considers microlocal analysis, including paradifferential operator calculus, on Morrey spaces, and connections with various classes of partial differential equations.
Publisher: Springer Science & Business Media
ISBN: 1461219728
Category : Science
Languages : en
Pages : 161
Book Description
This volume contains a multiplicity of approaches brought to bear on problems varying from the formation of caustics and the propagation of waves at a boundary, to the examination of viscous boundary layers. It examines the foundations of the theory of high- frequency electromagnetic waves in a dielectric or semiconducting medium. Nor are unifying themes entirely absent from nonlinear analysis: one chapter considers microlocal analysis, including paradifferential operator calculus, on Morrey spaces, and connections with various classes of partial differential equations.
Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics
Author: Ferruccio Colombini
Publisher: Springer
ISBN: 3319520423
Category : Mathematics
Languages : en
Pages : 313
Book Description
The book collects the most relevant results from the INdAM Workshop "Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics" held in Rome, September 14-18, 2015. The contributions discuss recent major advances in the study of nonlinear hyperbolic systems, addressing general theoretical issues such as symmetrizability, singularities, low regularity or dispersive perturbations. It also investigates several physical phenomena where such systems are relevant, such as nonlinear optics, shock theory (stability, relaxation) and fluid mechanics (boundary layers, water waves, Euler equations, geophysical flows, etc.). It is a valuable resource for researchers in these fields.
Publisher: Springer
ISBN: 3319520423
Category : Mathematics
Languages : en
Pages : 313
Book Description
The book collects the most relevant results from the INdAM Workshop "Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics" held in Rome, September 14-18, 2015. The contributions discuss recent major advances in the study of nonlinear hyperbolic systems, addressing general theoretical issues such as symmetrizability, singularities, low regularity or dispersive perturbations. It also investigates several physical phenomena where such systems are relevant, such as nonlinear optics, shock theory (stability, relaxation) and fluid mechanics (boundary layers, water waves, Euler equations, geophysical flows, etc.). It is a valuable resource for researchers in these fields.
Mathematical Models with Singularities
Author: Pedro J. Torres
Publisher: Springer
ISBN: 9462391068
Category : Mathematics
Languages : en
Pages : 130
Book Description
The book aims to provide an unifying view of a variety (a 'zoo') of mathematical models with some kind of singular nonlinearity, in the sense that it becomes infinite when the state variable approaches a certain point. Up to 11 different concrete models are analyzed in separate chapters. Each chapter starts with a discussion of the basic model and its physical significance. Then the main results and typical proofs are outlined, followed by open problems. Each chapter is closed by a suitable list of references. The book may serve as a guide for researchers interested in the modelling of real world processes.
Publisher: Springer
ISBN: 9462391068
Category : Mathematics
Languages : en
Pages : 130
Book Description
The book aims to provide an unifying view of a variety (a 'zoo') of mathematical models with some kind of singular nonlinearity, in the sense that it becomes infinite when the state variable approaches a certain point. Up to 11 different concrete models are analyzed in separate chapters. Each chapter starts with a discussion of the basic model and its physical significance. Then the main results and typical proofs are outlined, followed by open problems. Each chapter is closed by a suitable list of references. The book may serve as a guide for researchers interested in the modelling of real world processes.
Singularity Perturbed Systems Relaxations Oscillations
Author: A. K. Orlov
Publisher:
ISBN:
Category :
Languages : en
Pages : 15
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 15
Book Description
The Analysis of Space-Time Singularities
Author: C. J. S. Clarke
Publisher: Cambridge University Press
ISBN: 9780521437967
Category : Science
Languages : en
Pages : 196
Book Description
The different possible singularities are defined and the mathematical methods needed to extend the space-time are described in detail in this book. Results obtained (many appearing here for the first time) show that singularities are associated with a lack of smoothness in the Riemann tensor.
Publisher: Cambridge University Press
ISBN: 9780521437967
Category : Science
Languages : en
Pages : 196
Book Description
The different possible singularities are defined and the mathematical methods needed to extend the space-time are described in detail in this book. Results obtained (many appearing here for the first time) show that singularities are associated with a lack of smoothness in the Riemann tensor.
Oscillatory Singularities in a Saturated Poroelastic Medium
Author: James J. Dlubac
Publisher:
ISBN:
Category : Earthquake engineering
Languages : en
Pages : 114
Book Description
Publisher:
ISBN:
Category : Earthquake engineering
Languages : en
Pages : 114
Book Description
Singularities in Linear Wave Propagation
Author: Lars Garding
Publisher: Springer
ISBN: 3540472169
Category : Mathematics
Languages : en
Pages : 129
Book Description
These lecture notes stemming from a course given at the Nankai Institute for Mathematics, Tianjin, in 1986 center on the construction of parametrices for fundamental solutions of hyperbolic differential and pseudodifferential operators. The greater part collects and organizes known material relating to these constructions. The first chapter about constant coefficient operators concludes with the Herglotz-Petrovsky formula with applications to lacunas. The rest is devoted to non-degenerate operators. The main novelty is a simple construction of a global parametrix of a first-order hyperbolic pseudodifferential operator defined on the product of a manifold and the real line. At the end, its simplest singularities are analyzed in detail using the Petrovsky lacuna edition.
Publisher: Springer
ISBN: 3540472169
Category : Mathematics
Languages : en
Pages : 129
Book Description
These lecture notes stemming from a course given at the Nankai Institute for Mathematics, Tianjin, in 1986 center on the construction of parametrices for fundamental solutions of hyperbolic differential and pseudodifferential operators. The greater part collects and organizes known material relating to these constructions. The first chapter about constant coefficient operators concludes with the Herglotz-Petrovsky formula with applications to lacunas. The rest is devoted to non-degenerate operators. The main novelty is a simple construction of a global parametrix of a first-order hyperbolic pseudodifferential operator defined on the product of a manifold and the real line. At the end, its simplest singularities are analyzed in detail using the Petrovsky lacuna edition.
An Introduction to Waves and Oscillations in the Sun
Author: A. Satya Narayanan
Publisher: Springer Science & Business Media
ISBN: 1461444004
Category : Science
Languages : en
Pages : 229
Book Description
“An Introduction to Waves and Oscillations in the Sun” is intended for students and researchers who work in the area of solar and astrophysics. This book contains an introduction to the Sun, basics of electrodynamics, magneto-hydrodynamics for force-free and current-free fields. It deals with waves in uniform media with relevance to sound waves and Alfven waves, and with waves in non-uniform media like surface waves or waves in a slab and cylindrical geometry. It also touches on instabilities in fluids and observational signatures of oscillations. Finally, there is an introduction to the area of helio-seismology, which deals with the internal structure of the Sun.
Publisher: Springer Science & Business Media
ISBN: 1461444004
Category : Science
Languages : en
Pages : 229
Book Description
“An Introduction to Waves and Oscillations in the Sun” is intended for students and researchers who work in the area of solar and astrophysics. This book contains an introduction to the Sun, basics of electrodynamics, magneto-hydrodynamics for force-free and current-free fields. It deals with waves in uniform media with relevance to sound waves and Alfven waves, and with waves in non-uniform media like surface waves or waves in a slab and cylindrical geometry. It also touches on instabilities in fluids and observational signatures of oscillations. Finally, there is an introduction to the area of helio-seismology, which deals with the internal structure of the Sun.
Singularities of Differentiable Maps
Author: V.I. Arnold
Publisher: Springer Science & Business Media
ISBN: 9780817631871
Category : Mathematics
Languages : en
Pages : 512
Book Description
... there is nothing so enthralling, so grandiose, nothing that stuns or captivates the human soul quite so much as a first course in a science. After the first five or six lectures one already holds the brightest hopes, already sees oneself as a seeker after truth. I too have wholeheartedly pursued science passionately, as one would a beloved woman. I was a slave, and sought no other sun in my life. Day and night I crammed myself, bending my back, ruining myself over my books; I wept when I beheld others exploiting science fot personal gain. But I was not long enthralled. The truth is every science has a beginning, but never an end - they go on for ever like periodic fractions. Zoology, for example, has discovered thirty-five thousand forms of life ... A. P. Chekhov. "On the road" In this book a start is made to the "zoology" of the singularities of differentiable maps. This theory is a young branch of analysis which currently occupies a central place in mathematics; it is the crossroads of paths leading from very abstract corners of mathematics (such as algebraic and differential geometry and topology, Lie groups and algebras, complex manifolds, commutative algebra and the like) to the most applied areas (such as differential equations and dynamical systems, optimal control, the theory of bifurcations and catastrophes, short-wave and saddle-point asymptotics and geometrical and wave optics).
Publisher: Springer Science & Business Media
ISBN: 9780817631871
Category : Mathematics
Languages : en
Pages : 512
Book Description
... there is nothing so enthralling, so grandiose, nothing that stuns or captivates the human soul quite so much as a first course in a science. After the first five or six lectures one already holds the brightest hopes, already sees oneself as a seeker after truth. I too have wholeheartedly pursued science passionately, as one would a beloved woman. I was a slave, and sought no other sun in my life. Day and night I crammed myself, bending my back, ruining myself over my books; I wept when I beheld others exploiting science fot personal gain. But I was not long enthralled. The truth is every science has a beginning, but never an end - they go on for ever like periodic fractions. Zoology, for example, has discovered thirty-five thousand forms of life ... A. P. Chekhov. "On the road" In this book a start is made to the "zoology" of the singularities of differentiable maps. This theory is a young branch of analysis which currently occupies a central place in mathematics; it is the crossroads of paths leading from very abstract corners of mathematics (such as algebraic and differential geometry and topology, Lie groups and algebras, complex manifolds, commutative algebra and the like) to the most applied areas (such as differential equations and dynamical systems, optimal control, the theory of bifurcations and catastrophes, short-wave and saddle-point asymptotics and geometrical and wave optics).
Singular Problems in Shell Theory
Author: Evariste Sanchez-Palencia
Publisher: Springer Science & Business Media
ISBN: 3642138152
Category : Science
Languages : en
Pages : 272
Book Description
This book deals with various aspects in relation with thin shell theory: general geometric formalism of shell theory, analysis of singularities, numerical computing of thin shell problems, mathematical considerations on boundary values problems.
Publisher: Springer Science & Business Media
ISBN: 3642138152
Category : Science
Languages : en
Pages : 272
Book Description
This book deals with various aspects in relation with thin shell theory: general geometric formalism of shell theory, analysis of singularities, numerical computing of thin shell problems, mathematical considerations on boundary values problems.