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Shocks, singularities and oscillations in nonlinear optics and fluid mechanics

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Shocks, singularities and oscillations in nonlinear optics and fluid mechanics/ edited by Ferruccio Colombini, Daniele Del Santo, David Lannes.
other author:	Colombini, Ferruccio.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xii, 308 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Exponential functions. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-52042-1
ISBN:	9783319520421

Shocks, singularities and oscillations in nonlinear optics and fluid mechanics
Shocks, singularities and oscillations in nonlinear optics and fluid mechanics[electronic resource] /edited by Ferruccio Colombini, Daniele Del Santo, David Lannes. - Cham :Springer International Publishing :2017. - xii, 308 p. :ill. (some col.), digital ;24 cm. - Springer INdAM series,v.172281-518X ;. - Springer INdAM series ;v.6..

1 Amplitude equations for weakly nonlinear surface waves in variational problems -- 2 Global weak solutions of PDEs for compressible media: A compactness criterion to cover new physical situations -- 3 Second microlocalization and stabilization of damped wave equations on tori -- 4 A few remarks on hyperbolic systems with Zygmund in time coefficients -- 5 Well posedness of linearized Taylor equations in magnetohydrodynamics -- 6 Strictly dissipative non uniqueness with corners -- 7 On the solvability of certain degenerate partial differential operators -- 8 Location and Weyl formula for the eigenvalues of some non self-adjoint operators -- 9 A microscopic point of view on singularities in fluid models -- 10 Geometric optics for Rayleigh pulses in nonlinear elasticity -- 11 Recent results on stability of planar detonations.

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.

ISBN: 9783319520421

Standard No.: 10.1007/978-3-319-52042-1doiSubjects--Topical Terms:

1059999
Exponential functions.

LC Class. No.: QA342

Dewey Class. No.: 515.3535

Shocks, singularities and oscillations in nonlinear optics and fluid mechanics
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245 0 0 $a Shocks, singularities and oscillations in nonlinear optics and fluid mechanics $h [electronic resource] / $c edited by Ferruccio Colombini, Daniele Del Santo, David Lannes.
260 $a Cham : $c 2017. $b Springer International Publishing : $b Imprint: Springer,
300 $a xii, 308 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Springer INdAM series, $x 2281-518X ; $v v.17
505 0 $a 1 Amplitude equations for weakly nonlinear surface waves in variational problems -- 2 Global weak solutions of PDEs for compressible media: A compactness criterion to cover new physical situations -- 3 Second microlocalization and stabilization of damped wave equations on tori -- 4 A few remarks on hyperbolic systems with Zygmund in time coefficients -- 5 Well posedness of linearized Taylor equations in magnetohydrodynamics -- 6 Strictly dissipative non uniqueness with corners -- 7 On the solvability of certain degenerate partial differential operators -- 8 Location and Weyl formula for the eigenvalues of some non self-adjoint operators -- 9 A microscopic point of view on singularities in fluid models -- 10 Geometric optics for Rayleigh pulses in nonlinear elasticity -- 11 Recent results on stability of planar detonations.
520 $a 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.
650 0 $a Exponential functions. $3 1059999
650 0 $a Nonlinear systems. $3 569004
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Partial Differential Equations. $3 671119
650 2 4 $a Fourier Analysis. $3 672627
650 2 4 $a Mathematical Physics. $3 786661
650 2 4 $a Applications of Mathematics. $3 669175
700 1 $a Colombini, Ferruccio. $3 1075453
700 1 $a Del Santo, Daniele. $3 793546
700 1 $a Lannes, David. $3 1141702
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Springer INdAM series ; $v v.6. $3 1025170
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-52042-1
950 $a Mathematics and Statistics (Springer-11649)