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Shocks, singularities and oscillatio...

Colombini, Ferruccio.

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Shocks, singularities and oscillations in nonlinear optics and fluid mechanics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Shocks, singularities and oscillations in nonlinear optics and fluid mechanics/ edited by Ferruccio Colombini, Daniele Del Santo, David Lannes.
其他作者:	Colombini, Ferruccio.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xii, 308 p. :ill. (some col.), digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Exponential functions. -
電子資源:	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.17..

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:

726521
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.
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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 726521
650 0 $a Nonlinear systems. $3 686475
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Fourier Analysis. $3 891095
650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Applications of Mathematics. $3 890893
700 1 $a Colombini, Ferruccio. $3 3236682
700 1 $a Del Santo, Daniele. $3 812373
700 1 $a Lannes, David. $3 3236683
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Springer INdAM series ; $v v.17. $3 3236684
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-52042-1
950 $a Mathematics and Statistics (Springer-11649)