Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Colombini, Ferruccio (Επιμελητής έκδοσης), Del Santo, Daniele (Επιμελητής έκδοσης), Lannes, David (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Springer INdAM Series, 17
• Θέματα: Mathematics.; Fourier analysis.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Mathematical physics.; Partial Differential Equations.; Fourier Analysis.; Mathematical Physics.; Applications of Mathematics.

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...

Πίνακας περιεχομένων:

• 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.