LEADER 04256nam 22006735 450 001 9910254298403321 005 20200702024128.0 010 $a3-319-52042-3 024 7 $a10.1007/978-3-319-52042-1 035 $a(CKB)3710000001178410 035 $a(DE-He213)978-3-319-52042-1 035 $a(MiAaPQ)EBC4848060 035 $a(PPN)200513699 035 $a(EXLCZ)993710000001178410 100 $a20170425d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aShocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics$b[electronic resource] /$fedited by Ferruccio Colombini, Daniele Del Santo, David Lannes 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XII, 308 p. 17 illus., 15 illus. in color.) 225 1 $aSpringer INdAM Series,$x2281-518X ;$v17 311 $a3-319-52041-5 320 $aIncludes bibliographical references at the end of each chapters. 327 $a1 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. 330 $aThe book collects the most relevant results from the INdAM Workshop "Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics" held in Rome, September 14-18, 2015. The contributions discuss recent major advances in the study of nonlinear hyperbolic systems, addressing general theoretical issues such as symmetrizability, singularities, low regularity or dispersive perturbations. It also investigates several physical phenomena where such systems are relevant, such as nonlinear optics, shock theory (stability, relaxation) and fluid mechanics (boundary layers, water waves, Euler equations, geophysical flows, etc.). It is a valuable resource for researchers in these fields. . 410 0$aSpringer INdAM Series,$x2281-518X ;$v17 606 $aPartial differential equations 606 $aFourier analysis 606 $aMathematical physics 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aFourier Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12058 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 615 0$aPartial differential equations. 615 0$aFourier analysis. 615 0$aMathematical physics. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 14$aPartial Differential Equations. 615 24$aFourier Analysis. 615 24$aMathematical Physics. 615 24$aApplications of Mathematics. 676 $a512.922 702 $aColombini$b Ferruccio$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aDel Santo$b Daniele$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aLannes$b David$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254298403321 996 $aShocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics$91562231 997 $aUNINA