Diffractive nonlinear geometric optics with rectification
From MaRDI portal
Publication:4254036
DOI10.1512/iumj.1998.47.1526zbMath0928.35093OpenAlexW2052817339MaRDI QIDQ4254036
Jeffrey Rauch, Jean-Luc Joly, Guy Metivier
Publication date: 28 June 1999
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/140b74f594df2c27a2786e22331ec22b1553b027
First-order nonlinear hyperbolic equations (35L60) Asymptotic expansions of solutions to PDEs (35C20) Geometric optics (78A05)
Related Items
Partially strong transparency conditions and a singular localization method in geometric optics ⋮ Resonant reflection of multidimensional semilinear oscillations ⋮ Derivation of the Zakharov equations ⋮ Approximation of High-Frequency Wave Propagation in Dispersive Media ⋮ Higher-order resonances and instability of high-frequency WKB solutions ⋮ Nonlinear Dynamics of a System of Particle-Like Wavepackets ⋮ On the condition of tetrahedral polyconvexity, arising from calculus of variations ⋮ Validity of nonlinear geometric optics with times growing logarithmically ⋮ Wavepacket preservation under nonlinear evolution ⋮ Diffractive wave transmission in dispersive media ⋮ Intuitive and counterintuitive energy flux ⋮ DIFFRACTION OF BLOCH WAVE PACKETS FOR MAXWELL'S EQUATIONS ⋮ Diffractive geometric optics for Bloch wave packets ⋮ On the Korteweg-de Vries approximation for uneven bottoms ⋮ Justification of a nonlinear Schrödinger model for laser beams in photopolymers ⋮ Secular growth estimates for hyperbolic systems. ⋮ Multifrequency NLS Scaling for a Model Equation of Gravity-Capillary Waves ⋮ Transparent nonlinear geometric optics and Maxwell-Bloch equations. ⋮ Long-wave short-wave resonance for nonlinear geometric optics. ⋮ Boundary layers and glancing blow-up in nonlinear geometric optics ⋮ Boundedness of planar jump discontinuities for homogeneous hyperbolic systems ⋮ WAVES IN FERROMAGNETIC MEDIA ⋮ THE LONG WAVE LIMIT FOR A GENERAL CLASS OF 2DQUASILINEAR HYPERBOLIC PROBLEMS ⋮ Rigorous derivation of Korteweg-de Vries-type systems from a general class of nonlinear hyperbolic systems