Focusing at a Point and Absorption of Nonlinear Oscillations
From MaRDI portal
Publication:4875641
DOI10.2307/2155210zbMath0857.35087OpenAlexW4233904775MaRDI QIDQ4875641
Jeffrey Rauch, Jean-Luc Joly, Guy Metivier
Publication date: 9 March 1997
Full work available at URL: https://doi.org/10.2307/2155210
Second-order nonlinear hyperbolic equations (35L70) Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for second-order hyperbolic equations (35L15)
Related Items
Unnamed Item ⋮ Geometric optics and instability for semi-classical Schrödinger equations ⋮ Propagation of oscillations to 2D incompressible Euler equations ⋮ Energy densities of semilinear wave equations with oscillatory initial data ⋮ On a Hamiltonian regularization of scalar conservation laws ⋮ Global solutions to a nonlinear wave system arising from cholesteric liquid crystals ⋮ Energy Conservative Solutions to a One‐Dimensional Full Variational Wave System ⋮ Trilinear resonant interactions of semilinear hyperbolic waves ⋮ Weak solutions to a nonlinear variational wave equation and some related problems. ⋮ Focusing of spherical nonlinear pulses in ${\mathbb R}^{1+3}$ ⋮ Global solutions to vortex density equations arising from sup-conductivity ⋮ Focusing of spherical nonlinear pulses in \(\mathbb R^{1+3}\). III: Sub and supercritical cases ⋮ On radially symmetric solutions of the compressible isentropic self-gravitating fluid ⋮ Weak solutions to a nonlinear variational wave equation with general data ⋮ Global energy conservative solutions to a system of variational wave equations ⋮ Oscillatory solution to semilinear dissipative wave equations ⋮ Focusing of spherical nonlinear pulses for nonlinear wave equations ⋮ Convergent difference schemes for the Hunter–Saxton equation ⋮ Comportements Précisés Près D'Une Caustique En Optique Géométrique Non Linéaire ⋮ Global weak solutions to the Novikov equation by viscous approximation ⋮ Global singularity structures of weak solutions to 4- semilinear dispersive wave equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Oscillations and concentrations in weak solutions of the incompressible fluid equations
- Nonlinear superposition and absorption of delta waves in one space dimension
- Multidimensional \(\varepsilon\)-stratified waves and oscillations
- Generic rigorous asymptotic expansions for weakly nonlinear multidimensional oscillatory waves
- Coherent nonlinear waves and the Wiener algebra
- Fast singular limits of hyperbolic PDEs
- Measure-valued solutions to conservation laws
- Compensated Compactness and General Systems of Conservation Laws
- Oscillations semi-linéaires multiphasées compatibles en dimension 2 ou 3 d'espace
- Justification of Multidimensional Single Phase Semilinear Geometric Optics
- Homogenization of linear and nonlinear transport equations
- A General Convergence Result for a Functional Related to the Theory of Homogenization
- Coherent and focusing multidimensional nonlinear geometric optics
- Some non-linear evolution equations