Secular growth estimates for hyperbolic systems.
From MaRDI portal
Publication:1811798
DOI10.1016/S0022-0396(02)00174-2zbMath1052.35119OpenAlexW1992140657MaRDI QIDQ1811798
Publication date: 17 June 2003
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-0396(02)00174-2
Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) First-order nonlinear hyperbolic equations (35L60) A priori estimates in context of PDEs (35B45) Resonance in context of PDEs (35B34)
Related Items
WAVE TRANSMISSION IN DISPERSIVE MEDIA, Validity of the Weakly Nonlinear Solution of the Cauchy Problem for the Boussinesq-Type Equation, Reflection of internal gravity waves in the form of quasi-axisymmetric beams, Diffractive optics with harmonic radiation in 2d nonlinear photonic crystal waveguide, On the rigid-lid approximation for two shallow layers of immiscible fluids with small density contrast, Error bounds for the (KdV)/(KP-I) and (gKdV)/(gKP-I) asymptotic regime for nonlinear Schrödinger type equations, Variable depth KdV equations and generalizations to more nonlinear regimes, HIGH FREQUENCY BEHAVIOR OF THE MAXWELL–BLOCH MODEL WITH RELAXATION: CONVERGENCE TO THE SCHRÖDINGER-RATE SYSTEM, Diffractive wave transmission in dispersive media, On the Korteweg-de Vries approximation for uneven bottoms, Long wave approximations for water waves, Cascade of phases in turbulent flows, DECOUPLED AND UNIDIRECTIONAL ASYMPTOTIC MODELS FOR THE PROPAGATION OF INTERNAL WAVES
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Applications bilinéaires compatibles avec un opérateur hyperbolique. (Bilinear mappings which are compatible with a hyperbolic operator)
- Complex interpolation and Fourier multipliers for the spaces \(B^s_{p,q}\) and \(F^s_{p,q}\) of Besov-Hardy-Sobolev type: The case \(0<p\leq\infty, 0<q\leq\infty\)
- Asymptotic behavior of waves
- Long-wave short-wave resonance for nonlinear geometric optics.
- Generalized Strichartz inequalities for the wave equation
- The short-wave limit for nonlinear, symmetric, hyperbolic systems
- \(L^ p\)-decay rates for homogeneous wave-equations
- The long-wave limit for the water wave problem I. The case of zero surface tension
- WAVES IN FERROMAGNETIC MEDIA
- THE LONG WAVE LIMIT FOR A GENERAL CLASS OF 2DQUASILINEAR HYPERBOLIC PROBLEMS
- Uniform decay estimates and the lorentz invariance of the classical wave equation
- Eestence Globale à Donné de Cauchy Petites pour les modéles discrets de ―équation de Boltzmann
- Global existence for nonlinear wave equations
- The Long Wave Limit for a Boussinesq Equation
- Endpoint Strichartz estimates
- Diffractive nonlinear geometric optics with rectification
- Rigorous derivation of Korteweg-de Vries-type systems from a general class of nonlinear hyperbolic systems