Geometric optics expansions with amplification for hyperbolic boundary value problems: linear problems
From MaRDI portal
Publication:624781
DOI10.5802/aif.2581zbMath1218.35137OpenAlexW2294153152MaRDI QIDQ624781
Olivier Guès, Jean-François Coulombel
Publication date: 9 February 2011
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/116330
hyperbolic systemsboundary value problemsgeometric opticsspeed of propagationhigh frequency expansionsoptical loss of regularitystrong stability condition
Stability in context of PDEs (35B35) Initial-boundary value problems for first-order hyperbolic systems (35L50) Geometric optics (78A05)
Related Items (18)
Weakly Nonlinear Multiphase Geometric Optics for Hyperbolic Quasilinear Boundary Value Problems: Construction of a Leading Profile ⋮ Weak well-posedness of hyperbolic boundary value problems in a strip: when instabilities do not reflect the geometry ⋮ Transverse instability of high frequency weakly stable quasilinear boundary value problems ⋮ Geometric optics expansion for weakly well-posed hyperbolic boundary value problem: The glancing degeneracy ⋮ Geometric Optics Expansions for Hyperbolic Corner Problems II: From Weak Stability to Violent Instability ⋮ Regularity of weakly well posed non characteristic boundary value problems ⋮ Regularity of weakly well-posed characteristic boundary value problems ⋮ Nonlinear geometric optics for reflecting uniformly stable pulses ⋮ Weakly stable hyperbolic boundary problems with large oscillatory coefficients: Simple cascades ⋮ Finite speed of propagation for mixed problems in the \(WR\) class ⋮ REGULARITY OF WEAKLY WELL POSED HYPERBOLIC MIXED PROBLEMS WITH CHARACTERISTIC BOUNDARY ⋮ Hyperbolic boundary problems with large oscillatory coefficients: multiple amplification ⋮ Amplification of pulses in nonlinear geometric optics ⋮ On the amplitude equations for weakly nonlinear surface waves ⋮ Resonant Leading Order Geometric Optics Expansions for Quasilinear Hyperbolic Fixed and Free Boundary Problems ⋮ Resonant Leading Term Geometric Optics Expansions with Boundary Layers for Quasilinear Hyperbolic Boundary Problems ⋮ Singular pseudodifferential calculus for wavetrains and pulses ⋮ WKB expansions for weakly well-posed hyperbolic boundary value problems in a strip: Time depending loss of derivatives
Cites Work
- Asymptotic solutions of oscillatory initial value problems
- Nonlinear development of instabilities in supersonic vortex sheets. I. The basic kink modes
- Existence pour un problème de l'élastodynamique Neumann non linéaire en dimension 2. (Existence for an elasto-dynamic nonlinear Neumann problem in two dimensions)
- On structures of certain \(L^2\)-well-posed mixed problems for hyperbolic systems of first order
- Singular pseudodifferential operators, symmetrizers, and oscillatory multidimensional shocks
- Mixed problem for the wave equation with an oblique derivative boundary condition
- Caractérisation des problèmes mixtes hyperboliques bien posés. (Characterization of well posed hyperbolic mixed problems)
- Well-posedness of hyperbolic initial boundary value problems
- A Theory for Spontaneous Mach Stem Formation in Reacting Shock Fronts, I. The Basic Perturbation Analysis
- Nonlinear geomettic optics for hyperbolic boundary problems
- Boundary layers and glancing blow-up in nonlinear geometric optics
- The Block Structure Condition for Symmetric Hyperbolic Systems
- Generic types and transitions in hyperbolic initial–boundary-value problems
- Coherent and focusing multidimensional nonlinear geometric optics
- WAVE TRANSMISSION IN DISPERSIVE MEDIA
- Initial boundary value problems for hyperbolic systems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Geometric optics expansions with amplification for hyperbolic boundary value problems: linear problems
