Spectral Stability of Periodic Solutions of Viscous Conservation Laws: Large Wavelength Analysis
From MaRDI portal
Publication:4678923
DOI10.1081/PDE-200044492zbMath1131.35046MaRDI QIDQ4678923
Publication date: 23 May 2005
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Hyperbolic conservation laws (35L65)
Related Items
On the modulation equations and stability of periodic generalized Korteweg-de Vries waves via Bloch decompositions, Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations, Large-amplitude modulation of periodic traveling waves, Validity of Whitham's modulation equations for dissipative systems with a conservation law: Phase dynamics in a generalized Ginzburg-Landau system, Rigorous justification of the Whitham modulation equations for equations of Whitham type, Unstable Stokes waves, Spectral validation of the Whitham equations for periodic waves of lattice dynamical systems, Stability of periodic Kuramoto-Sivashinsky waves, Spectral instability of small-amplitude periodic waves of the electronic Euler–Poisson system, Nonlocalized modulation of periodic reaction diffusion waves: nonlinear stability, Nonlocalized modulation of periodic reaction diffusion waves: the Whitham equation, Turing patterns in parabolic systems of conservation laws and numerically observed stability of periodic waves, Linear asymptotic stability and modulation behavior near periodic waves of the Korteweg-de Vries equation, Pointwise stability estimates for periodic traveling wave solutions of systems of viscous conservation laws, Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto-Sivashinsky equation, Slow modulations of periodic waves in Hamiltonian PDEs, with application to capillary fluids, Spectral and modulational stability of periodic wavetrains for the nonlinear Klein-Gordon equation, Spectral stability of inviscid roll waves, Stability of viscous St. Venant roll waves: from onset to infinite Froude number limit, Modulational Instability and Variational Structure, Rigorous Justification of the Whitham Modulation Equations for the Generalized Korteweg-de Vries Equation, Modulational Instability in the Whitham Equation for Water Waves, Periodic-Coefficient Damping Estimates, and Stability of Large-Amplitude Roll Waves in Inclined Thin Film Flow, Low-frequency stability analysis of periodic traveling-wave solutions of viscous conservation laws in several dimensions, Stability and asymptotic behavior of periodic traveling wave solutions of viscous conservation laws in several dimensions, Nonlinear stability of periodic traveling wave solutions of systems of viscous conservation laws in the generic case, Linear Stability of Viscous Roll Waves, Stability of traveling wave solutions of nonlinear dispersive equations of NLS type, The modulational instability for a generalized Korteweg-de Vries equation, Modulational Instability of Viscous Fluid Conduit Periodic Waves, Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit, About plane periodic waves of the nonlinear Schrödinger equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability of periodic solutions of conservation laws with viscosity: analysis of the Evans function
- Stability of periodic solutions of conservation laws with viscosity: Pointwise bounds on the Green function
- Entropy of the liquid-vapour mixture of a thermo-capillary fluid
- Pointwise Green's function bounds for multidimensional scalar viscous shock fronts
- Alternate Evans Functions and Viscous Shock Waves
- The hyperbolic nature of the zero dispersion Kdv limit
- Spectral analysis of long wavelength periodic waves and applications.
- Viscous and inviscid stability of multidimensional planar shock fronts
- Boundary layer stability in real vanishing viscosity limit
