Periodic-Coefficient Damping Estimates, and Stability of Large-Amplitude Roll Waves in Inclined Thin Film Flow
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Publication:5743836
DOI10.1137/15M1016242zbMath1341.35128arXiv1504.02292OpenAlexW1672649625MaRDI QIDQ5743836
Kevin Zumbrun, Luis Miguel Rodrigues
Publication date: 8 February 2016
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.02292
stabilityviscous shock wavesperiodic wavetrainsisentropic compressible Navier-Stokes equationshypocoercive estimatesKawashima compensators
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Thin fluid films (76A20) Shock waves and blast waves in fluid mechanics (76L05) Quasilinear parabolic equations (35K59)
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Cites Work
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- Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations
- Stability of viscous St. Venant roll waves: from onset to infinite Froude number limit
- Large time asymptotics for partially dissipative hyperbolic systems
- Metastability of solitary roll wave solutions of the St. Venant equations with viscosity
- Stability of large-amplitude viscous shock profiles of hyperbolic-parabolic systems
- Diffusive stability of spatial periodic solutions of the Swift-Hohenberg equation
- Approximate solution of gravity-affected flow from planar sluice gate at high Froude number
- On the well-posedness of a quasi-linear Korteweg-de Vries equation
- Large viscous boundary layers for noncharacteristic nonlinear hyperbolic problems
- Large time behavior of solutions for general quasilinear hyperbolic-parabolic systems of conservation laws
- Nonlinear Stability of Viscous Roll Waves
- Hypocoercivity
- Dynamics of roll waves
- Spectral Stability of Periodic Solutions of Viscous Conservation Laws: Large Wavelength Analysis
- On the Initial Value Problem for the One Dimensional Quasi-Linear Schrödinger Equations
- Whitham's modulation equations and stability of periodic wave solutions of the Korteweg-de Vries-Kuramoto-Sivashinsky Equation
- Navier–Stokes regularization of multidimensional Euler shocks
