Exponential Asymptotic Stability of Riemann Shocks of Hyperbolic Systems of Balance Laws
From MaRDI portal
Publication:6086717
DOI10.1137/22m1535152arXiv2207.12686OpenAlexW4288368159MaRDI QIDQ6086717
Luis Miguel Rodrigues, Grégory Faye
Publication date: 10 November 2023
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.12686
Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Initial value problems for first-order hyperbolic equations (35L03) First-order hyperbolic equations (35L02)
Cites Work
- 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
- Metastability of solitary roll wave solutions of the St. Venant equations with viscosity
- Geometric theory of semilinear parabolic equations
- Pointwise decay estimates for multidimensional Navier-Stokes diffusion waves
- A Lax shock profile satisfying a sufficient condition of spectral instability
- Spectral stability of inviscid roll waves
- Spectral and dynamical stability of nonlinear waves
- Spectral stability of hydraulic shock profiles
- Stability and instability in scalar balance laws: fronts and periodic waves
- On the time of existence of solutions of the Euler-Korteweg system
- Stability of hydraulic shock profiles
- \(L^{p}-L^{q}\) decay estimates for dissipative linear hyperbolic systems in 1D
- Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto-Sivashinsky equation
- Vortex-like finite-energy asymptotic profiles for isentropic compressible flows
- The existence of multidimensional shock fronts
- Travelling wave solutions for a balance law
- Pointwise Green's function bounds and stability of relaxation shocks
- The stability of multidimensional shock fronts
- Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow
- Large-Time Asymptotic Stability of Riemann Shocks of Scalar Balance Laws
- Stability of Large-Amplitude Shock Profiles of General Relaxation Systems
- Entropy criteria and stability of extreme shocks: a remark on a paper of Leger and Vasseur
- Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit
- Periodic-Coefficient Damping Estimates, and Stability of Large-Amplitude Roll Waves in Inclined Thin Film Flow
- Linear stability of shock profiles for systems of conservation laws with semi-linear relaxation
- Convective-wave solutions of the Richard-Gavrilyuk model for inclined shallow-water flow
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
