Spectral stability of weak dispersive shock profiles for quantum hydrodynamics with nonlinear viscosity
From MaRDI portal
Publication:2699820
DOI10.1016/j.jde.2023.02.038OpenAlexW4322632217MaRDI QIDQ2699820
Raffaele Folino, Delyan Zhelyazov, Ramón G. Plaza
Publication date: 19 April 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.16132
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Estimates of eigenvalues in context of PDEs (35P15) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)
Related Items (1)
Cites Work
- Spectral stability of small-amplitude viscous shock waves in several space dimensions
- Asymptotic stability of monotone increasing traveling wave solutions for viscous compressible fluid equations with capillarity term
- Stability of isentropic Navier-Stokes shocks in the high-Mach number limit
- On the shock wave spectrum for isentropic gas dynamics with capillarity
- Spectral stability of ideal-gas shock layers
- On the thermomechanics of interstitial working
- Nonlinear asymptotic stability of viscous shock profiles for conservation laws
- Dynamic phase transitions in a van der Waals fluid
- On the stability of waves of nonlinear parabolic systems
- Nonlinear stability of viscous shock waves
- Pointwise Green function bounds for shock profiles of systems with real viscosity
- Pointwise estimates and stability for dispersive-diffusive shock waves
- Spectral stability of small-amplitude shock profiles for dissipative symmetric hyperbolic-parabolic systems
- Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations
- Spectral stability of small shock waves
- An Evans function approach to spectral stability of small-amplitude shock profiles
- Stability of large-amplitude viscous shock profiles of hyperbolic-parabolic systems
- Spectral and dynamical stability of nonlinear waves
- Spectral stability of small-amplitude dispersive shocks in quantum hydrodynamics with viscosity
- Traveling waves for quantum hydrodynamics with nonlinear viscosity
- Dispersive shocks in quantum hydrodynamics with viscosity
- Global classical solutions to the one-dimensional compressible fluid models of Korteweg type with large initial data
- Interactions of dispersive shock waves
- Physical and numerical viscosity for quantum hydrodynamics
- Asymptotic stability of traveling waves for viscous conservation laws with dispersion
- Numerical investigations of dispersive shocks and spectral analysis for linearized quantum hydrodynamics
- Hyperbolic systems of conservation laws II
- Spectral Stability of Weak Relaxation Shock Profiles
- Nonlinear stability of shock waves for viscous conservation laws
- On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas
- Pointwise semigroup methods and stability of viscous shock waves
- Pointwise Green's function approach to stability for scalar conservation laws
- The Quantum Hydrodynamic Model for Semiconductor Devices
- Pointwise convergence to shock waves for viscous conservation laws
- Stability of Jin-Xin relaxation shocks
- Dynamical Stability of Phase Transitions in thep-System with Viscosity-Capillarity
- Stability of small-amplitude shock profiles of symmetric hyperbolic-parabolic systems
- Spectral analysis of dispersive shocks for quantum hydrodynamics with nonlinear viscosity
- Theory of the Superfluidity of Helium II
- A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
- Hyperbolic Conservation Laws in Continuum Physics
- Traveling wave solutions for a quantum hydrodynamic model
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Spectral stability of weak dispersive shock profiles for quantum hydrodynamics with nonlinear viscosity
