Dispersive shocks in quantum hydrodynamics with viscosity
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Publication:2222735
DOI10.1016/j.physd.2019.132222zbMath1453.76233arXiv1812.10279OpenAlexW2979916467WikidataQ127082364 ScholiaQ127082364MaRDI QIDQ2222735
Delyan Zhelyazov, Pierangelo Marcati, Corrado Lattanzia
Publication date: 27 January 2021
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.10279
Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Traveling wave solutions (35C07)
Related Items (8)
Numerical investigations of dispersive shocks and spectral analysis for linearized quantum hydrodynamics ⋮ Existence of standing and traveling waves in quantum hydrodynamics with viscosity ⋮ Dispersive shocks in diffusive-dispersive approximations of elasticity and quantum-hydrodynamics ⋮ Traveling waves for quantum hydrodynamics with nonlinear viscosity ⋮ Spectral stability of weak dispersive shock profiles for quantum hydrodynamics with nonlinear viscosity ⋮ Global existence of finite energy weak solutions to the quantum Navier-Stokes equations with non-trivial far-field behavior ⋮ Spectral stability of small-amplitude dispersive shocks in quantum hydrodynamics with viscosity ⋮ Spectral analysis of dispersive shocks for quantum hydrodynamics with nonlinear viscosity
Cites Work
- Quantum hydrodynamics with nonlinear interactions
- Low Mach number limit for the quantum hydrodynamics system
- Relative energy for the Korteweg theory and related Hamiltonian flows in gas dynamics
- Stationary solution for transient quantum hydrodynamics with Bohmenian-type boundary conditions
- The quantum hydrodynamics system in two space dimensions
- On the finite energy weak solutions to a system in quantum fluid dynamics
- Shock waves in dispersive Eulerian fluids
- On the shock wave spectrum for isentropic gas dynamics with capillarity
- Dichotomies in stability theory
- Elements of applied bifurcation theory.
- Perturbation theory for linear operators.
- Steady states and interface transmission conditions for heterogeneous quantum-classical 1-D hydrodynamic model of semiconductor devices
- Global existence of finite energy weak solutions of quantum Navier-Stokes equations
- ADMISSIBILITY OF VISCOUS-DISPERSIVE SYSTEMS
- Well/Ill Posedness for the Euler-Korteweg-Poisson System and Related Problems
- Quasi-Neutral Limit, Dispersion, and Oscillations for Korteweg-Type Fluids
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