Numerical investigations of dispersive shocks and spectral analysis for linearized quantum hydrodynamics
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Publication:2657309
DOI10.1016/j.amc.2020.125450zbMath1465.76117OpenAlexW3038004376MaRDI QIDQ2657309
Delyan Zhelyazov, Pierangelo Marcati, Corrado Lattanzia
Publication date: 12 March 2021
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2020.125450
Shock waves and blast waves in fluid mechanics (76L05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)
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Existence of standing and traveling waves in quantum hydrodynamics with viscosity, Traveling waves for quantum hydrodynamics with nonlinear viscosity, Spectral stability of weak dispersive shock profiles for quantum hydrodynamics with nonlinear viscosity, 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
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- 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
- Steady states and interface transmission conditions for heterogeneous quantum-classical 1-D hydrodynamic model of semiconductor devices
- Spectral and dynamical stability of nonlinear waves
- Dispersive shocks in quantum hydrodynamics with viscosity
- Global existence of finite energy weak solutions of quantum Navier-Stokes equations
- Well/Ill Posedness for the Euler-Korteweg-Poisson System and Related Problems
- A local greedy algorithm and higher-order extensions for global numerical continuation of analytically varying subspaces
- Quasi-Neutral Limit, Dispersion, and Oscillations for Korteweg-Type Fluids
