Numerical investigations of dispersive shocks and spectral analysis for linearized quantum hydrodynamics

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

zbMATH Keywords

compressible flowtraveling wavespectral stabilityBohm potentialEvans function method

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items

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

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