Dispersive shocks in quantum hydrodynamics with viscosity

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

zbMATH Keywords

traveling wavesquantum hydrodynamicsspectral stabilitydispersive-diffusive shock waves

Mathematics Subject Classification ID

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

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