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Well-posedness and decay structure of a quantum hydrodynamics system with Bohm potential and linear viscosity
Ramón G. Plaza, Delyan Zhelyazov
In this paper, a compressible viscous-dispersive Euler system in one space dimension in the context of quantum hydrodynamics is considered. The purpose of this study is twofold. Fi…
Existence of standing and traveling waves in quantum hydrodynamics with viscosity
Delyan Zhelyazov
We prove existence of standing waves for two quantum hydrodynamics systems with linear and nonlinear viscosity. Moreover, global existence of traveling waves is proved for the form…
Spectral analysis of dispersive shocks for quantum hydrodynamics with nonlinear viscosity
Corrado Lattanzio, Delyan Zhelyazov
In this paper we investigate spectral stability of traveling wave solutions to 1- quantum hydrodynamics system with nonlinear viscosity in the , that is, density and velo…
Traveling waves for quantum hydrodynamics with nonlinear viscosity
Corrado Lattanzio, Delyan Zhelyazov
In this paper we study existence of traveling waves for 1-D compressible Euler system with dispersion (which models quantum effects through the Bohm potential) and nonlinear viscos…
Dispersive shocks and spectral analysis for linearized Quantum Hydrodynamics
Corrado Lattanzio, Pierangelo Marcati, Delyan Zhelyazov
In this paper we perform the analysis of spectral properties of the linearized system around constant states and dispersive shock for a 1-D compressible Euler system with dissipati…
Dispersive shocks in Quantum Hydrodynamics with viscosity
Corrado Lattanzio, Pierangelo Marcati, Delyan Zhelyazov
In this paper we study existence and stability of shock profiles for a 1-D compressible Euler system in the context of Quantum Hydrodynamic models. The dispersive term is originate…