25 citations · 39 across the 9 of their papers we have counts for
11 papers
Numerical spectral analysis of standing waves in quantum hydrodynamics with viscosity
Delyan Zhelyazov
We study the spectrum of the linearization around standing wave profiles for two quantum hydrodynamics systems with linear and nonlinear viscosity. The essential spectrum for such…
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…
Spectral stability of weak dispersive shock profiles for quantum hydrodynamics with nonlinear viscosity
Raffaele Folino, Ramón G. Plaza, Delyan Zhelyazov
This paper studies the stability of weak dispersive shock profiles for a quantum hydrodynamics system in one space dimension with nonlinear viscosity and dispersive (quantum) effec…
Spectral stability of small-amplitude dispersive shocks in quantum hydrodynamics with viscosity
Raffaele Folino, Ramón G. Plaza, Delyan Zhelyazov
A compressible viscous-dispersive Euler system in one space dimension in the context of quantum hydrodynamics is considered. The dispersive term is due to quantum effects described…
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…
Optimized structure and vibrational properties by error affected potential energy surfaces
Andrea Zen, Delyan Zhelyazov, Leonardo Guidoni
The precise theoretical determination of the geometrical parameters of molecules at the minima of their potential energy surface and of the corresponding vibrational properties are…
Global stability and local bifurcations in a two-fluid model for tokamak plasma
D. Zhelyazov, D. Han-Kwan, J. D. M. Rademacher
We study a two-fluid description of high and low temperature components of the electron velocity distribution of an idealized tokamak plasma. We refine previous results on the lami…