Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Zhelyazov, Delyan"'
Autor:
Zhelyazov, Delyan
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 profiles is stable; we investigate the point spectrum using an Evans f
Externí odkaz:
http://arxiv.org/abs/2405.13917
Autor:
Plaza, Ramón G., Zhelyazov, Delyan
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. First, it is shown that the system is locally well-posed. For that purpo
Externí odkaz:
http://arxiv.org/abs/2309.00175
Publikováno v:
J. Differential Equations, 359 (2023), 330-364
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) effects due to a Bohm potential. It is shown that, if the shock amplitude i
Externí odkaz:
http://arxiv.org/abs/2210.16132
Publikováno v:
Commun. Pure Appl. Anal., 21 (2022), 4019-4040
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 through the Bohm potential and the viscosity term is of linear type.
Externí odkaz:
http://arxiv.org/abs/2203.04475
Autor:
Zhelyazov, Delyan
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 former without restrictions on the viscosity and dispersion parameters, th
Externí odkaz:
http://arxiv.org/abs/2202.07573
Autor:
Lattanzio, Corrado, Zhelyazov, Delyan
In this paper we investigate spectral stability of traveling wave solutions to 1-$D$ quantum hydrodynamics system with nonlinear viscosity in the $(\rho,u)$, that is, density and velocity, variables. We derive a sufficient condition for the stability
Externí odkaz:
http://arxiv.org/abs/2103.10386
Autor:
Lattanzio, Corrado, Zhelyazov, Delyan
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 viscosity in the context of quantum hydrodynamic models for superfluidity. T
Externí odkaz:
http://arxiv.org/abs/2004.07222
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 dissipation--dispersion terms. The dispersive term is originated by the quantum
Externí odkaz:
http://arxiv.org/abs/1904.09885
Publikováno v:
In Journal of Differential Equations 25 June 2023 359:330-364
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 originated by the quantum effects described through the Bohm potential; moreove
Externí odkaz:
http://arxiv.org/abs/1812.10279