38 citations · 168 across the 29 of their papers we have counts for
4 papers · 2 filters
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…
Orbital instability of periodic waves for scalar viscous balance laws
Enrique Álvarez, Jaime Angulo Pava, Ramón G. Plaza
The purpose of this paper is to prove that, for a large class of nonlinear evolution equations known as scalar viscous balance laws, the spectral (linear) instability condition of…
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…
Dissipative structure of one-dimensional isothermal compressible fluids of Korteweg type
Ramón G. Plaza, José Manuel Valdovinos
This paper studies the dissipative structure of the system of equations that describes the motion of a compressible, isothermal, viscous-capillar fluid of Korteweg type in one spac…