61 citations · 151 across the 14 of their papers we have counts for
18 papers · 1 filter
Nonlinear stability and existence of two-dimensional compressible current-vortex sheets
Alessandro Morando, Paolo Secchi, Paola Trebeschi +1
We are concerned with nonlinear stability and existence of two-dimensional current-vortex sheets in ideal compressible magnetohydrodynamics. This is a nonlinear hyperbolic initial-…
Pseudodifferential operators with completely periodic symbols
Gianluca Garello, Alessandro Morando
Motivated by the recent paper of Boggiatto-Garello in J. Pseudo-Differ. Oper. Appl. \textbf{11} (2020), 93-117, where a Gabor operator is regarded as pseudodifferential operator wi…
Microlocal regularity of nonlinear PDE in quasi-homogeneous Fourier Lebesgue spaces
G. Garello, A. Morando
We study the continuity in weighted Fourier Lebesgue spaces for a class of pseudodifferential operators, whose symbol has finite Fourier Lebesgue regularity with respect to and…
Stability of an incompressible plasma-vacuum interface with displacement current in vacuum
Alessandro Morando, Paolo Secchi, Yuri Trakhinin +1
We study the free boundary problem for a plasma-vacuum interface in ideal incompressible magnetohydrodynamics. Unlike the classical statement when the vacuum magnetic field obeys t…
Structural stability of shock waves in 2D compressible elastodynamics
Alessandro Morando, Yuri Trakhinin, Paola Trebeschi
We study the two-dimensional structural stability of shock waves in a compressible isentropic inviscid elastic fluid in the sense of the local-in-time existence and uniqueness of d…
Two-Dimensional Vortex Sheets for the Nonisentropic Euler Equations: Nonlinear Stability
Alessandro Morando, Paola Trebeschi, Tao Wang
We show the short-time existence and nonlinear stability of vortex sheets for the nonisentropic compressible Euler equations in two spatial dimensions, based on the weakly linear s…