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…
On the evolution equation of compressible vortex sheets
Alessandro Morando, Paolo Secchi, Paola Trebeschi
We are concerned with supersonic vortex sheets for the Euler equations of compressible inviscid fluids in two space dimensions. For the problem with constant coefficients we derive…
Local existence of MHD contact discontinuities
Alessandro Morando, Yuri Trakhinin, Paola Trebeschi
We prove the local-in-time existence of solutions with a contact discontinuity of the equations of ideal compressible magnetohydrodynamics (MHD) for 2D planar flows provided that t…
Inhomogeneous microlocal propagation of singularities in Fourier Lebesgue spaces
Gianluca Garello, Alessandro Morando
Some results of microlocal continuity for pseudodifferential operators whose non regular symbols belong to weighted Fourier Lebesgue spaces are given. Inhomogeneous local and micro…
Data dependence of approximate current-vortex sheets near the onset of instability
Alessandro Morando, Paolo Secchi, Paola Trebeschi
The paper is concerned with the free boundary problem for 2D current-vortex sheets in ideal incompressible magneto-hydrodynamics near the transition point between the linearized st…
Existence of approximate current-vortex sheets near the onset of instability
Alessandro Morando, Paolo Secchi, Paola Trebeschi
The paper is concerned with the free boundary problem for 2D current-vortex sheets in ideal incompressible magneto-hydrodynamics near the transition point between the linearized st…
Approximate current-vortex sheets near the onset of instability
Alessandro Morando, Paolo Secchi, Paola Trebeschi
The paper is concerned with the free boundary problem for 2D current-vortex sheets in ideal incompressible magneto-hydrodynamics near the transition point between the linearized st…
m-Microlocal elliptic pseudodifferential operators acting on
Gianluca Garello, Alessandro Morando
In the first part of the paper the authors study the minimal and maximal extension of a class of weighted pseudodifferential operators in the Fréchet space . In t…
Microloal Regularity of Besov type for solutions to quasi elliptic non linear partial differential equations
Gianluca Garello, Alessandro Morando
Using a standard linearization technique and previously obtained microlocal properties for pseudodifferential operators with smooth coefficients, the authors state results of micro…
Well-posedness of the linearized problem for contact MHD discontinuities
Alessandro Morando, Yuri Trakhinin, Paola Trebeschi
We study the free boundary problem for contact discontinuities in ideal compressible magnetohydrodynamics (MHD). They are characteristic discontinuities with no flow across the dis…
Characteristic boundary value problems: estimates from H1 to L2
Alessandro Morando, Paolo Secchi, Paola Trebeschi
Motivated by the study of certain non linear free-boundary value problems for hyperbolic systems of partial differential equations arising in Magneto-Hydrodynamics, in this paper w…
Well-posedness of the linearized plasma-vacuum interface problem
Paolo Secchi, Yuri Trakhinin
We consider the free boundary problem for the plasma-vacuum interface in ideal compressible magnetohydrodynamics (MHD). In the plasma region the flow is governed by the usual compr…
A priori estimates for 3D incompressible current-vortex sheets
Jean-Francois Coulombel, Alessandro Morando, Paolo Secchi +1
We consider the free boundary problem for current-vortex sheets in ideal incompressible magneto-hydrodynamics. It is known that current-vortex sheets may be at most weakly (neutral…