5 papers
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…