5 papers · 1 filter
Anisotropic regularity of linearized compressible vortex sheets
Paolo Secchi
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, in [10]…
Stability of Multidimensional Thermoelastic Contact Discontinuities
Gui-Qiang G. Chen, Paolo Secchi, Tao Wang
We study the system of nonisentropic thermoelasticity describing the motion of thermoelastic nonconductors of heat in two and three spatial dimensions, where the frame-indifferent…
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…
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…
Weak stability of the plasma-vacuum interface problem
Davide Catania, Marcello D'Abbicco, Paolo Secchi
We consider the free boundary problem for the two-dimensional plasma-vacuum interface in ideal compressible magnetohydrodynamics (MHD). In the plasma region, the flow is governed b…