AbstractWe consider a sequence of approximate solutions to the compressible
Euler system admitting uniform energy bounds and/or satisfying the relevant
field equations modulo an error vanishing in the asymptotic limit. We show that
such a sequence either (i) converges strongly in the energy norm, or (ii) the
limit is not a weak solution of the associated Euler system. This is in sharp
contrast to ... hiện toàn bộ
Paolo Antonelli, Michele Dolce, Pierangelo Marcati
AbstractIn this paper, we study the linear stability properties of perturbations
around the homogeneous Couette flow for a 2D isentropic compressible fluid in
the domain$$\mathbb {T}\times \mathbb {R}$$T×R. In the inviscid case there is a
generic Lyapunov type instability for the density and the irrotational component
of the velocity field. More precisely, we prove that their$$L^2$$L2norm grows
as... hiện toàn bộ