Time-Periodic Linearized Solutions of the Compressible Euler Equations and a Problem of Small Divisors
Time-Periodic Linearized Solutions of the Compressible Euler Equations and a Problem of Small Divisors
It has been unknown since the time of Euler whether or not time-periodic sound wave propagation is physically possible in the compressible Euler equations, due mainly to the ubiquitous formation of shock waves. The existence of such waves would confirm the possibility of dissipation free long distance signaling. Following our …