Double asymptotic expansion of the resolving operator of the cauchy problem for the line-arized system of gas dynamics
Anna Ivanovna Allilueva, А. И. Шафаревич · Доклады Академии наук · 2019
We obtain double asymptotic expansion (with respect to smoothness and small viscosity) of the resolving operator of the Cauchy problem for the linearized system of gas dynamics. We derive estimates for the summands and for the residual in the Sobolev scale.We describe explicitly hydrodynamic and acoustic modes.