David M. Bradley, A Pair of Difference Differential Equations of Euler-Cauchy Type, Transactions of the American Mathematical Society, Vol. 355, No. 12 (Dec., 2003), pp. 4985-5002 ...

Within these frameworks, Cauchy problems typically involve extending the known values of a solution and its derivatives from a portion of the boundary into an inaccessible or imperfect region.

We derive a detailed, pointwise description of the asymptotic behavior of solutions of the Cauchy problem for the Navier-Stokes equations of compressible flow in several space dimensions, with initial ...