✍ Scribed by Takayuki Kobayashi; Tosinobu Muramatu
No coin nor oath required. For personal study only.
The local existence, uniqueness and regularity of solutions of the initial‐value problem for non‐stationary Navier–Stokes equations are studied via abstract Besov spaces. The assumptions about Ω the initial data and the external force are improved on by rather simple proofs.
📜 SIMILAR VOLUMES
## Abstract In the present paper we use a time delay ϵ > 0 for an energy conserving approximation of the non‐linear term of the non‐stationary Navier–Stokes equations. We prove that the corresponding initial‐value problem (N~ϵ~) in smoothly bounded domains __G__ ⊆ ℝ^3^ is well‐posed. We study a sem
In the present paper a numerical algorithm is given for solving a standard problem in fluid dynamics, that of inviscid, irrotational, incompressible flow over an arbitrary symmetric profile. The purpose of the paper is to propose an alternative approach to solve certain fluid dynamic flows. This pap