This article deals with a survey of the Newtonian fluid dynamics equations with some
historical notes and a discussion related to the solvability of fluid flows problems. On the …

This article deals with a survey of the Newtonian fluid dynamics equations with some
historical notes and a discussion related to the solvability of fluid flows problems. On the …

In the early 1970s, fuzzy systems and fuzzy control theories added a new dimension to
control systems engineering. From its beginnings as mostly heuristic and somewhat ad hoc …

This book unifies all aspects of flight dynamics for the efficient development of aerospace
vehicle simulations. It provides the reader with a complete set of tools to build, program, and …

3.1 Introduction: boundary layers, instability of centered schemes.... 13 3.2 Stationary
convections: introduction, schemes based on the method of characteristics, upwind …

The initial-value problem for perturbations of a flat, constant-strength vortex sheet is linearly
ill posed in the sense of Hadamard, owing to Kelvin-Helmholtz instability. Previous …

The equations governing periodic vortex sheet roll-up from analytic initial data are
desingularized. Linear stability analysis shows that this diminishes the vortex sheet model's …

In this paper we give examples of nonlinearly unstable solutions of Euler equations in the
whole space ℝ2, the half space ℝ× ℝ+, the periodic strip ℝ× 𝕋, the strip ℝ×[− 1, 1], and the …

∂ xi, describing the motion of a perfect incompressible fluid in vacuum:(1.2) divv=∂ kvk= 0
in D where v=(v1,..., vn) and D⊂[0, T]× Rn are to be determined. Here vk= δki vi= vk, and we …

Weakly nonlinear gravity waves of given wavenumber in a horizontally unbounded two-
dimensional domain are expected to undergo slow modulations in space and time. Together …