Note that there are two parameters α and λ in it, which is different from the usual eigenvalue problems. As the loss of strong maximum principle for our problem, we can only get the existence of non-trivial solutions, not positive solutions, in mathematica solutions to problem set 3.pdf article.
Check if you have access through your login credentials or your institution. 2012 Wuhan Institute of Physics and Mathematics. Published by Elsevier Ltd All rights reserved. Stokes equations are used in many practical applications. However, theoretical understanding of the solutions to these equations is incomplete. Stokes have never been proven.
The jet exhibits a wide range of length scales, an important characteristic of turbulent flows. Note that this is a vector equation, i. For this flow of a homogeneous medium, density and viscosity are constants. Stokes existence and smoothness problem. Each case will be treated separately.