1. A type D breakdown of the Navier Stokes equation in d = 3 spatial dimensions
- Author
-
Geurdes, Han
- Subjects
bepress|Physical Sciences and Mathematics ,bepress|Physical Sciences and Mathematics|Applied Mathematics|Partial Differential Equations ,0208 environmental biotechnology ,Mathematics::Analysis of PDEs ,bepress|Physical Sciences and Mathematics|Applied Mathematics ,FOS: Physical sciences ,02 engineering and technology ,Type (model theory) ,Navier Stokes equation and Euler equation ,01 natural sciences ,type D breakdown ,clay institute problem ,Physics::Fluid Dynamics ,EarthArXiv|Physical Sciences and Mathematics|Applied Mathematics|Partial Differential Equations ,symbols.namesake ,Physics - General Physics ,Physical Sciences and Mathematics ,FOS: Mathematics ,Navier stokes ,0101 mathematics ,Physics ,Applied Mathematics ,lcsh:Mathematics ,Mathematical analysis ,Resolution (electron density) ,Partial Differential Equations ,lcsh:QA1-939 ,EarthArXiv|Physical Sciences and Mathematics ,020801 environmental engineering ,Euler equations ,010101 applied mathematics ,General Physics (physics.gen-ph) ,General Energy ,symbols ,EarthArXiv|Physical Sciences and Mathematics|Applied Mathematics ,Element (category theory) - Abstract
In this paper a type D breakdown of the Navier Stokes (NS) in d=3 is demonstrated. The element of the breakdown also occurs in the Euler equation. We consider the fact that in d=2 Ladyzhenskaya found a generalized type B solution. The discussion revolves around the notion, also found in quantum spin theory, that in the behavior of a system can be quite different from the behavior in d=2 dimensions. Concerning applications, our resolution of the problem implies that e.g. hydrology problems formulated as a NS equation can only be solved in computational approximation., Cogent Mathematics 2017
- Published
- 2017