Observability and Mathematics: Fluid Mechanics, Solutions of Navier-Stokes Equations, and Modeling

ISBN-13: 9781032008134 / Angielski / Twarda / 2021 / 214 str.

Boris Khots

Opis

The author approaches an old classic problem - the existence of solutions of Navier-Stokes eqs. The main objective is to model and derive of equation of continuity, Euler equation of fluid motion, energy flux equation, Navier-Stokes eqs from the observer point of view and solve classic problem for this interpretation of fluid motion laws.

Spis treści

1. Introduction. 2. Observability and Arithmetic. 3. Observability and Vector Algebra. 4. Observability and Mathematical Analysis (Calculus). 5. Classic Fluid Mechanics Equations and Observability. 6. Observability and Thermodynamical Equations. 7. Observability and Equation of Continuity. 8. Observability and Euler Equation of Motion of the Fluid. 9. Observability and Energy Flux and Moment Flux Equations. 10. Observability and Incompressible Fluids. 11. Observability and Navier-Stokes Equations. 12. Observability and Relativistic Fluid Mechanics.

O autorze

Boris Khots, DrSci, lives in Iowa, USA and is an Independent Researcher. Alma Mater - Moscow State Lomonosov University, Department of Mathematics and Mechanics (mech-math). Creator of Observer’s Mathematics. Participant of more than 30 Mathematical international congresses, conferences. In particular, participated with presentation at International Congresses of Mathematicians on 1998 (Germany), 2002 (China), 2006 (Spain), 2010 (India), 2014 (South Korea). More than 150 mathematical books and papers