Flexibility and rigidity in steady fluid motion
| Autor: | Peter Constantin, Daniel Ginsberg, Theodore D. Drivas |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Flexibility (anatomy)
Complex system Rotational symmetry FOS: Physical sciences Rigidity (psychology) 01 natural sciences 010305 fluids & plasmas symbols.namesake Mathematics - Analysis of PDEs 0103 physical sciences FOS: Mathematics medicine Cylinder 0101 mathematics Mathematical Physics Physics 010102 general mathematics Mathematical analysis Fluid Dynamics (physics.flu-dyn) Statistical and Nonlinear Physics Physics - Fluid Dynamics medicine.anatomical_structure Homogeneous space Euler's formula symbols Fluid motion Analysis of PDEs (math.AP) |
| Popis: | Flexibility and rigidity properties of steady (time-independent) solutions of the Euler, Boussinesq and Magnetohydrostatic equations are investigated. Specifically, certain Liouville-type theorems are established which show that suitable steady solutions with no stagnation points occupying a two-dimensional periodic channel, or axisymmetric solutions in (hollowed out) cylinder, must have certain structural symmetries. It is additionally shown that such solutions can be deformed to occupy domains which are themselves small perturbations of the base domain. As application of the general scheme, Arnol'd stable solutions are shown to be structurally stable. 35 pages, 3 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|