- Tytuł:
- Matrix logarithmic wave equation and multi-channel systems in fluid mechanics
- Autorzy:
- Zloshchastiev, Konstantin G.
- Powiązania:
- https://bibliotekanauki.pl/articles/280970.pdf
- Data publikacji:
- 2019
- Wydawca:
- Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
- Tematy:
-
logarithmic BEC
quantum liquid
stability
collective oscillations - Opis:
- We formulate the mapping between a large class of nonlinear wave equations and flow equations for a barotropic fluid with internal surface tension and capillary effects. Motivated by statistical mechanics and multi-channel physics arguments, we focus on wave equations with logarithmic nonlinearity, and further generalize them to matrix equations. We map the resulting equation to flow equations of multi-channel or multi-component Korteweg-type materials. For some special cases, we analytically derive Gaussian-type matrix solutions and study them in the context of fluid mechanics.
- Źródło:
-
Journal of Theoretical and Applied Mechanics; 2019, 57, 4; 843-852
1429-2955 - Pojawia się w:
- Journal of Theoretical and Applied Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł