Seminar talk, 14 February 2024

From Geometry of Differential Equations
Revision as of 17:20, 4 February 2024 by Verbovet (talk | contribs) (Created page with "{{Talk | speaker = Valentin Lychagin | title = On flows and filtration in the presence of thermodynamic processes: generalized Navier-Stokes equations | abstract = We plan to present a generalization of the Navier-Stokes equations that describe the flows of homogeneous multicomponent media in the presence of various thermodynamic processes, especially chemical reactions. To achieve this, we discuss the classical thermodynamics of homogeneous multicomponent media and rela...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

Speaker: Valentin Lychagin

Title: On flows and filtration in the presence of thermodynamic processes: generalized Navier-Stokes equations

Abstract:
We plan to present a generalization of the Navier-Stokes equations that describe the flows of homogeneous multicomponent media in the presence of various thermodynamic processes, especially chemical reactions. To achieve this, we discuss the classical thermodynamics of homogeneous multicomponent media and related thermodynamic processes (especially chemical reactions) from the contact geometry perspective.


It makes it possible to work with thermodynamic processes as contact vector fields on a contact manifold and easily include in the standard scheme of continuous mechanics. At the end, we outline methods of solving resulting equations and discuss possible singularities arising in solutions.

Retrieved from "https://gdeq.org/index.php?title=Seminar_talk,_14_February_2024&oldid=7160"