Home > Search Results: keywords:"renormalized solutions|entropy equality|Navier|Stokes|Fourier"
Search:
 
Search Tips :: Simple Search
Search collections:
Sort by: Display results: Output format:
National Repository of Grey Literature 1 records found  Search took 0.01 seconds. 
Stability of stationary flows of non-Newtonian heat conducting fluid in 2D
 Wintrová, Lucie ; Kaplický, Petr (advisor) ; Pokorný, Milan (referee)
This thesis aims to study the Navier-Stokes-Fourier problem with the entropy equa- tion. In particular, we want to define the notion of a solution and prove its existence. We approach this problem by modifying techniques used in several papers studying the generalized NSF system and the entropy equality and we want to conclude similar results. We are treating the two-dimensional case as opposed to the more frequent 3D case, hence we were able to relax conditions on the initial data. Firstly, we formulate the definition of a weak solution and impose sufficient conditions to prove its existence. In particular, we will require a bound p ≥ 2 for the power-law index of the Cauchy stress tensor. Next, we show that there exists a solution to Navier- Stokes-Fourier system (u, ϑ) fulfilling our definition. Lastly, we show that this solution additionally fulfills the entropy equality for η = log ϑ. 1
Detailed record

Interested in being notified about new results for this query?
Subscribe to the RSS feed.
Digital Repository :: Search :: Submit :: Personalize :: Help
Powered by Invenio v1.1.2
Maintained by admin.invenio@techlib.cz
This site is also available in the following languages:
Česky  English