National Repository of Grey Literature 9 records found  Search took 0.01 seconds. 
Motion of fluids in the moving domain
Nečasová, Šárka
It is a survay paper where the problem of the existence of weak solutions of compressible barotropic solutions in a moving bounded domain is studied.
Mathematical analysis of fluids in motion
Michálek, Martin ; Feireisl, Eduard (advisor) ; Wiedemann, Emil (referee) ; Swierczewska - Gwiazda, Agnieszka (referee)
The aim of this work is to provide new results of global existence for dif- ferent evolution equations of fluid mechanics. We are in general interested in finding weak solutions without restrictions on the size of initial data. The proofs of existence are based on several different approaches including en- ergy methods, convergence analysis of finite numerical methods and convex integration. All these techniques significantly exploit results of mathematical analysis and other branches of mathematics. 1
Mathematical analysis of fluids in motion
Michálek, Martin ; Feireisl, Eduard (advisor) ; Wiedemann, Emil (referee) ; Swierczewska - Gwiazda, Agnieszka (referee)
The aim of this work is to provide new results of global existence for dif- ferent evolution equations of fluid mechanics. We are in general interested in finding weak solutions without restrictions on the size of initial data. The proofs of existence are based on several different approaches including en- ergy methods, convergence analysis of finite numerical methods and convex integration. All these techniques significantly exploit results of mathematical analysis and other branches of mathematics. 1
About differential equations and function spaces
Kufner, Alois
The paper explains (mainly on examples)the mutual connection between differential equations and the corresponding function spaces, depending on the type and data of the equation.
On weak solutions of stochastic differential equations
Hofmanová, M. ; Seidler, Jan
A new proof of existence of weak solutions to stochastic differential equations with continuous coefficients based on ideas from infinite-dimensional stochastic analysis is presented.
Survey of some results on Leray's self-similar Solutions to the Navier-Stokes equations
Skalák, Zdeněk
The survey of some recent results on self-similar solutions to the Navier-Stokes equations is presented. The question is raised concerning the existence of flow-up via non-stationary solutions of the Leray's equations.
Smoothness of the Velocity Time Derivative in the Vicinity of Regular Points of the Navier-Stokes Equations
Kučera, P. ; Skalák, Zdeněk
The regularity of the velocity time derivative and pressure derivative are studied in the vicinity of a regular point of the Navier-Stokes equations.
Survey of Partial Regularity Results in the navier-Stokes Equations
Skalák, Zdeněk
The paper contains the most famous results published recently concerning partial regularity in the Navier-Stokes equations. The brief commentary of the results is given.
Dvě poznámky o regularitě slabých řešení Navierových-Stokesových rovnic
Skalák, Zdeněk
The first note concerns the initial condition for the suitable weak solution of the Navier-Stokes equations. We show that it is possible to take a rather more general initial condition than the one used in [3]. In the second note we discuss a slight improvement of a famous regularity condition proved in [1]

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