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Existence and regularity of the Stokes system with the do-nothing and Navier’s boundary conditions
equations with the mixed boundary conditions in bounded domains. We prescribe "do–nothing" boundary conditions and Navier’s boundary conditions in two different parts of the boundary...
Applied mathematics
- 2020 •
- D •
- Link
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D - Stať ve sborníku
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Stokes and Navier-Stokes problems with Navier-type boundary condition in Lp-spaces
to the Navier Stokes problem with Navier-type boundary conditions and show that it is globalUsing the semigroup theory for the Stokes equation with Navier type boundary conditions develo...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Regularity criteria for the Navier-Stokes equations in terms of the velocity direction and the flow of energy.
to bounded domains with Navier and Navier-type boundary conditions. We further proveWe deal with the conditional regularity of the weak solutions to the Navier-dimensional space and bounded domai...
Applied mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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The Role of Boundary Conditions in the Theory of the Navier-Stokes Equation
We explain the importance of boundary conditions in the theory of solutions of the Navier-Stokes equation with stress to comparison of the homogeneous Dirichlet condition and the generalized impermeablity condi...
BA - Obecná matematika
- 2006 •
- D
Rok uplatnění
D - Stať ve sborníku
Navier-Stokes Equations with Slip Boundary Conditions
The paper presents an alternative to no-slip Dirichlet's or slip Navier's boundary conditions in the mathematical theory of the viscous incompressible fluid....
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
What Slip Boundary Conditions Induce a Well Posed Problem for the Navier - Stokes Equation?
We discuss an initial-boundary value problem for the Navier-Stokes equation with several types of slip boundary conditions. We mainly pay attention to boundary conditions based on vorticity....
BA - Obecná matematika
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
A Weak Solvability of the Navier-Stokes Equation with Navier's Boundary Condition Around a Ball Striking the Wall
if Dirichlet?s boundary condition is replaced by Navier?s slip boundary condition. at the instant of the collision need not be zero. Although a weak solution to the Navier-Stokes equationwith Dir...
BA - Obecná matematika
- 2010 •
- D •
- Link
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D - Stať ve sborníku
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Regularity criterion for local in time existence of strong solutions to the Navier-Stokes equations with Navier's type boundary conditions
In this paper we deal with the system of the Navier-Stokes equation with boundary condition of the Navier type on the bounded smooth convex domain. The main theorem gives condition for local in time existe...
Applied mathematics
- 2018 •
- D •
- Link
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D - Stať ve sborníku
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The Navier - Stokes Equations with Navier's Boundary Condition around Moving Bodies in Presence of Collisions
In this note, we treat the Navier-Stokes equation with slip Navier's boundary condition in a time variable domain around a finite system of compact bodies moving in time existence of a weak solution. It is remarkab...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Local in time existence of solution of the Navier-Stokes equations with various types of boundary conditions
In this paper we deal with the two-dimensional Navier-Stokes system with three types of boundary conditions, including the so called “do-nothing” boundary condition. We prove the local in time existence an...
Applied mathematics
- 2021 •
- JSC •
- Link
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JSC - Článek v periodiku v databázi SCOPUS
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