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26 (0,064s)

Výsledek výzkumu

On solvability of a non-linear heat equation with a non-integrable convective term and data involving measures

Considering a mixed boundary-value problem for a non-linear heat equation with the nonhomogeneous Neumann condition, the right-hand side and the initial condition in space of sign-measures, we establish large-data existence results even if the convec...

BA - Obecná matematika

  • 2011
  • Jx
  • Odkaz
Výsledek výzkumu

Regularity and separation from potential barriers for a non-local phase-field system

We show that solutions of a two-phase model involving a non-local interactive term become more regular immediately after the moment they separate from the pure phases. This result allows us to prove stronger convergence to equilibria. A new proof of ...

BA - Obecná matematika

  • 2011
  • Jx
  • Odkaz
Výsledek výzkumu

The effective boundary conditions for vector fields on domains with rough boundaries: applications to fluid mechanics

The Navier-Stokes system is studied on a family of domains with rough boundaries formed by oscillationg riblets. Assuming the complete slip boundary conditions we identify the limit system, in particular, we show that the limit velocity field satisfi...

BA - Obecná matematika

  • 2011
  • Jx
  • Odkaz
Výsledek výzkumu

Low Mach number asymptotics for reacting compressible fluid flows

We study the low Mach number limit for the full Navier-Stokes-Fourier system describing the dynamics of chemically reacting fluids. The so-called reactive Boussinesq system is identified as the asymptotic limit....

BA - Obecná matematika

  • 2010
  • Jx
Výsledek výzkumu

The Oberbeck-Boussinesq approximation as a singular limit of the full Navier-Stokes-Fourier system

It is shown that solutions of the Navier-Stokes-Fourier system converge for small Mach and Froude numbers to solutions of the Oberbeck-Boussinesq approximation....

BA - Obecná matematika

  • 2009
  • Jx
Výsledek výzkumu

Small Péclet number approximation as a singular limit of the full Navier-Stokes-Fourier system

It is shown that solutions of the Navier-Stokes-Fourier system converge for small values of Mach, Froude, and Péclet numbers to solutions of certain systems used in astrophysics....

BA - Obecná matematika

  • 2009
  • C
Výsledek výzkumu

A stabilizing effect of a high-frequency driving force on the motion of a viscous,compressible, and heat conducting fluid

We study dynamics of complex fluids in the presence of oscillating forces. It is shown that sufficiently high frequencies stabilize the dynamics to static states....

BA - Obecná matematika

  • 2009
  • Jx
Výsledek výzkumu

On the Steady Compressible Navier-Stokes-Fourier System

We consider system of partial differential equations describing steady flow of a newtonian compressible heat conducting fluid. For Dirichlet and Navier boundary conditions for velocity we show existence of a weak solution for $gamma } 7/3$....

BA - Obecná matematika

  • 2009
  • Jx
Výsledek výzkumu

Mathematical analysis of unsteady flows of fluids with pressure, shear-rate, and temperature dependent material moduli that slip at solid boundaries

We established an existence of suitable weak solution to unsteady flow of an incompressible fluid for a class of models where the material coefficient depend on the temperature, the shear rate and the pressure in 3D setting for Navier´s slip boundary...

BA - Obecná matematika

  • 2009
  • Jx
Výsledek výzkumu

A Navier-Stokes-Fourier system for incompressible fluids with temperature dependent material coefficients

We consider a complete thermodynamic model for unsteady flows of incompressible homogeneous heat conducting Newtonian fluids in a fixed bounded three-dimensional domain. For such a model we establised the existence of suitable weak solution for Navie...

BA - Obecná matematika

  • 2009
  • Jx
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