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pro vyhledávání: '"Mikhailov, Sergey E."'
Autor:
Mikhailov, Sergey E.
We consider evolution (non-stationary) space-periodic solutions to the $n$-dimensional non-linear Navier-Stokes equations of anisotropic fluids with the viscosity coefficient tensor variable in space and time and satisfying the relaxed ellipticity co
Externí odkaz:
http://arxiv.org/abs/2407.05488
Autor:
Mikhailov, Sergey E.
We consider evolution (non-stationary) space-periodic solutions to the $n$-dimensional non-linear Navier-Stokes equations of anisotropic fluids with the viscosity coefficient tensor variable in space and time and satisfying the relaxed ellipticity co
Externí odkaz:
http://arxiv.org/abs/2402.05792
Autor:
Mikhailov, Sergey E.
First, the solution uniqueness, existence and regularity for stationary anisotropic (linear) Stokes and generalised Oseen systems with constant viscosity coefficients in a compressible framework are analysed in a range of periodic Sobolev (Bessel-pot
Externí odkaz:
http://arxiv.org/abs/2207.04532
Autor:
Mikhailov, Sergey E.
Publikováno v:
In: C. Constanda et al. (eds.), Integral Methods in Science and Engineering, Springer Nature Switzerland, 2022, 227-243
First, the solution uniqueness and existence of a stationary anisotropic (linear) Stokes system with constant viscosity coefficients in a compressible framework on $n$-dimensional flat torus are analysed in a range of periodic Sobolev (Bessel-potenti
Externí odkaz:
http://arxiv.org/abs/2111.04170
Autor:
Mikhailov, Sergey E.1 (AUTHOR) sergey.mikhailov@brunel.ac.uk
Publikováno v:
Mathematics (2227-7390). Jun2024, Vol. 12 Issue 12, p1817. 27p.
This paper is build around the stationary anisotropic Stokes and Navier-Stokes systems with an $L^\infty$-tensor coefficient satisfying an ellipticity condition in terms of symmetric matrices in ${\mathbb R}^{n\times n}$ with zero matrix traces. We a
Externí odkaz:
http://arxiv.org/abs/2104.07124
The first aim of this paper is to develop a layer potential theory in $L_2$-based weighted Sobolev spaces on Lipschitz bounded and exterior domains of ${\mathbb R}^n$, $n\geq 3$, for the anisotropic Stokes system with $L_{\infty }$ viscosity coeffici
Externí odkaz:
http://arxiv.org/abs/2002.09990
We obtain well-posedness results in $L_p$-based weighted Sobolev spaces for a transmission problem for anisotropic Stokes and Navier-Stokes systems with $L_{\infty}$ strongly elliptic coefficient tensor, in complementary Lipschitz domains of ${\mathb
Externí odkaz:
http://arxiv.org/abs/1902.09739
We consider the time-harmonic acoustic wave scattering by a bounded {\it anisotropic inhomogeneity} embedded in an unbounded {\it anisotropic} homogeneous medium. The material parameters may have discontinuities across the interface between the inhom
Externí odkaz:
http://arxiv.org/abs/1807.10799
A mixed variational formulation of some problems in $L^2$-based Sobolev spaces is used to define the Newtonian and layer potentials for the Stokes system with $L^{\infty}$ coefficients on Lipschitz domains in ${\mathbb R}^3$. Then the solution of the
Externí odkaz:
http://arxiv.org/abs/1807.10222