Zobrazeno 1 - 10
of 270
pro vyhledávání: '"Tarkhanov, Nikolai"'
Publikováno v:
Russian Journal of Mathematical Physics,V.12, N. 1, 2005, p. 97-124
Let $X$ be a smooth $n\,$-dimensional manifold and $D$ be an open connected set in $X$ with smooth boundary $\partial D$. Perturbing the Cauchy problem for an elliptic system $Au = f$ in $D$ with data on a closed set $\iG \subset \partial D$ we obtai
Externí odkaz:
http://arxiv.org/abs/2304.11301
We consider the initial problem for the Navier-Stokes equations over ${\mathbb R}^3 \times [0,T]$ with a positive time $T$ in the spatially periodic setting. Identifying periodic vector-valued functions on ${\mathbb R}^3$ with functions on the $3\,$-
Externí odkaz:
http://arxiv.org/abs/2106.07515
We consider the initial problem for the Navier-Stokes equations over ${\mathbb R}^3 \times [0,T]$ with a positive time $T$ over specially constructed scale of function spaces of Bochner-Sobolev type. We prove that the problem induces an open both inj
Externí odkaz:
http://arxiv.org/abs/2009.10530
We consider the initial value problem for the Navier-Stokes equations over $R^{3} \times [0,T]$ with a positive time $T$ in the spatially periodic setting. Identifying periodic vector-valued functions on $R^{3}$ with functions on the three-dimensiona
Externí odkaz:
http://arxiv.org/abs/2007.14911
The paper is aimed at analysing a singular perturbation of the Navier-Stokes equations on a compact closed manifold. The case of compact smooth manifolds with boundary under the Dirichlet conditions is also included. Global existence and uniqueness i
Externí odkaz:
http://arxiv.org/abs/1906.09572
The paper is devoted to asymptotic analysis of the Dirichlet problem for a second order partial differential equation containing a small parameter multiplying the highest order derivatives. It corresponds to a small perturbation of a dynamical system
Externí odkaz:
http://opus.kobv.de/ubp/volltexte/2014/7046/
Autor:
Aizenberg, Lev, Tarkhanov, Nikolai
Using the multidimensional logarithmic residue we show a simple formula for the difference between the number of integer points in a bounded domain of R^n and the volume of this domain. The difference proves to be the integral of an explicit differen
Externí odkaz:
http://opus.kobv.de/ubp/volltexte/2014/7045/
We develop a new approach to the analysis of pseudodifferential operators with small parameter 'epsilon' in (0,1] on a compact smooth manifold X. The standard approach assumes action of operators in Sobolev spaces whose norms depend on 'epsilon'. Ins
Externí odkaz:
http://opus.kobv.de/ubp/volltexte/2014/6950/
Autor:
Fedchenko, Dmitry, Tarkhanov, Nikolai
We prove a Fedosov index formula for the index of Toeplitz operators connected with the Hardy space of solutions to an elliptic system of first order partial differential equations in a bounded domain of Euclidean space with infinitely differentiable
Externí odkaz:
http://opus.kobv.de/ubp/volltexte/2014/7249/
We find an adequate interpretation of the Lamé operator within the framework of elliptic complexes and study the first mixed problem for the nonstationary Lamé system.
Externí odkaz:
http://opus.kobv.de/ubp/volltexte/2014/7192/