Zobrazeno 1 - 10
of 254
pro vyhledávání: '"Tarkhanov, N."'
Autor:
Shlapunov, A., Tarkhanov, N.
Publikováno v:
Advances and Applications in Fluid Mechanics, 21:2 (2018), 127-246
We consider the Navier-Stokes equations in the layer ${\mathbb R}^n \times [0,T]$ over $\mathbb{R}^n$ with finite $T > 0$. Using the standard fundamental solutions of the Laplace operator and the heat operator, we reduce the Navier-Stokes equations t
Externí odkaz:
http://arxiv.org/abs/1904.06801
Autor:
Shlapunov, A., Tarkhanov, N.
Publikováno v:
Journal of Differential Equations, 255 (2013), 3305-3337
We consider a Sturm--Liouville boundary value problem in a boun\-ded domain $\cD$ of $\mathbb{R}^n$. By this is meant that the differential equation is given by a second order elliptic operator of divergent form in $\cD$ and the boundary conditions a
Externí odkaz:
http://arxiv.org/abs/1904.06045
For elliptic systems of differential equations on a manifold with boundary, we prove the Fredholm property of a class of boundary problems which do not satisfy the Shapiro-Lopatinskii property. We name these boundary problems generalised elliptic, fo
Externí odkaz:
http://opus.kobv.de/ubp/volltexte/2009/2999/
Autor:
Glebov, S., Tarkhanov, N.
We investigate an influence of dissipation on autoresonant threshold for a system of nonlinear oscillators. Exact asymptotic formulas and numerical simulations are presented. These results correspond to an initial interval of autoresonance.
Comm
Comm
Externí odkaz:
http://arxiv.org/abs/1301.4792
Autor:
Gauthier, P. M., Tarkhanov, N.
We show that it is possible to approximate the zeta-function of a curve over a finite field by meromorphic functions which satisfy the same functional equation and moreover satisfy (respectively do not satisfy) the analogue of the Riemann hypothesis.
Externí odkaz:
http://arxiv.org/abs/1008.0499
Autor:
Fedchenko, D., Tarkhanov, N.
We study the Cauchy problem for the Laplace equation in a cylindrical domain with data on a part of it's boundary which is a cross-section of the cylinder. On reducing the problem to the Cauchy problem for the wave equation in a complex domain and us
Externí odkaz:
http://arxiv.org/abs/1003.3606
Publikováno v:
Physics Letters A, Volume 374, Issue 13-14, 2010, p. 1420-1424.
We get the leading term of the Gurevich-Pitaevskii special solution to the KdV equation in the oscillation zone without using averaging methods.
Comment: 13 pages, 3 figures
Comment: 13 pages, 3 figures
Externí odkaz:
http://arxiv.org/abs/0912.4853
For an elliptic complex of first order differential operators on a smooth manifold, we define a system of two equations which can be thought of as abstract Maxwell equations. The formal theory of this system proves to be very similar to that of class
Externí odkaz:
http://arxiv.org/abs/0910.1224
A solution of the nonlinear Klein-Gordon equation perturbed by a parametric driver is studied. The frequency of the parametric perturbation varies slowly and passes through a resonant value. It yields a change in a solution. We obtain a connection fo
Externí odkaz:
http://arxiv.org/abs/0806.3338
Autor:
Gauthier, P. M., Tarkhanov, N.
Approximation theorems, analogous to known results for linear elliptic equations, are obtained for solutions of the heat equation. Via the Cole-Hopf transformation, this gives rise to approximation theorems for a nonlinear parabolic equation, Burgers
Externí odkaz:
http://arxiv.org/abs/0709.3569