Zobrazeno 1 - 10
of 64
pro vyhledávání: '"V. I. Yudovich"'
Autor:
V. I. Yudovich
This book presents the theory of the linearization method as applied to the problem of steady-state and periodic motions of continuous media. The author proves infinite-dimensional analogues of Lyapunov's theorems on stability, instability, and condi
Publikováno v:
Communications in Partial Differential Equations. 33:943-968
The paper is focused on the loss of smoothness hypothesis which claims that vorticity (or vorticity gradients in the 2D case) grows unboundedly for the substantial part of the inviscid incompressible flows. At least, every steady flow is supposed to
Autor:
S. A. Guda, V. I. Yudovich
Publikováno v:
Siberian Mathematical Journal. 48:446-462
The torsional oscillations are studied of a solid of revolution under the action of elastic torque inside a container with a viscous incompressible fluid. We prove the asymptotic stability of the static equilibrium. We use the two approaches: the dir
Autor:
V I Yudovich
Publikováno v:
Sbornik: Mathematics. 198:117-146
The asymptotic model of Oberbeck-Boussinesq convection is considered in the case when the heat conductivity is equal to zero and the viscosity . The global existence and uniqueness results are proved for the basic initial-boundary-value problem; both
Publikováno v:
Doklady Physics. 52:105-109
Autor:
V. I. Yudovich
Publikováno v:
Математический сборник. 198:127-158
Autor:
V. I. Yudovich
Publikováno v:
Journal of Mathematical Fluid Mechanics. 7:S299-S325
This paper consists of two sections. In the first section we consider the uniqueness problem for the Euler equation of an ideal incompressible fluid motion. The strict counter-example is presented to demonstrate that the regularity restrictions in th
Autor:
V. I. Yudovich
Publikováno v:
Doklady Physics. 49:522-526
Autor:
L. G. Kurakin, V. I. Yudovich
Publikováno v:
Siberian Mathematical Journal. 45:294-310
We study the bifurcations that accompany the collapse of a continuous family of equilibria of a cosymmetric dynamical system (or a family of solutions to a cosymmetric operator equation in general) under some perturbation that destroys cosymmetry. Us
Autor:
L. G. Kurakin, V. I. Yudovich
Publikováno v:
Mathematical Notes. 73:751-755