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On Dynamical Three-Dimensional Fluid-Solid Interaction Problem

  • Gia Avalishvili , Mariam Avalishvili and David Gordeziani
Published/Copyright: March 11, 2010
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Georgian Mathematical Journal
From the journal Volume 15 Issue 4

Abstract

The present paper is devoted to the investigation of one dynamical three-dimensional mathematical model of the fluid-solid interaction. The variational formulation of the corresponding initial boundary problem is considered and a problem for abstract second order evolution equation is formulated, which is a generalization of the three-dimensional initial boundary value problem. For the stated abstract problem the existence and uniqueness of solution, and the energy equality are proved, which yield the corresponding result for the dynamical three-dimensional problem of fluid-solid interaction.

Received: 2007-06-19
Revised: 2007-12-25
Published Online: 2010-03-11
Published in Print: 2008-December

© Heldermann Verlag

Articles in the same Issue

  1. On Iterative Combination of Modified Bernstein-Type Polynomials
  2. On Dynamical Three-Dimensional Fluid-Solid Interaction Problem
  3. Existence and Uniqueness of Weak Solution for a Class of Elliptic Reaction-Diffusion Systems
  4. Existence of Solutions in Weighted Sobolev Spaces for Some Degenerate Quasilinear Elliptic Equations
  5. Periodic Solutions for Nonlinear Differential Equation with Functional Delay
  6. Restriction Theorems for Anisotropically Homogeneous Hypersurfaces of
  7. Dual Variational Method for a Fourth Order Dirichlet Problem
  8. On Some Combinatorial Problems Concerning Geometrical Realizations of Finite and Infinite Families of Sets
  9. Beurling–Borg Type Theorem for Two-Dimensional Linear Differential Systems
  10. The Maximal Operator in Weighted Variable Exponent Spaces on Metric Spaces
  11. Sequential Detection of Drift Change for Brownian Motion with Unknown Sign
  12. Uniqueness for Meromorphic Functions Concerning Differential Polynomials
  13. Integral Representations and Continuous Projectors in Some Spaces of Analytic and Pluriharmonic Functions
  14. On One Problem with the Condition at Infinity for Second Order Singular Ordinary Differential Equations
  15. Rectifiable and Unrectifiable Oscillations for a Generalization of the Riemann–Weber Version of Euler Differential Equation
  16. Compact Composition Operators on Generalized Hardy Spaces
  17. CLT for Operator Abel Sums of Random Elements
  18. On the Dirichlet Problem for a Second Order Elliptic System with Degeneration on the Whole Boundary of a Multidimensional Domain
  19. A Note on Conjugacy Classes of Finite Groups
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