Journal ArticleDOI
Oscillations of a Stratified Liquid Partially Covered with Ice (General Case)
TLDR
In this paper, the authors studied the problem of small motions of an ideal stratified liquid whose free surface consists of three regions: liquid surface without ice, a region of elastic ice, and an area of crumbled ice.Abstract:
We study the problem of small motions of an ideal stratified liquid whose free surface consists of three regions: liquid surface without ice, a region of elastic ice, and a region of crumbled ice. The elastic ice is modeled by an elastic plate. The crumbled ice is understood as weighty particles of some matter floating on the free surface. Using the method of orthogonal projection of boundary conditions on a moving surface and the introduction of auxiliary problems, we reduce the original initial boundary value problem to an equivalent Cauchy problem for a second-order differential equation in a Hilbert space. We obtain conditions under which there exists a strong (with respect to time) solution of the initial boundary value problem describing the evolution of the hydrodynamic system under consideration.read more
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Journal ArticleDOI
Oscillations of a Liquid Partially Covered with Ice
TL;DR: In this article, the authors studied the problem of small motions of an ideal homogeneous liquid whose free surface consists of three regions: liquid surface without ice, a region of elastic ice, an elastic plate, and crumbled ice, and obtained conditions under which there exists a strong (with respect to time) solution of the initial boundary value problem describing the evolution of the hydrodynamic system under consideration.
References
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BookDOI
Operator Approach to Linear Problems of Hydrodynamics
TL;DR: The XIXth Conference of the Technical Committee 7 of the International Federation of Information Processing (IFIP) was held in Cambridge, England, during the period 12-16 July, 1999 as discussed by the authors.
Journal ArticleDOI
Problems in the dynamics of flotation liquids
S. A. Gabov,A. G. Sveshnikov +1 more
TL;DR: In this article, the authors present new mathematical results in the theory of linear and nonlinear waves on the surface of a flotation liquid, and prove the existence of nonlinear standing waves within the framework of an exact physical model.
Journal ArticleDOI
Oscillations of Stratified Liquid Partially Covered by Crumpling Ice
TL;DR: In this paper, the authors study the problem on small motions of ideal stratified fluid with a free surface, partially covered by crumbling ice, and find sufficient existence conditions for existence of a strong (with respect to the time variable) solution to the initial-boundary value problem describing evolution of the specified hydrodynamics system.