ISSN 1997-7670 (Print)
ISSN 2541-8785 (Online)

List of issues > Series «Mathematics». 2018. Vol. 26

Small Movements of a System of Ideal Stratified Fluids Completely Covered with Crumbled Ice

D. O. Tsvetkov

We study the problem on small motions of two non mixing ideal stratified fluids with a free surface, covered with crumbling ice. Using method of orthogonal projecting the boundary conditions on the moving surface and the introduction of auxiliary problems of the original initial-boundary value problem is reduced to the equivalent Cauchy problem for a differential equation of second order in some Hilbert space. We find sufficient existence conditions for a strong (with respect to the time variable) solution of the initial-boundary value problem describing the evolution of the specified hydrodynamics system.

About the Authors

Denis O. Tsvetkov, Cand. Sci. (Phys.–Math.), Taurida Academy, Crimean Federal University, 4, Vernadskii pr., Simferopol, 295007, Russian Federation, e-mail: tsvetdo@gmail.com

For citation

Tsvetkov D.O. Small Movements of a System of Ideal Stratified Fluids Completely Covered with Crumbled Ice. The Bulletin of Irkutsk State University. Series Mathematics, 2018, vol. 26, pp. 105-120. (in Russian) https://doi.org/10.26516/1997-7670.2018.26.105

stratification effect in ideal fluids, initial boundary value problem, differential equation in Hilbert space, Cauchy problem, strong solution
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