Cover Image

Variational method for the solution of nonlinear boundary-value problems of the dynamics of bounded volumes of liquid with variable boundaries

We study nonlinear boundary-value problems of the hydrodynamic type formulated for the domains whose boundaries are unknown in advance. The investigations are based on the variational formulations of these problems with the help of specially introduced integral functionals with variable domains of i...

Full description

Saved in:

Bibliographic Details
Date:	2018
Main Authors:	Lukovsky, I. O., Луковський, І. О.
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2018
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1542
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Variational method for the solution of nonlinear boundary-value problems of the dynamics of bounded volumes of liquid with variable boundaries
by: I. O. Lukovskyi
Published: (2018)

Dynamics of solutions of the simplest nonlinear boundary-value problems
by: Romanenko, O. Yu., et al.
Published: (1999)

Bounded solutions to boundary-value hyperbolic problems
by: Klyuchnyk, R.Y., et al.
Published: (2016)

Bounded solutions to boundary-value hyperbolic problems
by: R. Klyuchnyk, et al.
Published: (2016)

Variational formulations of nonlinear boundary-value problems with a free boundary in the theory of interaction of surface waves with acoustic fields
by: Lukovsky, I. O., et al.
Published: (1993)

On the approximate solution of nonlinear boundary-value problems by the Newton – Kantorovich method
by: A. A. Bojchuk, et al.
Published: (2020)

Multiple solutions for nonlinear boundary-value problems of ODE
by: A. Kirichuka
Published: (2014)

Boundary-value problem for nonlinear degenerated parabolic equations with variable delay
by: M. M. Bokalo, et al.
Published: (2016)

Boundary-value problem for nonlinear degenerated parabolic equations with variable delay
by: Il’nyts’ka, О. V., et al.
Published: (2016)

Boundary-Value Problem for Weakly Nonlinear Hyperbolic Equations with Variable Coefficients
by: Bilusyak, N.I., et al.
Published: (2001)

On the approximate solution of weakly nonlinear boundary-value problems by the Newton – Kantorovich method
by: A. A. Boichuk, et al.
Published: (2020)

On solutions of general nonlinear initial boundary-value problem of inviscid fluid's dynamics in moving vessel
by: Zolotenko, G.F.
Published: (2001)

Initial-boundary value problem for doubly nonlinear integro-differential equations with variable exponents of nonlinearity
by: O. M. Buhrii
Published: (2017)

Degenerate nonlinear boundary-value problems
by: Boichuk, О. A., et al.
Published: (2009)

Adomian decomposition method in the theory of nonlinear boundary-value problems
by: O. Boichuk, et al.
Published: (2024)

Adomian decomposition method in the theory of nonlinear boundary-value problems
by: Boichuk, O., et al.
Published: (2024)

Criteria for the existence of an isolated solution of a nonlinear boundary-value problem
by: D. S. Dzhumabaev, et al.
Published: (2018)

Criteria for the existence of an isolated solution of a nonlinear boundary-value problem
by: Dzhumabaev, D. S., et al.
Published: (2018)

On a smooth solution of a nonlinear periodic boundary-value problem
by: Dobrynskii, V. A., et al.
Published: (1999)

Application of the collocation method to solution of boundary value problems
by: Ronto, N. I., et al.
Published: (1971)

Hyperbolic boundary value problems in bounded regions of space multilayer
by: I. M. Konet
Published: (2013)

Methods for the solution of boundary-value problems for weakly nonlinear integro-differential equations with parameters and restrictions
by: Luchka, A. Y., et al.
Published: (2009)

Truncation method for countable-point boundary-value problems in the space of bounded number sequences
by: Nedokis, V. A., et al.
Published: (2004)

On the Existence of Mild Solutions of the Initial-Boundary-Value Problems for the Petrovskii-Type Semilinear Parabolic Systems with Variable Exponents of Nonlinearity
by: O. M. Buhrii
Published: (2014)

On the Existence of Mild Solutions of the Initial-Boundary-Value Problems for the Petrovskii-Type Semilinear Parabolic Systems with Variable Exponents of Nonlinearity
by: Buhrii, O. M., et al.
Published: (2014)

On the variational statement of one boundary-value problem with free interface
by: Timokha, A., et al.
Published: (2023)

Adomian’s decomposition method in the theory of nonlinear autonomous boundary-value problems
by: Boichuk, O., et al.
Published: (2023)

An exact solution of boundary-value problem
by: Khoma, N. H., et al.
Published: (1999)

On solutions of nonlinear boundary-value problems the components of which vanish at certain points
by: B. Půža, et al.
Published: (2018)

On solutions of nonlinear boundary-value problems the components of which vanish at certain points
by: Puza, B., et al.
Published: (2018)

Initial-boundary value problems for anisotropic elliptic-parabolic-pseudoparabolic equations with variable exponents of nonlinearity
by: Bokalo, M., et al.
Published: (2014)

Initial-boundary value problems for anisotropic elliptic-parabolic-pseudoparabolic equations with variable exponents of nonlinearity
by: M. Bokalo, et al.
Published: (2014)

Aggregate-Iterative Methods for the Approximation of Solutions of Boundary-Value Problems
by: Kostyshyn, L. P., et al.
Published: (2003)

Solution of the boundary-value problem of heat conduction with periodic boundary conditions
by: F. Kanca, et al.
Published: (2020)

Solution of the boundary-value problem of heat conduction with periodic boundary conditions
by: Kanca, F., et al.
Published: (2020)

Variational statements and discretization of the boundary-value problem of the elasticity theory when tension on the boundary of the domain is known
by: N. A. Vareniuk, et al.
Published: (2020)

Approximation of a bounded solution of one difference equation with unbounded operator coefficient by solutions of the corresponding boundary-value problems
by: Gorodnii, M. F., et al.
Published: (2000)

Nonlinear boundary-value problems unsolved with respect to the derivative
by: A. M. Samoilenko, et al.
Published: (2020)

Nonlinear boundary-value problems unsolved with respect to the derivative
by: Samoilenko, A. M., et al.
Published: (2020)

Investigation of behaviour of approximate solution of a nonlinear boundary value problem in the instability area
by: I. Mukha
Published: (2016)