On boundary value problems for the Boussinesq-type equation with dynamic and non-dynamic boundary conditions

On boundary value problems for the Boussinesq-type equation with dynamic and non-dynamic boundary conditions

The work studies boundary value problems with non-dynamic and dynamic boundary conditions for one- and two-dimensional Boussinesq-type equations in domains representing a trapezoid, triangle, "curvilinear" trapezoid, "curvilinear" triangle, truncated cone, cone, truncated "c...

Full description

Bibliographic Details
Main Authors:	Muvasharkhan Jenaliyev, Arnay Kassymbekova, Madi Yergaliyev, Bekzat Orynbassar
Format:	Article
Language:	English
Published:	ATNAA 2023-07-01
Series:	Advances in the Theory of Nonlinear Analysis and its Applications
Subjects:	boussinesq equation dynamical boundary condition non-cylindrical domains non-dynamical boundary condition
Online Access:	https://atnaea.org/index.php/journal/article/view/58/58

Similar Items

An initial boundary value problem for the Boussinesq equation in a Trapezoid
by: M.T. Jenaliyev, et al.
Published: (2022-06-01)

On a boundary value problem for a Boussinesq-type equation in a triangle
by: M. T. Jenaliyev, et al.
Published: (2022-09-01)

Boundary Conditions for 2D Boussinesq-type Wave-Current Interaction Equations
by: Mera M.
Published: (2011-01-01)

Continuous Dependence for the Boussinesq Equations under Reaction Boundary Conditions in <i>R</i><sup>2</sup>
by: Jincheng Shi, et al.
Published: (2022-03-01)

Nonexistence of Global Solutions to an Elliptic Equation with a Dynamical Boundary Condition
by: Stanislav I. POHOZAEV, et al.
Published: (2004-01-01)

Exact controllability for a wave equation with mixed boundary conditions in a non-cylindrical domain
by: Lizhi Cui, et al.
Published: (2014-04-01)

On the Boundary Value Problem for a Three-Dimensional Analog of the Boussinesq Differential Equation
by: T.K. Yuldashev
Published: (2016-09-01)

A priori estimates for the free boundary problem of incompressible inviscid Boussinesq and MHD-Boussinesq equations without heat diffusion
by: Wei Zhang
Published: (2023-01-01)

On the Boussinesq system: local well-posedness of the strong solution and inviscid limits
by: Lianhong Guo, et al.
Published: (2019-11-01)

Exact boundary controllability for the wave equation with moving boundary domains in a star-shaped hole
by: Ruikson S. O. Nunes
Published: (2021-06-01)

A mixed problem for semilinear wave equations with acoustic boundary conditions in domains with non-locally reacting boundary
by: Cicero L. Frota, et al.
Published: (2014-11-01)

A problem with dynamical boundary condition for a one-dimensional hyperbolic equation
by: Aleksandr Borisovich Beylin, et al.
Published: (2020-10-01)

Fractional differential equations with fractional non-separated boundary conditions
by: Xiaoyou Liu, et al.
Published: (2013-01-01)

Limit for the p-laplacian equation with dynamical boundary conditions
by: Eylem Ozturk, et al.
Published: (2021-10-01)

Inhomogeneous Boundary Value Problems for the Generalized Boussinesq Model of Mass Transfer
by: Gennadii Alekseev, et al.
Published: (2024-01-01)

On a nonlinear inverse boundary value problem for linearized sixth-order Boussinesq equation with an additional integral condition
by: Araz Salamulla Farajov
Published: (2023-09-01)

Nonlocal problems for hyperbolic equations from the viewpoint of strongly regular boundary conditions
by: Ludmila S. Pulkina
Published: (2020-04-01)

Multivalued nonmonotone dynamic boundary condition
by: Khadija Aayadi, et al.
Published: (2021-04-01)

Long-time asymptotics for the damped Boussinesq equation in a disk
by: Vladimir Varlamov
Published: (2000-10-01)

Dynamics of the p-Laplacian equations with nonlinear dynamic boundary conditions
by: Xiyou Cheng, et al.
Published: (2015-02-01)

Two Collocation Type Methods for Fractional Differential Equations with Non-Local Boundary Conditions
by: Mikk Vikerpuur
Published: (2017-09-01)

Wave Equation with Acoustic/Memory Boundary Conditions
by: André Vicente
Published: (2009-07-01)

Solution of the boundary value problem of heat conduction in a cone
by: Murat Ramazanov, et al.
Published: (2022-01-01)

Adaptive prescribed performance control for wave equations with dynamic boundary and multiple parametric uncertainties
by: Zaihua Xu, et al.
Published: (2024-01-01)

The Influence of the Boundary Conditions on the Buckling of Thin-walled Cans during Manufacturing
by: Dávid Gönczi
Published: (2023-04-01)

A variational principle for boundary-value problems with non-linear boundary conditions
by: Dianwu Yang
Published: (2015-12-01)

Numerical Reconstruction of the Source in Dynamical Boundary Condition of Laplace’s Equation
by: Miglena N. Koleva, et al.
Published: (2024-01-01)

Solvability of the Boussinesq Approximation for Water Polymer Solutions
by: Mikhail A. Artemov, et al.
Published: (2019-07-01)

On One Initial Boundary Value Problem for the Burgers Equation in a Rectangular Domain
by: M.T. Jenaliyev, et al.
Published: (2021-12-01)

On the smoothness of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem
by: Semerdjieva Rossitza
Published: (2015-04-01)

Boundary-value problems for second-order differential operators with nonlocal boundary conditions
by: Mohamed Denche, et al.
Published: (2007-04-01)

Boundary conditions for the Einstein-Christoffel formulation of Einstein's equations
by: Douglas N. Arnold, et al.
Published: (2007-02-01)

An initial boundary value problem for the Boussinesq equation in a Trapezoid
by: M.T. Jenaliyev, et al.
Published: (2022-06-01)

Boundary value problem with integral condition for a Blasius type equation
by: Sergey Smirnov
Published: (2016-01-01)

Solvability of some Neumann-type boundary value problems for biharmonic equations
by: Valery Karachik, et al.
Published: (2017-09-01)

Closed-Form Solutions of Linear Ordinary Differential Equations with General Boundary Conditions
by: Efthimios Providas, et al.
Published: (2021-09-01)

Parabolic Problems with Dynamic Boundary Conditions in Lp Spaces
by: Davide Guidetti
Published: (2014-12-01)

The investigation of solutions for nonlinear system of differential equations with boundary conditions
by: R.N. Butris, et al.
Published: (2007-04-01)

On a logarithmic wave equation with nonlinear dynamical boundary conditions: local existence and blow-up
by: Nazlı Irkıl, et al.
Published: (2023-12-01)

A review on the Cahn–Hilliard equation: classical results and recent advances in dynamic boundary conditions
by: Hao Wu
Published: (2022-05-01)