Results 1 to 10 of about 1,497,332 (283)

On the existence of global solution of the system of equations of liquid movement in porous medium [PDF]

open access: yesE3S Web of Conferences, 2021
The initial-boundary value problem for the system of one-dimensional isothermal motion of viscous liquid in deformable viscous porous medium is considered. Local theorem of existence and uniqueness of problem is proved in case of compressible liquid.
Tokareva Margarita, Papin Alexander
doaj   +1 more source

Project-based learning in training IT-personnel for the digital economy [PDF]

open access: yesE3S Web of Conferences, 2023
The purpose of the study is to modernize IT personnel training to enhance the development of the digital economy by means of project-based learning methods. The objectives of the study are to harmonize the educational process with the needs of production
Balandin Dmitry   +2 more
doaj   +1 more source

Nonlinear Parabolic Variational Inequalities with Variable Time-Delay in Time Unbounded Domains

open access: yesJournal of Optimization, Differential Equations and Their Applications, 2023
We research the well-posedness of the problem without initial condition for nonlinear parabolic variational inequalities with variable time-delay. To justify our results, we impose some assumptions on the solution behavior and growth of the data-in as ...
Mykola M. Bokalo   +2 more
doaj   +1 more source

On the numerical solution of one inverse problem for a linearized two-dimensional system of Navier-Stokes equations [PDF]

open access: yesOpuscula Mathematica, 2022
The paper studies the numerical solution of the inverse problem for a linearized two-dimensional system of Navier-Stokes equations in a circular cylinder with a final overdetermination condition.
Muvasharkhan Jenaliyev   +2 more
doaj   +1 more source

Can a Finite Degenerate ‘String’ Hear Itself The Exact Solution to a Simplified IBVP

open access: yesJournal of Optimization, Differential Equations and Their Applications, 2022
The separation of variables based solution to a simplified (compared to that published earlier in JODEA, 28 (1) (2020), 1 – 42) initial boundary value problem for a 1D linear degenerate wave equation, posed in a space-time rectangle, has been presented ...
Vladimir L. Borsch, Peter I. Kogut
doaj   +1 more source

Solutions to a Simplified Initial Boundary Value Problem for 1D Hyperbolic Equation with Interior Degeneracy

open access: yesJournal of Optimization, Differential Equations and Their Applications, 2021
A 1-parameter initial boundary value problem (IBVP) for a linear homogeneous degenerate wave equation (JODEA, 28(1), 1) in a space-time rectangle is considered.
Vladimir L. Borsch, Peter I. Kogut
doaj   +1 more source

Finding the Zeros of a High-Degree Polynomial Sequence

open access: yesJournal of Optimization, Differential Equations and Their Applications, 2021
A 1-parameter initial-boundary value problem for a linear spatially 1-dimensional homogeneous degenerate wave equation, posed in a space-time rectangle, in case of strong degeneracy, was reduced to a linear integro-differential equation of convolution ...
Vladimir L. Borsch, Peter I. Kogut
doaj   +1 more source

The Existence Result for a p-Kirchhoff-Type Problem Involving Critical Sobolev Exponent

open access: yesJournal of Function Spaces, 2023
In this paper, by using the mountain pass theorem and the concentration compactness principle, we prove the existence of a positive solution for a p-Kirchhoff-type problem with critical Sobolev exponent.
Hayat Benchira   +3 more
doaj   +1 more source

Longterm existence of solutions of a reaction diffusion system with non-local terms modeling an immune response—An interpretation-orientated proof

open access: yesPartial Differential Equations in Applied Mathematics, 2022
This paper shows the global existence and boundedness of solutions of a reaction diffusion system modeling liver infections. The existence proof is presented step by step and the focus lies on the interpretation of intermediate results in the context of ...
Cordula Reisch, Dirk Langemann
doaj   +1 more source

Steady-State Motion of a Load on an Ice Cover with Linearly Variable Thickness in a Channel

open access: yesJournal of Marine Science and Engineering, 2023
The paper considers the visco-elastic response of the ice cover in a channel under an external load moving with constant speed along the center line. The channel has a rectangular cross-section with a finite depth and width.
Konstantin Shishmarev   +2 more
doaj   +1 more source

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