Results 1 to 10 of about 5,148,909 (356)
On the existence of global solution of the system of equations of liquid movement in porous medium [PDF]
E3S 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
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Project-based learning in training IT-personnel for the digital economy [PDF]
E3S 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
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Learning the solution operator of parametric partial differential equations with physics-informed DeepONets [PDF]
Science Advances, 2021 Enabling the rapid emulation of parametric differential equations with physics-informed deep operator networks.
Sifan Wang, Hanwen Wang, P. Perdikaris
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Nonlinear Parabolic Variational Inequalities with Variable Time-Delay in Time Unbounded Domains
Journal 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
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On the numerical solution of one inverse problem for a linearized two-dimensional system of Navier-Stokes equations [PDF]
Opuscula 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
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Can a Finite Degenerate ‘String’ Hear Itself The Exact Solution to a Simplified IBVP
Journal 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
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, 2022 The Encyclopedia of Mathematical Geosciences is a complete and authoritative reference work. It provides concise explanation on each term that is related to Mathematical Geosciences. Over 300 international scientists, each expert in their specialties, have written over 300 separate articles on different topics of mathematical geosciences including ...
Zlotnik, Sergio, Soler Villanueva, Jaume
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Journal 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
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Transforming Radical Differential Equations to Algebraic Differential Equations
Mediterranean Journal of Mathematics, 2022 Abstract In this paper we present an algorithmic procedure that transforms, if possible, a given system of ordinary or partial differential equations with radical dependencies in the unknown function and its derivatives into a system with polynomial relations among them by means of a rational change of variables.
Falkensteiner, Sebastian +1 more
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Finding the Zeros of a High-Degree Polynomial Sequence
Journal 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
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