Investigation of the Trace Elements Concentrations Dynamics in a Horizontal Layered Fine-Pore Peat Blocks of Mires Fed By Groundwater and Springs

In the present paper, we propose an analytical approach for solving the 3D unsteady-state boundary-value problem for the second-order parabolic equation with the second and third types boundary conditions in two-layer rectangular parallelepipedic domain.

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ON A 3D INITIAL-BOUNDARY VALUE PROBLEM FOR DETERMINING THE DYNAMICS OF IMPURITIES CONCENTRATION IN A HORIZONTAL LAYERED FINE-PORE MEDIUM

Environment Technology Resources Proceedings of the International Scientific and Practical Conference ◽

10.17770/etr2019vol3.4172 ◽

2019 ◽

Vol 3 ◽

pp. 60

Author(s):

Sharif E. Guseynov ◽

Ruslans Aleksejevs ◽

Jekaterina V. Aleksejeva

Keyword(s):

Parabolic Equation ◽

Boundary Value Problem ◽

Boundary Conditions ◽

Analytical Approach ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Unsteady State ◽

State Boundary ◽

Initial Boundary Value

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Uniqueness of the solution of a boundary value problem with samarskii boundary conditions for a second-order parabolic equation

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(76)90045-8 ◽

1976 ◽

Vol 16 (6) ◽

pp. 96-104 ◽

Cited By ~ 2

Author(s):

L.I. Kamynin

Keyword(s):

Parabolic Equation ◽

Boundary Value Problem ◽

Boundary Conditions ◽

Boundary Value ◽

Second Order ◽

Order Parabolic Equation ◽

Uniqueness Of The Solution

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The uniqueness of the solution of the first boundary value problem in an unbounded domain for a second-order parabolic equation

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(84)90152-6 ◽

1984 ◽

Vol 24 (5) ◽

pp. 32-40 ◽

Cited By ~ 2

Author(s):

L.I. Kamynin

Keyword(s):

Parabolic Equation ◽

Boundary Value Problem ◽

Unbounded Domain ◽

Boundary Value ◽

Second Order ◽

Order Parabolic Equation ◽

Uniqueness Of The Solution

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Exponential Asymptotics of the Solution of the Second Boundary Value Problem for a Second-Order Parabolic Equation with a Small Parameter

Differential Equations ◽

10.1023/b:dieq.0000008412.99991.41 ◽

2003 ◽

Vol 39 (6) ◽

pp. 853-864

Author(s):

S. M. Frolovichev

Keyword(s):

Parabolic Equation ◽

Boundary Value Problem ◽

Small Parameter ◽

Boundary Value ◽

Second Order ◽

Order Parabolic Equation ◽

Exponential Asymptotics

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On the solutions of the first boundary value problem for the linear parabolic equations

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s0308210500014712 ◽

1988 ◽

Vol 108 (3-4) ◽

pp. 339-355 ◽

Cited By ~ 6

Author(s):

Eugenio Sinestrari ◽

Wolf von Wahl

Keyword(s):

Parabolic Equation ◽

Boundary Value Problem ◽

Parabolic Equations ◽

Boundary Value ◽

Second Order ◽

Inhomogeneous Term ◽

Hölder Continuous ◽

Space And Time ◽

Order Parabolic Equation ◽

Linear Parabolic Equations

SynopsisThe first boundary value problem for a linear second order parabolic equation is studied under the assumption that the inhomogeneous term is continuous in space and time and Hölder-continuous only with respect to the space variables.

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