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S. Kholodovskiĭ (2009)
The convolution method for fourier expansions: The case of a crack (screen) in an inhomogeneous spaceDifferential Equations, 45
S. Kholodovskiĭ (2017)
Solution of boundary value problems for the Laplace equation in a ball bounded by a multilayer filmDifferential Equations, 53
V. Semenov (2005)
Solvability of a Parabolic Transmission Problem with the Condition of a Generalized Proper Lumped SourceDifferential Equations, 41
E. Sanchez-Palencia (1980)
Non-Homogeneous Media and Vibration Theory
(1988)
Chislennoe modelirovanie protsessov teplomassoperenosa (Numerical Modeling of Heat- and Mass-Transfer Processes)
(1972)
Funktsional’nyi analiz (Functional Analysis)
D.A. Nomirovskii, A.I. Vostrikov (2016)
Generalized statements and properties of models of transport processes in domains with cutsKibern. Sist. Anal., 52
B. Mercier, J. Osborn, J. Rappaz, P-A. Raviart (1981)
Eigenvalue approximation by mixed and hybrid methodsMath. Comput., 36
S. Kholodovskiĭ (2009)
The convolution method for fourier expansions. The case of generalized transmission conditions of crack (screen) type in piecewise inhomogeneous mediaDifferential Equations, 45
S. Kholodovskiĭ (2018)
Solution of Boundary Value Problems in Cylinders with Two-Layer Film InclusionsJournal of Mathematical Sciences, 230
S. Kholodovskiĭ (2007)
A method of convolution of Fourier expansions as applied to solving boundary value problems with intersecting interface linesComputational Mathematics and Mathematical Physics, 47
D. Nomirovskii, O. Vostrikov (2016)
Generalized Statements and Properties of Models of Transport Processes in Domains with CutsCybernetics and Systems Analysis, 52
D. Nomirovskii (2006)
Approximate method for solving the boundary value problem for a parabolic equation with inhomogeneous transmission conditions of nonideal contact typeComputational Mathematics and Mathematical Physics, 46
S. Lyashko, D. Nomirovskii (2003)
The Generalized Solvability and Optimization of Parabolic Systems in Domains with Thin Low-Permeable InclusionsCybernetics and Systems Analysis, 39
(2009)
Sistemnyi analiz mnogokomponentnykh raspredelennykh sistem (System Analysis of Multicomponent Distributed Systems)
B. Mercier, J. Osborn, J. Rappaz, P. Raviart (1981)
Eigenvalue approximation by mixed and hybrid methodsMathematics of Computation, 36
S. Kholodovskiĭ (2013)
On the solution of boundary value problems for the laplace equation on the plane with a three-layer film inclusionDifferential Equations, 49
D. Nomirovskii (2007)
Generalized solvability and optimization of a parabolic system with a discontinuous solutionJournal of Differential Equations, 233
(1998)
Modeli i metody resheniya zadach s usloviyami sopryazheniya (Models and Methods for Solving Problems with Transmission Conditions)
S. Kholodovskiĭ (2008)
A method of Fourier series for solution of problems in piecewise inhomogeneous domains with rectilinear crack (screen)Computational Mathematics and Mathematical Physics, 48
V. Demchenko, V. Pavlyk, U. Dilthey, I. Krivtsun, O. Lisnyi, V. Nakvasyuk (2011)
Problems of heat, mass and charge transfer with discontinuous solutionsEuropean Journal of Applied Mathematics, 22
D. Nomirovskii (2004)
Generalized solvability of parabolic systems with nonhomogeneous transmission conditions of nonideal contact typeDifferential Equations, 40
We study a system of first-order partial differential equations with generalized functions ascoefficients that describes the heat and mass transfer process in domains with thin inclusions. It isproved that the operator of the problem is continuous and injective, and a theorem on theexistence and uniqueness of a generalized solution is also established.
Differential Equations – Springer Journals
Published: Aug 1, 2021
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