On the Second Initial-boundary Value Problem for Parabolic Equation, Containing Mixed Derivatives

On the Second Initial-boundary Value Problem for Parabolic Equation, Containing Mixed Derivatives

In this work new analytical solution of the second initial-boundary value problem of the theory of thermal conductivity in a general anisotropic strip has been found considering that heat transfer characteristics are not scalar values but second symmetric tensors. The theorems about the existence an...

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Veröffentlicht in:Lobachevskii journal of mathematics 2019-07, Vol.40 (7), p.964-968
Hauptverfasser: Formalev, V., Rabinskiy, L.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Boundary value problems
Exact solutions
Existence theorems
Geometry
Mathematical analysis
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Tensors
Thermal conductivity
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Zusammenfassung:In this work new analytical solution of the second initial-boundary value problem of the theory of thermal conductivity in a general anisotropic strip has been found considering that heat transfer characteristics are not scalar values but second symmetric tensors. The theorems about the existence and uniqueness of found solution have been proved.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080219070114