Geodesic
Determining temperature fields in a spatially inhomogeneous nonlinear medium
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Complex Analysis. Mathematical Physics, Tome 162 (2019), pp. 34-41

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A method of determining temperature fields in a spatially inhomogeneous medium with temperature-dependent thermophysical properties of the material is shown. For this purpose, point and nonlocal transformations of the nonstationary heat conduction equation are used. Examples of applying the theory for various boundary conditions in the spherical symmetric case are given.
Keywords: inhomogeneity, nonlinearity, spherical symmetry, hollow ball, boundary conditions.
Mots-clés : point and nonlocal transformations 
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     author = {A. V. Zhiber and N. M. Tsirelman},
     title = {Determining temperature fields in a spatially inhomogeneous nonlinear medium},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {34--41},
     publisher = {mathdoc},
     volume = {162},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2019_162_a3/}
}
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A. V. Zhiber; N. M. Tsirelman. Determining temperature fields in a spatially inhomogeneous nonlinear medium. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Complex Analysis. Mathematical Physics, Tome 162 (2019), pp. 34-41. http://geodesic.mathdoc.fr/item/INTO_2019_162_a3/