Abstract
Green's functions are obtained for a semi-infinite straight line with a uniformly moving boundary (10), (11), (12) and for a segment with boundaries moving uniformly and in parallel (16), (17), (18). For the solution a moving coordinate system is introduced and the method of Laplace transforms is applied.
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References
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Kval'vasser, V.I., Rutner, Y.F. Green's functions for boundary-value problems for the heat equation over regions with uniformly moving boundaries. Journal of Engineering Physics 8, 329–333 (1965). https://doi.org/10.1007/BF00828745
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DOI: https://doi.org/10.1007/BF00828745