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On the construction of Green’s function for a parabolic equation for the pollutant dispersion problem in an unlimited spatial temporal domain. (Ukrainian. English summary) Zbl 1080.76570

Summary: The Green function for a parabolic equation describing processes of pollutant dispersion with ground water on the basis of Lurie’s method of symbolic integration of partial differential equations is constructed and analyzed.

MSC:

76S05 Flows in porous media; filtration; seepage
76M25 Other numerical methods (fluid mechanics) (MSC2010)
35Q35 PDEs in connection with fluid mechanics