The dispersion of gas exhalations and the problem of distribution of new sources on a dry hilly surface. (English) Zbl 0616.76089

The author considers a model describing the dispersion of gas exhalations in the atmosphere over a hilly terrain, assuming (among other) that the exhalations enter a chemical reaction with the atmosphere and that the process is stationary. The mathematical formulation is given by a mixed boundary value problem for an elliptic equation with the given (Dirac) distribution of exhalations on its right-hand side. Existence, uniqueness and regularity of a very weak solution are proved. Further, the problem of (optimal) distribution of new sources of exhalations is discussed.
Reviewer: P.Secchi


76N99 Compressible fluids and gas dynamics
35J25 Boundary value problems for second-order elliptic equations
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