Conformal mappings of physical-topological models. (Konformnye otobrazheniya fiziko-topologicheskikh modelej.) (Russian) Zbl 0769.76057

Lavrik, V. I.; Fil’chakova, V. P.; Yashin, A. A.

Kiev: Naukova Dumka. 375 p. (1990).

The monograph is devoted to the use of exact and approximate conformal mapping (CM) techniques for mathematical simulation in underground water hydrodynamics, in hydrodynamic theory of lattices, and in microelectronics. There are fourteen chapters combined into the following four sections: 1. CMs and the physical-topological modeling; 2. The use of CM techniques in underground water hydrodynamics; 3. CMs in hydrodynamic theory of lattices; 4. CMs of physical-topological models in the computer-aided design of microelectronic devices.

Reviewer: A.Pil’kevich (Kiev)

MSC:

76M99	Basic methods in fluid mechanics
74S30	Other numerical methods in solid mechanics (MSC2010)
65E05	General theory of numerical methods in complex analysis (potential theory, etc.)
30C35	General theory of conformal mappings
76S05	Flows in porous media; filtration; seepage

Keywords:

underground water hydrodynamics; hydrodynamic theory of lattices; microelectronic devices