Simple stochastic models of cracks |
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Authors: | L Ya Savel’ev |
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Institution: | 1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia 2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
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Abstract: | The stochastic Markov models describe various natural and technological processes. They are often used in rather diverse areas. The Markov models are distinguished with discrete time and relatively few states. In concrete cases, such models allow us to carry out effective calculations. In the article are considered some special models with two, four and eight states. The processes are simulated that are connected with hydraulic fracturing and wave front development. |
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