Titlebook: Evolutionary Equations with Applications in Natural Sciences; Jacek Banasiak,Mustapha Mokhtar-Kharroubi Book 2015 Springer International P

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Nonlinear Hyperbolic Systems of Conservation Laws and Related Applications,d solution methods will be presented. The notions of a weak solution and entropy will be introduced. This will lead into an investigation of solutions of the so called Riemann problem. For scalar conservation laws, analytical solutions will be derived using characteristics methods. In general numeri

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Stochastic Operators and Semigroups and Their Applications in Physics and Biology, solutions. The results concerning stochastic operators are applied to study ergodicity, mixing and exactness of dynamical systems and an integral operator appearing in the theory of cell cycle. The general results concerning stochastic semigroups are applied to diffusion processes, jump processes a

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SpringerBriefs in Computer Sciencet, suggest boundary conditions that were not known before. The seminal works of W. Feller, A.D. Wentzell and P. Lévy have led mathematicians and biologists to the general form of such boundary conditions, and to a thorough understanding of their probabilistic and analytical meaning.