EAN: 9783319679426

Bilder-Quelle: shopping24.de – Sport

This book presents new developments in non-local mathematical modeling and mathematical analysis on the behavior of solutions with novel technical tools. Theoretical backgrounds in mechanics thermo-dynamics game theory and theoretical biology are examined in details. It starts off with a review and summary of the basic ideas of mathematical modeling frequently used in the sciences and engineering. The authors then employ a number of models in bio-science and material science to demonstrate applications and provide recent advanced studies both on deterministic non-local partial differential equations and on some of their stochastic counterparts used in engineering. Mathematical models applied in engineering chemistry and biology are subject to conservation laws. For instance decrease or increase in thermodynamic quantities and non-local partial differential equations associated with the conserved physical quantities as parameters. These present novel mathematical objectsare engaged with rich mathematical structures in accordance with the interactions between species or individuals self-organization pattern formation hysteresis. These models are based on various laws of physics such as mechanics of continuum electro-magnetic theory and thermodynamics. This is why many areas of mathematics calculus of variation dynamical systems integrable systems blow-up analysis and energy methods are indispensable in understanding and analyzing these phenomena. This book aims for researchers and upper grade students in mathematics engineering physics economics and biology.

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30.04.2025 um 18:56 Uhr

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