| 書目名稱 | Non-Local Partial Differential Equations for Engineering and Biology | | 副標(biāo)題 | Mathematical Modelin | | 編輯 | Nikos I. Kavallaris,Takashi Suzuki | | 視頻video | http://file.papertrans.cn/667/666966/666966.mp4 | | 概述 | Highlights practical use of non-local models considering any possible spatial dependence on the neighboring points as well as neglecting any feasible memory effects.Supplies new mathematical methods f | | 叢書名稱 | Mathematics for Industry | | 圖書封面 |  | | 描述 | 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 | | 出版日期 | Book 2018 | | 關(guān)鍵詞 | Applications of Loktka- Volterra Models; Bio-science Modelling; Blow up analysis for non-local diffusi | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-67944-0 | | isbn_softcover | 978-3-319-88515-5 | | isbn_ebook | 978-3-319-67944-0Series ISSN 2198-350X Series E-ISSN 2198-3518 | | issn_series | 2198-350X | | copyright | Springer International Publishing AG 2018 |
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