Show simple item record

dc.contributor.authorKavallaris, Nikos I.*
dc.contributor.authorSuzuki, Takashi*
dc.date.accessioned2018-05-21T14:41:42Z
dc.date.available2018-05-21T14:41:42Z
dc.date.issued2017-12-14
dc.identifier.citationKavallaris, N. I., & Suzuki, T. (2017). Non-Local Partial Differential Equations for Engineering and Biology Mathematical Modeling and Analysis. Springer.en
dc.identifier.isbn9783319679426
dc.identifier.urihttp://hdl.handle.net/10034/621140
dc.description.abstractThis 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 objects are 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 grades students in mathematics, engineering, physics, economics, and biology.
dc.language.isoenen
dc.publisherSpringeren
dc.relation.urlhttp://www.springer.com/gp/book/9783319679426en
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectNon-local Differential Equationsen
dc.subjectIndustry, Biologyen
dc.titleNon-Local Partial Differential Equations for Engineering and Biology: Mathematical Modeling and Analysisen
dc.typeBooken
dc.contributor.departmentUniversity of Chester; Osaka Universityen
dc.date.accepted2017-10-17
or.grant.openaccessYesen
rioxxterms.funderUnfundeden
rioxxterms.identifier.projectUnfundeden
rioxxterms.versionAMen
rioxxterms.licenseref.startdate2217-12-31
html.description.abstractThis 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 objects are 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 grades students in mathematics, engineering, physics, economics, and biology.
rioxxterms.publicationdate2017-12-14


Files in this item

Thumbnail
Name:
book(KS).pdf
Embargo:
2217-12-31
Size:
2.536Mb
Format:
PDF

This item appears in the following Collection(s)

Show simple item record

http://creativecommons.org/licenses/by-nc-nd/4.0/
Except where otherwise noted, this item's license is described as http://creativecommons.org/licenses/by-nc-nd/4.0/