03438nam a2200505 i 4500991003564219707536m o d cr cnu|||unuuu181030s2017 sz a ob 001 0 eng d3319654675(electronic bk.)978331965467610.1007/978-3-319-65467-6doib1435245x-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng570.28523AMS 35-02AMS 17B80AMS 35A30AMS 92D25LC QH324.2-324.25Cherniha, Roman755753Nonlinear reaction-diffusion systems[e-book] :conditional symmetry, exact solutions and their applications in biology /Roman Cherniha, Vasyl' DavydovychCham, Switzerland :Springer,20171 online resource (xiii, 160 pages) :illustrations (some color)texttxtrdacontentcomputercrdamediaonline resourcecrrdacarriertext filePDFrdaLecture notes in mathematics,0075-8434 ;2196Includes bibliographical references and index1 Scalar reaction-diffusion equations - conditional symmetry, exact solutions and applications ; 2 Q-conditional symmetries of reaction-diffusion systems ; 3 Conditional symmetries and exact solutions of diffusive Lotka-Volterra systems ; 4 Q-conditional symmetries of the first type and exact solutions of nonlinear reaction-diffusion systems ; A List of reaction-diffusion systems and exact solutions ; IndexThis book presents several fundamental results in solving nonlinear reaction-diffusion equations and systems using symmetry-based methods. Reaction-diffusion systems are fundamental modeling tools for mathematical biology with applications to ecology, population dynamics, pattern formation, morphogenesis, enzymatic reactions and chemotaxis. The book discusses the properties of nonlinear reaction-diffusion systems, which are relevant for biological applications, from the symmetry point of view, providing rigorous definitions and constructive algorithms to search for conditional symmetry (a nontrivial generalization of the well-known Lie symmetry) of nonlinear reaction-diffusion systems. In order to present applications to population dynamics, it focuses mainly on two- and three-component diffusive Lotka-Volterra systems. While it is primarily a valuable guide for researchers working with reaction-diffusion systems and those developing the theoretical aspects of conditional symmetry conception, parts of the book can also be used in master's level mathematical biology coursesReaction-diffusion equationsDifferential equations, PartialBiomathematicsMathematical physicsDavydovych, Vasyl'authorhttp://id.loc.gov/vocabulary/relators/aut755754Springer eBooksPrinted edition:9783319654652https://link.springer.com/book/10.1007/978-3-319-65467-6An electronic book accessible through the World Wide Web.b1435245x03-03-2230-10-18991003564219707536Nonlinear reaction-diffusion systems1522945UNISALENTOle01330-10-18m@ -engsz 0002346oam 2200517I 450 991070447690332120130618153718.0(CKB)5470000002440923(OCoLC)815667739(EXLCZ)99547000000244092320121101d2012 ua 0engurmn|||||||||rdacontentrdamediardacarrierValidation methodology to allow simulated peak reduction and energy performance analysis of residential building envelope with phase change materials preprint /P.C. Tabares-Velasco, C. Christensen, and M. Bianchi[Golden, Colo.] :National Renewable Energy Laboratory,2012.1 online resource (8 pages) color illustrationsNREL/CP ;5500-54015Title from title screen (viewed Nov. 1, 2012)."August 2012.""Presented at the 2012 ASHRAE Annual Conference, San Antonio, Texas, June 23-27, 2012."Includes bibliographical references (page 8).Validation methodology to allow simulated peak reduction and energy performance analysis of residential building envelope with phase change materials BuildingsEnergy consumptionComputer simulationCongressesBuilding materialsEnergy conservationComputer simulationCongressesHeat storageResearchCongressesConference papers and proceedings.lcgftBuildingsEnergy consumptionComputer simulationBuilding materialsEnergy conservationComputer simulationHeat storageResearchTabares-Velasco Paulo César1404597Christensen C.Bianchi M.National Renewable Energy Laboratory (U.S.),American Society of Heating, Refrigerating and Air-Conditioning Engineers.Meeting(2012 :San Antonio, Tex.)SOESOEOCLCOOCLCQGPOBOOK9910704476903321Validation methodology to allow simulated peak reduction and energy performance analysis of residential building envelope with phase change materials3490526UNINA