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008			171128s2018 gw | s |||| 0|eng d
020			_a9783319679440
024	7		_a10.1007/978-3-319-67944-0 _2doi
040			_bspa _cES-MaUEC _dES-MaUEC
050		4	_aQA374 _b.K383 2018 EB
100	1		_aKavallaris, Nikos I. _eautor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _1http://viaf.org/viaf/22153182666126791073/
245	1	0	_aNon-Local Partial Differential Equations for Engineering and Biology _bMathematical Modeling and Analysis _cby Nikos I. Kavallaris, Takashi Suzuki.
264		1	_aCham _bSpringer International Publishing _c2018
300			_a1 recurso en línea (XIX, 300 páginas 23 ilustraciones, 7 ilustraciones a color.)
336			_2rdacontent _aTexto _btxt
337			_2rdamedia _aelectrónico _bc
338			_2rdacarrier _arecurso electrónico _bcr
347			_atext file _bPDF
490	0		_aMathematics for Industry, _x2198-350X _v31
490	0		_aEngineering (Springer-11647)
505	0		_aDedication -- Preface -- Acknowledgements.- Part I Applications in Engineering.- Micro-electro-mechanical-systems(MEMS).- Ohmic Heating Phenomena.- Linear Friction Welding.- Resistance Spot Welding.- Part II Applications in Biology.- Gierer-Meinhardt System.- A Non-local Model Illustrating Replicator Dynamics.- A Non-local Model Arising in Chemotaxis.- A Non-local Reaction-Diffusion System Illustrating Cell Dynamics -- Appendices -- Index.
520	3		_aThis 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 grade students in mathematics, engineering, physics, economics, and biology.
988			_aEBSPRINGER_2018
650		7	_2embne _aEcuaciones diferenciales _9139227
700	1		_aSuzuki, Takashi. _eautor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _0http://id.loc.gov/authorities/names/nr88006933 _1http://viaf.org/viaf/224589682/
776	0	8	_iEdición impresa: _z9783319679426
776	0	8	_iEdición impresa: _z9783319679433
776	0	8	_iEdición impresa: _z9783319885155
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-319-67944-0 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE