000 | 04343nam a22006015i 4500 | ||
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001 | 978-3-319-67944-0 | ||
003 | DE-He213 | ||
005 | 20220801214924.0 | ||
007 | cr nn 008mamaa | ||
008 | 171128s2018 sz | s |||| 0|eng d | ||
020 |
_a9783319679440 _9978-3-319-67944-0 |
||
024 | 7 |
_a10.1007/978-3-319-67944-0 _2doi |
|
050 | 4 | _aTA349-359 | |
072 | 7 |
_aTGB _2bicssc |
|
072 | 7 |
_aTEC009070 _2bisacsh |
|
072 | 7 |
_aTGB _2thema |
|
082 | 0 | 4 |
_a620.1 _223 |
100 | 1 |
_aKavallaris, Nikos I. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _941264 |
|
245 | 1 | 0 |
_aNon-Local Partial Differential Equations for Engineering and Biology _h[electronic resource] : _bMathematical Modeling and Analysis / _cby Nikos I. Kavallaris, Takashi Suzuki. |
250 | _a1st ed. 2018. | ||
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2018. |
|
300 |
_aXIX, 300 p. 23 illus., 7 illus. in color. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aMathematics for Industry, _x2198-3518 ; _v31 |
|
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 | _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. | ||
650 | 0 |
_aMechanics, Applied. _93253 |
|
650 | 0 |
_aMathematical physics. _911013 |
|
650 | 0 |
_aBioinformatics. _99561 |
|
650 | 0 |
_aDifferential equations. _941265 |
|
650 | 0 |
_aChemistry, Technical. _914638 |
|
650 | 1 | 4 |
_aEngineering Mechanics. _931830 |
650 | 2 | 4 |
_aMathematical Physics. _911013 |
650 | 2 | 4 |
_aComputational and Systems Biology. _931619 |
650 | 2 | 4 |
_aDifferential Equations. _941266 |
650 | 2 | 4 |
_aIndustrial Chemistry. _914640 |
700 | 1 |
_aSuzuki, Takashi. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _941267 |
|
710 | 2 |
_aSpringerLink (Online service) _941268 |
|
773 | 0 | _tSpringer Nature eBook | |
776 | 0 | 8 |
_iPrinted edition: _z9783319679426 |
776 | 0 | 8 |
_iPrinted edition: _z9783319679433 |
776 | 0 | 8 |
_iPrinted edition: _z9783319885155 |
830 | 0 |
_aMathematics for Industry, _x2198-3518 ; _v31 _941269 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-67944-0 |
912 | _aZDB-2-ENG | ||
912 | _aZDB-2-SXE | ||
942 | _cEBK | ||
999 |
_c76905 _d76905 |