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Showing 1 - 4 of 4 matches in All Departments

Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity (Paperback, 1st ed. 2016): Adrian... Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity (Paperback, 1st ed. 2016)
Adrian Muntean, Jens D. M. Rademacher, Antonios Zagaris
R4,297 Discovery Miles 42 970 Ships in 10 - 15 working days

This book is the offspring of a summer school school "Macroscopic and large scale phenomena: coarse graining, mean field limits and ergodicity", which was held in 2012 at the University of Twente, the Netherlands. The focus lies on mathematically rigorous methods for multiscale problems of physical origins. Each of the four book chapters is based on a set of lectures delivered at the school, yet all authors have expanded and refined their contributions. Francois Golse delivers a chapter on the dynamics of large particle systems in the mean field limit and surveys the most significant tools and methods to establish such limits with mathematical rigor. Golse discusses in depth a variety of examples, including Vlasov--Poisson and Vlasov--Maxwell systems. Lucia Scardia focuses on the rigorous derivation of macroscopic models using $\Gamma$-convergence, a more recent variational method, which has proved very powerful for problems in material science. Scardia illustrates this by various basic examples and a more advanced case study from dislocation theory. Alexander Mielke's contribution focuses on the multiscale modeling and rigorous analysis of generalized gradient systems through the new concept of evolutionary $\Gamma$-convergence. Numerous evocative examples are given, e.g., relating to periodic homogenization and the passage from viscous to dry friction. Martin Goell and Evgeny Verbitskiy conclude this volume, taking a dynamical systems and ergodic theory viewpoint. They review recent developments in the study of homoclinic points for certain discrete dynamical systems, relating to particle systems via ergodic properties of lattices configurations.

Continuum Modeling - An Approach Through Practical Examples (Paperback, 1st ed. 2015): Adrian Muntean Continuum Modeling - An Approach Through Practical Examples (Paperback, 1st ed. 2015)
Adrian Muntean
R1,745 Discovery Miles 17 450 Ships in 10 - 15 working days

This book develops continuum modeling skills and approaches the topic from three sides: (1) derivation of global integral laws together with the associated local differential equations, (2) design of constitutive laws and (3) modeling boundary processes. The focus of this presentation lies on many practical examples covering aspects such as coupled flow, diffusion and reaction in porous media or microwave heating of a pizza, as well as traffic issues in bacterial colonies and energy harvesting from geothermal wells. The target audience comprises primarily graduate students in pure and applied mathematics as well as working practitioners in engineering who are faced by nonstandard rheological topics like those typically arising in the food industry.

Melissa's Star (Paperback): Martha Kappus, Adrian Muntean, Ron Hood Melissa's Star (Paperback)
Martha Kappus, Adrian Muntean, Ron Hood
R243 Discovery Miles 2 430 Ships in 10 - 15 working days
Melissas Stern (German, Paperback): Martha Kappus, Adrian Muntean, Ron Hood Melissas Stern (German, Paperback)
Martha Kappus, Adrian Muntean, Ron Hood
R210 Discovery Miles 2 100 Ships in 10 - 15 working days
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