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This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact

soft matter --- mechanical metamaterials --- liquid crystals --- topology --- active matter

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This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact

biophysics --- mathematical physics --- medical physics --- nuclear physics --- physical chemistry --- plasma physics --- social physics --- soft matter physics --- optics --- particle physics

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Soft condensed matter --- Soft condensed matter. --- Matter, Soft condensed --- Matter, Soft (Condensed matter) --- Soft matter (Condensed matter) --- Condensed matter --- Complex fluids

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The physics of soft matter - materials such as elastomers, gels, foams and liquid crystals - is an area of intense interest and contemporary study. Moreover, soft matter plays a role in a wide variety of important processes and application. For example, gel swelling and dynamics are an essential part of many biological and individual processes, such as motility mechanisms in bacteria and the transport and absorption of drugs. Ferroelectrics, liquid crystals, and elastomers are being used to design ever faster switching devices. Experimental studies, such as scattering, optical and electron microscopy, have provided a great deal of detailed information on structures. But the integration of mathematical modeling and analysis with experimental approaches promises to greatly increase our understanding of structure-property relationships and constitutive equations. The workshop on Modeling of Soft Matter has taken such an integrated approach. It brought together researchers in applied and computational mathematical fields such as differential equations, dynamical systems, analysis, and fluid and solid mechanics, and scientists and engineers from a variety of disciplines relevant to soft matter physics. An important outcome of the workshop has been to identify beautiful and novel scientific problems arising in soft matter that are in need of mathematical modeling and appear amenable to it and so to set the stage for further research. This volume presents a collection of papers representing the key aspects of the topics discussed at depth in the course of the workshop.

Soft condensed matter --- Mathematical models --- Condensed matter --- Matter, Soft (Condensed matter) --- Matter, Soft condensed --- Soft matter (Condensed matter) --- Complex fluids --- Mathematics. --- Applications of Mathematics. --- Math --- Science --- Applied mathematics. --- Engineering mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematics

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All areas of macromolecular and soft matter science and their applications, including polymer synthesis and modification, polymer characterization, nanotechnology, self-assembly, supramolecular chemistry, energy generation and storage, electronics, photonics, sensing, adaptive materials, membranes, renewable and sustainable materials, biomaterials and biomedical applications of polymers.

Polymers --- Soft condensed matter --- Polymers. --- Soft condensed matter. --- Matter, Soft condensed --- Matter, Soft (Condensed matter) --- Soft matter (Condensed matter) --- Condensed matter --- Complex fluids --- Polymere --- Polymeride --- Polymers and polymerization --- Macromolecules --- polymer science --- polymer chemistry --- Polymer