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Mathematics and Mathematical Physics a Special Collection Bridging the Gap Between Mathematics and Physics Iopscience.Org/Maths-And-Physics Contents mathematics and mathematical physics A special collection bridging the gap between mathematics and physics iopscience.org/maths-and-physics contents Introduction 3 Fluid Dynamics Research 4 Inverse Problems 6 Journal of Physics A: Mathematical and Theoretical 8 Journal of Statistical Mechanics: Theory and Experiment 10 Nonlinearity 12 Physics World 14 Additional content 16 How to submit your mathematical physics research 19 Stay up to date on this subject area by Are you interested in other areas of science? visiting our online collection at Visit our subject collections homepage to explore iopscience.org/maths-and-physics similar collections in other key topics New articles, special issues, videos and news will iopscience.org/subjects be updated regularly mathematics and mathematical physics The development of our theoretical understanding of the physical world involves a constant flow of ideas, techniques and applications, to and fro, between mathematics and physics. To illustrate this dynamic interaction between disciplines, we are pleased to present this collection of research articles drawn from across the portfolio of mathematically rich journals published by IOP Publishing and its partners. The subject matter ranges from fluid dynamics and inverse problems, through nonlinear dynamics and statistical mechanics, to string theory and complex and chaotic systems. However, all these papers represent excellent examples of how theoretical analysis brings insight to physical phenomena. As in previous collections, we are also pleased to present relevant content from Physics World: the member magazine from the Institute of Physics. The online version of this collection will be updated regularly, so make sure you bookmark the link: iopscience.org/maths- and-physics. For more research on other topical areas, visit iopscience.org/subjects. iopscience.org/maths-and-physics 3 Fluid Dynamics Research Fluid Dynamics Research (FDR) publishes work at the forefront of fundamental fluid dynamics. The journal maintains a high quality threshold and aims to publish innovative and highly interesting research in all aspects of fundamental fluid dynamics. The journal is owned by the Japan Society of Fluid Mechanics and published on their behalf by IOP Publishing. The scope of the journal includes theoretical, numerical and experimental studies that contribute to the fundamental understanding and/or application of fluid phenomena. The articles selected here are examples of the breadth and Did you know? quality of the research published in the journal. For example FDR offers accelerated ‘The finite-difference lattice Boltzmann method and its publication – papers appear application in computational aero-acoustics’ by Michihisa online as soon as they are ready Tsutahara was awarded the FDR Prize for 2013. This prize is (on average within 30 days of awarded to an article published in the previous year that has acceptance) been selected by the Editorial Board. The article must contain rigorous scientific work, be highly novel, exhibit a significant Did you know? advancement to the field, and above all be an extremely interesting read. The prize is announced in an editorial The FDR Highlights of 2012 are published in the journal along with an announcement on the available online from the journal journal homepage. The author(s) of the winning article are homepage. All of the articles presented with a certificate and plaque by the Japan Society are free to read until the end of 2013 of Fluid Mechanics. iopscience.org/fdr Published in partnership with: The Japan Society of Fluid Mechanics 4 iopscience.org/maths-and-physics FEATURED ARTICLE Lattice Boltzmann methods for complex micro-flows: applicability and limitations for practical applications K Suga 2013 Fluid Dyn. Res. 45 034501 Abstract The extensive evaluation studies of the lattice Boltzmann method for micro-scale flows (μ-flow LBM) by the author’s group are summarized. For the two-dimensional test cases, force-driven Poiseuille flows, Couette flows, a combined nanochannel flow, and flows in a nanochannel with a square- or triangular cylinder are discussed. The three-dimensional (3D) test cases are nano-mesh flows and a flow between 3D bumpy walls. The reference data for the complex test flow geometries are from the molecular dynamics simulations of the Lennard-Jones fluid by the author’s group. The focused flows are mainly in the slip and a part of the transitional flow regimes atKn < 1. The evaluated schemes of the μ-flow LBMs are the lattice Bhatnagar–Gross–Krook and the multiple-relaxation time LBMs with several boundary conditions and discrete velocity models. The effects of the discrete velocity models, the wall boundary conditions, the near-wall correction models of the molecular mean free path and the regularization process are discussed to confirm the applicability and the limitations of the μ-flow LBMs for complex flow geometries. MORE HIGH-INTEREST ARTICLES The finite-difference lattice Boltzmann method and its application in computational aero-acoustics Michihisa Tsutahara 2012 Fluid Dyn. Res. 44 045507 On the swimming motion of spheroidal magnetotactic bacteria Zhen Cui, Dali Kong, Yongxin Pan and Keke Zhang 2012 Fluid Dyn. Res. 44 055508 Nonlinear streak computation using boundary region equations J A Martín and C Martel 2012 Fluid Dyn. Res. 44 045503 Elastic capsule deformation in general irrotational linear flows Alex C Szatmary and Charles D Eggleton 2012 Fluid Dyn. Res. 44 055503 ) To read the full articles, visit iopscience.org/maths-and-physics iopscience.org/maths-and-physics 5 Inverse Problems Inverse Problems is an interdisciplinary journal combining mathematical and experimental papers on inverse problems with numerical and practical approaches to their solution. As well as applied mathematicians, physical scientists and engineers, the readership includes those working in geophysics, radar, optics, biology, acoustics, communication theory, signal processing and imaging. The work published in Inverse Problems always has a firm footing in mathematics with the development and application Did you know? of novel inverse mathematical techniques at the heart of the journal. As exemplified by the articles collected here, inverse Inverse Problems offers an open techniques are increasingly finding new applications such access option called hybrid as in quantum mechanics, object identification, system open access; for more details modelling and medical imaging. visit our homepage The journal has an active programme of special issues with the next addition focused on transmission eigenvalues. We Did you know? also recognise the value of review articles to the community; Inverse Problems articles we have worked with many leading authors to publish were downloaded more than review articles such as ‘Sparsity regularization for parameter 150 000 times in 2012 identification problems’, ‘Fixed domain approaches in shape optimization problems’ and ‘Inverse problems in ion channel modelling’. iopscience.org/ip 6 iopscience.org/maths-and-physics FEATURED ARTICLE Identification of multiple moving pollution sources in surface waters or atmospheric media with boundary observations M Andrle and A El Badia 2012 Inverse Problems 28 075009 Abstract We consider the inverse problem of identifying multiple moving pollution sources in a linear advection–dispersion–reaction equation. Although we consider the specific application of pollution source identification in surface waters or atmospheric media, this problem has many other important applications in ecological and diffusive systems. We establish an identifiability result using observations on a non-empty subset of the domain boundary and develop an identification method by reformulating the inverse problem into a minimization problem. Finally, we provide numerical results to support the theoretical results. MORE HIGH-INTEREST ARTICLES Sparse regularization of inverse gravimetry—case study: spatial and temporal mass variations in South America D Fischer and V Michel 2012 Inverse Problems 28 065012 On the inverse problems for the coupled continuum pipe flow model for flows in karst aquifers Shuai Lu, Nan Chen, Bang Hu and Jin Cheng 2012 Inverse Problems 28 065003 Data inversion in coupled subsurface flow and geomechanics models Marco A Iglesias and Dennis McLaughlin 2012 Inverse Problems 28 115009 Localization of small obstacles in Stokes flow Fabien Caubet and Marc Dambrine 2012 Inverse Problems 28 105007 ) To read the full articles, visit iopscience.org/maths-and-physics iopscience.org/maths-and-physics 7 Journal of Physics A: Mathematical and Theoretical Journal of Physics A: Mathematical and Theoretical is a major journal of theoretical physics reporting research on the mathematical structures that describe fundamental processes of the physical world and on the analytical, computational and numerical methods for exploring these structures. The journal has a broad scope and is a meeting place for researchers to share mathematically rich work across different disciplines. It covers all aspects of mathematical physics ranging from quantum mechanics to statistical physics and all the way through to quantum field theory and string theory, as Did you know? well as more interdisciplinary topics such as fluid and plasma Since 2009, Journal of theory and network dynamics. Physics A has awarded a Best As well as high-quality original research papers and Fast Paper Prize, which serves to Track Communications, Journal of Physics A also publishes celebrate
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