## Mathematical Research in Materials Science: Opportunities and PerspectivesThis book describes fruitful past collaborations between the mathematical and materials sciences and indicates future challenges. It seeks both to encourage mathematical sciences research that will complement vital research in materials science and to raise awareness of the value of quantitative methods. The volume encourages both communities to increase cross-disciplinary collaborations, emphasizing that each has much to gain from such an increase, and it presents recommendations for facilitating such work. This book is written for both mathematical and materials science researchers interested in advancing research at this interface; for federal and state agency representatives interested in encouraging such collaborations; and for anyone wanting information on how such cross-disciplinary, collaborative efforts can be accomplished successfully. |

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algorithms analysis applications approach approximation asymptotic atoms behavior block copolymers Cahn calculations Chapter Chem collaboration complex composite configurations constitutive equations continuum defects deformation dendritic density functional theory describing developed diffusion dislocations Dudowicz effective elastic equilibrium evolution example experimental field flow fluid formulation fracture geometry grain boundaries important instabilities interactions interface involve issues K. F. Freed kinetics length scales linear liquid crystalline polymers liquid crystals Luskin Macromolecules macroscopic magnetic martensite materials research materials science materials scientists mathematical challenges mathematical sciences mathematical scientists mathematicians Mech Metall methods microstructure molecular dynamics molecules motion National Research Council nematic Non-Newtonian Fluid nonlinear optical numerical optimization parallel computers parameters partial differential equations particles phase transition phenomena Phys physical plastic polymeric potential predict problems processing properties protein quantum recent sciences research semiconductor shape solid solidification solutions spatial statistical mechanics stress superconducting surface energy techniques Technology temperature theoretical University viscoelastic York