This book provides an overview of essential research on and developments in the electrohydrodynamic (EHD) direct-writing technique and its applications. Firstly, it presents mechano- and helix electrospinning methods to achieve direct writing of straight/serpentine micro/nano fibers in high resolution. Secondly, it examines functional inks and multi nozzle arrays for EHD printing, which are used to efficientlyform patterns and devices. Thirdly, the book discusses the various control methods adopted in the context of EHD to improve the controllability of the electrospun fibers. Lastly, it addresses the equipment used in EHD printing and its applications, while also outlining challenges for the field’s future development. Combining academic and industrial viewpoints, the book provides in-depth information for experienced researchers, as well as a valuable guide for those just entering the field.
Dirichlet forms and Markov semigroups on non-associative vector bundles by C.-H. Chu and Z. Qian Decomposition principle and random cascades by A. H. Fan and J.P. Kahane Holomorphic motions and normal forms in complex analysis by Y. Jiang On pseudo-Hermitian CR manifolds by S.-Y. Li Recent progress on the Dirichlet problem in Lipschitz domains by Z. Shen Refinable functions with non-integer Dilations by X.-R. Dai, D.-J. Feng, and Y. Wang On Whitney's critical sets by Z.-Y. Wen and L.-F. Xi Applications of Nevanlinna theory to geometric problems by P.-M. Wong Some results on Smale's mean value conjecture by Y. Wang Localized non-blowup conditions for the 3D incompressible Euler equations by J. Deng, T. Y. Hou, and X. Yu Separation of bound state solutions of systems of nonlinear Schrodinger equations by T.-C. Lin and Y.-W. Hsu The $C^\alpha$ regularity of a class of ultraparabolic equations by Z. Liqun Stability of basic wave patterns for gas motions by T. Yang and H.-J. Zhao On strong near-epoch dependence by Z. Lin Multifractal analysis of branching measure on a Galton-Watson tree by P. Morters and N.-R. Shieh Convex duality theory for optimal investment by J. Xia and J.-A. Yan Backward stochastic Volterra integral equations by J. Yong Set addition and set multiplication by M.-C. Chang Collineation groups of translation planes by C. Y. Ho Intelligent and informative scientific computing, trends and examples by Q. Du Scattered data interpolation by box splines by Z. Shen and S. Waldron Piecewise function generated by the solutions of linear ordinary differential equation by Z. Wu Step-sizes for the gradient method by Y.-X. Yuan Number-theoretic methods in experimental designs by K.-T. Fang and Y. Wang Ear modeling and sound signal processing by J. Xin The mathematical problem of inertial waves in rapidly rotating planets and stars by X. Liao and K. Zhang Mathematics, mathematics education and the mouse by S. M. Keung
This volume resulted from a year-long program at the Morningside Center of Mathematics at the Academia Sinica in Beijing. It presents an overview of nonlinear conversation laws and introduces developments in this expanding field. Zhouping Xin's introductory overview of the subject is followed by lecture notes of leading experts who have made fundamental contributions to this field of research. A. Bressan's theory of $-well-posedness for entropy weak solutions to systems of nonlinear hyperbolic conversation laws in the class of viscosity solutions is one of the most important results in the past two decades; G. Chen discusses weak convergence methods and various applications to many problems; P. Degond details mathematical modelling of semi-conductor devices; B. Perthame describes the theory of asymptotic equivalence between conservation laws and singular kinetic equations; Z. Xin outlines the recent development of the vanishing viscosity problem and nonlinear stability of elementary wave-a major focus of research in the last decade; and the volume concludes with Y. Zheng's lecture on incompressible fluid dynamics. This collection of lectures represents previously unpublished expository and research results of experts in nonlinear conservation laws and is an excellent reference for researchers and advanced graduate students in the areas of nonlinear partial differential equations and nonlinear analysis. Titles in this series are co-published with International Press, Cambridge, MA.
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