Download or read book Asymptotic Analysis and Singularities Hyperbolic and dispersive PDEs and fluid mechanics written by Hideo Kozono and published by . This book was released on 2007 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the proceedings of the 14th MSJ International Research Institute "Asymptotic Analysis and Singularity", which was held at Sendai, Japan in July 2005. The proceedings contain survey papers and original research papers on nonlinear partial differential equations, dynamical systems, calculus of variations and mathematical physics.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

Download or read book Singularities Formation Structure and Propagation written by J. Eggers and published by Cambridge University Press. This book was released on 2015-09-10 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many key phenomena in physics and engineering are described as singularities in the solutions to the differential equations describing them. Examples covered thoroughly in this book include the formation of drops and bubbles, the propagation of a crack and the formation of a shock in a gas. Aimed at a broad audience, this book provides the mathematical tools for understanding singularities and explains the many common features in their mathematical structure. Part I introduces the main concepts and techniques, using the most elementary mathematics possible so that it can be followed by readers with only a general background in differential equations. Parts II and III require more specialised methods of partial differential equations, complex analysis and asymptotic techniques. The book may be used for advanced fluid mechanics courses and as a complement to a general course on applied partial differential equations.

Download or read book Asymptotic Analysis and Singularities Elliptic and parabolic PDEs and related problems written by Hideo Kozono and published by . This book was released on 2007 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the proceedings of the 14th MSJ International Research Institute "Asymptotic Analysis and Singularity", which was held at Sendai, Japan in July 2005. The proceedings contain survey papers and original research papers on nonlinear partial differential equations, dynamical systems, calculus of variations and mathematical physics.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

Download or read book Random Perturbation of PDEs and Fluid Dynamic Models written by Franco Flandoli and published by Springer Science & Business Media. This book was released on 2011-03-11 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the random perturbation of PDEs and fluid dynamic models. The text describes the role of additive and bilinear multiplicative noise, and includes examples of abstract parabolic evolution equations.

Download or read book Asymptotic Analysis for Nonlinear Dispersive and Wave Equations written by Keiichi Kato and published by Advanced Studies in Pure Mathe. This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is edited as the proceedings of the international conference 'Asymptotic Analysis for Nonlinear Dispersive and Wave Equations' held in September, 2014 at Department of Mathematics, Osaka University, Osaka, Japan. The conference was devoted to the honor of Professor Nakao Hayashi (Osaka University) on the occasion of his 60th birth year, and includes the newest results up to 2017 related to the fields of nonlinear partial differential equations of hyperbolic and dispersive type. In particular, the asymptotic expansion of solutions for those equations has been the main contribution of Professor Hayashi and his collaborators. The contents is 18 papers related to the asymptotic analysis and qualitative research paper concerning the problems of nonlinear wave equations and nonlinear dispersive equations such as nonlinear Schrödinger equations, the Hartree equation, the Camassa-Holm equation, the Ginzburg-Landau equations. Among others, the outstanding method developed by Professor Hayashi and his collaborators is introduced by one of his main collaborator, Professor P I Naumkin.This volume is suitable for any students and young researchers who are starting the research on the asymptotic analysis of nonlinear wave and dispersive equations for knowing the out-lined theory of these fields.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

Download or read book Recent Developments of Mathematical Fluid Mechanics written by Herbert Amann and published by Birkhäuser. This book was released on 2016-03-17 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this proceeding is addressed to present recent developments of the mathematical research on the Navier-Stokes equations, the Euler equations and other related equations. In particular, we are interested in such problems as: 1) existence, uniqueness and regularity of weak solutions2) stability and its asymptotic behavior of the rest motion and the steady state3) singularity and blow-up of weak and strong solutions4) vorticity and energy conservation5) fluid motions around the rotating axis or outside of the rotating body6) free boundary problems7) maximal regularity theorem and other abstract theorems for mathematical fluid mechanics.

Download or read book Asymptotic Treatment of Differential Equations written by A. Georgescu and published by CRC Press. This book was released on 1995-05-15 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main definitions and results of asymptotic analysis and the theory of regular and singular perturbations are summarized in this book. They are applied to the asymptotic study of several mathematical models from mechanics, fluid dynamics, statistical mechanics, meteorology and elasticity. Due to the generality of presentation this applications-oriented book is suitable for the solving of differential equations from any other field of interest.

Download or read book Asymptotic Analysis and the Numerical Solution of Partial Differential Equations written by Hans G. Kaper and published by CRC Press. This book was released on 1991-02-25 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrates two fields generally held to be incompatible, if not downright antithetical, in 16 lectures from a February 1990 workshop at the Argonne National Laboratory, Illinois. The topics, of interest to industrial and applied mathematicians, analysts, and computer scientists, include singular per

Download or read book Singularities and Mixing in Fluid Mechanics written by and published by . This book was released on 2016 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the most important and most difficult open problems in the field of analysis are questions about the behavior of solutions to differential equations modeling the dynamics of fluids. The main issues that one must overcome in addressing them are frequently the nonlinearity and nonlocality of these equations. In this thesis we study these and related models, focusing on the possibility of singularity formation for their solutions as well as on ways such singular behavior can be suppressed. In the first chapter of this thesis, we discuss the small scale creation and possible singularity formation in PDEs of fluid mechanics, especially the Euler equations and the related models. Recently, Tom Hou and Guo Luo proposed a new scenario, so called the hyperbolic flow scenario, for the development of a finite time singularity in solutions to 3D incompressible Euler equation. We first give a clear and understandable picture of hyperbolic flow restricted in 1D. Then, based on the recent work by Alexander Kiselev and Vladimir \v{S}ver\'{a}k, we look into the hyperbolic geometry in 2D. Finally, we go back to 3D problem, and analyze a simplified 1D model for the potential singularity of the 3D Euler equation by Tom Hou and Guo Luo. In the second chapter of this thesis, we investigate the problem about how to suppress the blowup. At the end of the second chapter, we demonstrate that incompressible mixing flow can indeed arrest the finite time blow up phenomenon. We first concentrate on understanding the mechanisms involved in mixing, studying mixing properties of the flows with different structure, and finding most efficient mixing flows. We resolve the problem of finding the optimal lower bound of the ``mixing norm'' under an enstrophy constraint on the velocity field. On the basis of this result, we evaluate the role of mixing in systems where chemotaxis is present. We prove the result that the presence of fluid flow can affect singularity formation by mixing the density thus making concentration harder to achieve. This is an example to show that the fluid advection can regularize singular nonlinear dynamics.

Download or read book Asymptotic Analysis of Singular Perturbations written by W. Eckhaus and published by Elsevier. This book was released on 2011-08-30 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic Analysis of Singular Perturbations

Download or read book Asymptotic Analysis and Boundary Layers written by Jean Cousteix and published by Springer Science & Business Media. This book was released on 2007-03-22 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a new method of asymptotic analysis of boundary-layer problems, the Successive Complementary Expansion Method (SCEM). The first part is devoted to a general presentation of the tools of asymptotic analysis. It gives the keys to understand a boundary-layer problem and explains the methods to construct an approximation. The second part is devoted to SCEM and its applications in fluid mechanics, including external and internal flows.

Download or read book Applied Asymptotic Analysis written by Peter David Miller and published by American Mathematical Soc.. This book was released on 2006 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a survey of asymptotic methods set in the current applied research context of wave propagation. It stresses rigorous analysis in addition to formal manipulations. Asymptotic expansions developed in the text are justified rigorously, and students are shown how to obtain solid error estimates for asymptotic formulae. The book relates examples and exercises to subjects of current research interest, such as the problem of locating the zeros of Taylor polynomials of entirenonvanishing functions and the problem of counting integer lattice points in subsets of the plane with various geometrical properties of the boundary. The book is intended for a beginning graduate course on asymptotic analysis in applied mathematics and is aimed at students of pure and appliedmathematics as well as science and engineering. The basic prerequisite is a background in differential equations, linear algebra, advanced calculus, and complex variables at the level of introductory undergraduate courses on these subjects. The book is ideally suited to the needs of a graduate student who, on the one hand, wants to learn basic applied mathematics, and on the other, wants to understand what is needed to make the various arguments rigorous. Down here in the Village, this is knownas the Courant point of view!! --Percy Deift, Courant Institute, New York Peter D. Miller is an associate professor of mathematics at the University of Michigan at Ann Arbor. He earned a Ph.D. in Applied Mathematics from the University of Arizona and has held positions at the Australian NationalUniversity (Canberra) and Monash University (Melbourne). His current research interests lie in singular limits for integrable systems.

Download or read book Probability and Number Theory Kanazawa 2005 written by Shigeki Akiyama and published by . This book was released on 2007 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the Proceedings of the international conference on Probability and Number Theory held at Kanazawa, Japan, in June 2005, and includes several survey articles on probabilistic number theory, and research papers on various recent topics around the border area between probability theory and number theory. This volume is useful for all researchers and graduate students who are interested in probability theory and number theory.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

Download or read book Primitive Forms and Related Subjects written by Kentaro Hori and published by . This book was released on 2019 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference ``Primitive Forms and Related Subjects'', held at the Kavli Institute for the Physics and Mathematics of the Universe (IPMU), University of Tokyo, February 10-14, 2014. The principal aim of the conference was to discuss the current status of rapidly developing subjects related to primitive forms. In particular, Fukaya category, Gromov-Witten and FJRW invariants, mathematical formulation of Landau-Ginzburg models, and mirror symmetry were discussed. The conference had three introductory courses by.experts and 12 lectures on more advanced topics. This volume volume contains two survey articles and 11 research articles based on the conference presentations.

Download or read book Advances in Discrete Dynamical Systems written by Saber Elaydi and published by Advanced Studies in Pure Mathe. This book was released on 2009 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of talks presented at the 11th International Conference on Difference Equations and Applications (ICDEA 2006). ICDEA 2006 was held on July 2006 in Kyoto at the 15th MSJ International Research Institute. These proceedings comprise new results at the leading edge of many areas in difference equations and discrete dynamical systems and their various applications to the sciences, engineering, physics, and economics.

Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Algebraic Geometry in East Asia written by Kazuhiro Konno and published by . This book was released on 2008 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains two survey articles and eight research articles contributed by the invited lecturers at the conference Algebraic Geometry in East Asia. II, which was held at the Conference Hall (Hanoi, Vietnam) from October 10-14, 2005. Topics touched upon in this volume include Zariski pairs, rational homogeneous manifolds, Kummer surfaces, singularity theory, Cremona groups, algebraic curves, dual varieties, Castelnuovo-Weil lattices, etc. The reader can not only find the current status of a variety of research topics but also enjoy the art of the subjects presented by leading algebraic geometers.