On Pseudoconformal Blow Up Solutions To The Self Dual Chern Simons Schr Dinger Equation Existence Uniqueness And Instability


On Pseudoconformal Blow Up Solutions To The Self Dual Chern Simons Schr Dinger Equation Existence Uniqueness And Instability
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On Pseudoconformal Blow Up Solutions To The Self Dual Chern Simons Schr Dinger Equation Existence Uniqueness And Instability


On Pseudoconformal Blow Up Solutions To The Self Dual Chern Simons Schr Dinger Equation Existence Uniqueness And Instability
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Author : Kihyun Kim
language : en
Publisher: American Mathematical Society
Release Date : 2023-04-07

On Pseudoconformal Blow Up Solutions To The Self Dual Chern Simons Schr Dinger Equation Existence Uniqueness And Instability written by Kihyun Kim and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-07 with Mathematics categories.


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Self Dual Chern Simons Theories


Self Dual Chern Simons Theories
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Author : Gerald Dunne
language : en
Publisher:
Release Date : 1995

Self Dual Chern Simons Theories written by Gerald Dunne and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.




Hyperbolic Systems With Analytic Coefficients


Hyperbolic Systems With Analytic Coefficients
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Author : Tatsuo Nishitani
language : en
Publisher: Springer
Release Date : 2013-11-19

Hyperbolic Systems With Analytic Coefficients written by Tatsuo Nishitani and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-19 with Mathematics categories.


This monograph focuses on the well-posedness of the Cauchy problem for linear hyperbolic systems with matrix coefficients. Mainly two questions are discussed: (A) Under which conditions on lower order terms is the Cauchy problem well posed? (B) When is the Cauchy problem well posed for any lower order term? For first order two by two systems with two independent variables with real analytic coefficients, we present complete answers for both (A) and (B). For first order systems with real analytic coefficients we prove general necessary conditions for question (B) in terms of minors of the principal symbols. With regard to sufficient conditions for (B), we introduce hyperbolic systems with nondegenerate characteristics, which contain strictly hyperbolic systems, and prove that the Cauchy problem for hyperbolic systems with nondegenerate characteristics is well posed for any lower order term. We also prove that any hyperbolic system which is close to a hyperbolic system with a nondegenerate characteristic of multiple order has a nondegenerate characteristic of the same order nearby.



Abstract Cauchy Problems


Abstract Cauchy Problems
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Author : Irina V. Melnikova
language : en
Publisher: CRC Press
Release Date : 2001-03-27

Abstract Cauchy Problems written by Irina V. Melnikova and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-27 with Mathematics categories.


Although the theory of well-posed Cauchy problems is reasonably understood, ill-posed problems-involved in a numerous mathematical models in physics, engineering, and finance- can be approached in a variety of ways. Historically, there have been three major strategies for dealing with such problems: semigroup, abstract distribution, and regularizat



28th International Symposium On Shock Waves


28th International Symposium On Shock Waves
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Author : Konstantinos Kontis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-03-22

28th International Symposium On Shock Waves written by Konstantinos Kontis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-22 with Science categories.


The University of Manchester hosted the 28th International Symposium on Shock Waves between 17 and 22 July 2011. The International Symposium on Shock Waves first took place in 1957 in Boston and has since become an internationally acclaimed series of meetings for the wider Shock Wave Community. The ISSW28 focused on the following areas: Blast Waves, Chemically Reacting Flows, Dense Gases and Rarefied Flows, Detonation and Combustion, Diagnostics, Facilities, Flow Visualisation, Hypersonic Flow, Ignition, Impact and Compaction, Multiphase Flow, Nozzle Flow, Numerical Methods, Propulsion, Richtmyer-Meshkov, Shockwave Boundary Layer Interaction, Shock Propagation and Reflection, Shock Vortex Interaction, Shockwave Phenomena and Applications, as well as Medical and Biological Applications. The two Volumes contain the papers presented at the symposium and serve as a reference for the participants of the ISSW 28 and individuals interested in these fields.



Acoustical Imaging


Acoustical Imaging
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Author : Andrzej Nowicki
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-23

Acoustical Imaging written by Andrzej Nowicki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-23 with Science categories.


The International Symposium on Acoustical Imaging is a unique forum for advanced research, covering new technologies, developments, methods and theories in all areas of acoustics. This interdisciplinary Symposium has been taking place continuously since 1968. In the course of the years the proceedings volumes in the Acoustical Imaging Series have become a reference for cutting-edge research in the field. In 2011 the 31st International Symposium on Acoustical Imaging was held in Warsaw, Poland, April 10-13. Offering both a broad perspective on the state-of-the-art as well as in-depth research contributions by the specialists in the field, this Volume 31 in the Series contains an excellent collection of papers in six major categories: Biological and Medical Imaging Physics and Mathematics of Acoustical Imaging Acoustic Microscopy Transducers and Arrays Nondestructive Evaluation and Industrial Applications Underwater Imaging



Nonlinear Evolution Equations Solvable By The Spectral Transform


Nonlinear Evolution Equations Solvable By The Spectral Transform
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Author : F. Calogero
language : en
Publisher: Pitman Publishing
Release Date : 1978

Nonlinear Evolution Equations Solvable By The Spectral Transform written by F. Calogero and has been published by Pitman Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.


The volume contains the text of the invited lectures presented at the International Symposium on "Nonlinear Evolution Equations Solvable by the Inverse Spectral Transform", that took place at the Accademia dei Lincei in Rome from June 15 through June 18, 1977. It introduces an important mathematical technique based on the spectral transform and relevant to the solution of nonlinear evolution equations. These texts will be of particular value to theoretical physicists (in plasma, nonlinear optics, hydrodynamics, solid state and elementary particles); applied mathematicians interested in nonlinear evolution equations; and pure mathematicians interested in algebraic and differential geometry.



Spectral And Dynamical Stability Of Nonlinear Waves


Spectral And Dynamical Stability Of Nonlinear Waves
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Author : Todd Kapitula
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-06

Spectral And Dynamical Stability Of Nonlinear Waves written by Todd Kapitula and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-06 with Mathematics categories.


This book unifies the dynamical systems and functional analysis approaches to the linear and nonlinear stability of waves. It synthesizes fundamental ideas of the past 20+ years of research, carefully balancing theory and application. The book isolates and methodically develops key ideas by working through illustrative examples that are subsequently synthesized into general principles. Many of the seminal examples of stability theory, including orbital stability of the KdV solitary wave, and asymptotic stability of viscous shocks for scalar conservation laws, are treated in a textbook fashion for the first time. It presents spectral theory from a dynamical systems and functional analytic point of view, including essential and absolute spectra, and develops general nonlinear stability results for dissipative and Hamiltonian systems. The structure of the linear eigenvalue problem for Hamiltonian systems is carefully developed, including the Krein signature and related stability indices. The Evans function for the detection of point spectra is carefully developed through a series of frameworks of increasing complexity. Applications of the Evans function to the Orientation index, edge bifurcations, and large domain limits are developed through illustrative examples. The book is intended for first or second year graduate students in mathematics, or those with equivalent mathematical maturity. It is highly illustrated and there are many exercises scattered throughout the text that highlight and emphasize the key concepts. Upon completion of the book, the reader will be in an excellent position to understand and contribute to current research in nonlinear stability.



Application Of Geometric Algebra To Electromagnetic Scattering


Application Of Geometric Algebra To Electromagnetic Scattering
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Author : Andrew Seagar
language : en
Publisher: Springer
Release Date : 2015-11-20

Application Of Geometric Algebra To Electromagnetic Scattering written by Andrew Seagar and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-20 with Technology & Engineering categories.


This work presents the Clifford-Cauchy-Dirac (CCD) technique for solving problems involving the scattering of electromagnetic radiation from materials of all kinds. It allows anyone who is interested to master techniques that lead to simpler and more efficient solutions to problems of electromagnetic scattering than are currently in use. The technique is formulated in terms of the Cauchy kernel, single integrals, Clifford algebra and a whole-field approach. This is in contrast to many conventional techniques that are formulated in terms of Green's functions, double integrals, vector calculus and the combined field integral equation (CFIE). Whereas these conventional techniques lead to an implementation using the method of moments (MoM), the CCD technique is implemented as alternating projections onto convex sets in a Banach space. The ultimate outcome is an integral formulation that lends itself to a more direct and efficient solution than conventionally is the case, and applies without exception to all types of materials. On any particular machine, it results in either a faster solution for a given problem or the ability to solve problems of greater complexity. The Clifford-Cauchy-Dirac technique offers very real and significant advantages in uniformity, complexity, speed, storage, stability, consistency and accuracy.



Operator Theory Analysis And Mathematical Physics


Operator Theory Analysis And Mathematical Physics
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Author : Jan Janas
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-29

Operator Theory Analysis And Mathematical Physics written by Jan Janas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-29 with Mathematics categories.


This volume contains lectures delivered at the International Conference Operator Theory and its Applications in Mathematical Physics (OTAMP 2004), held at the Mathematical Research and Conference Center in Bedlewo near Poznan, Poland. The idea behind these lectures was to present interesting ramifications of operator methods in current research of mathematical physics.