Nonlinear Theory Of Pseudodifferential Equations On A Half Line
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Nonlinear Theory Of Pseudodifferential Equations On A Half Line
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Author : Nakao Hayashi
language : en
Publisher: Gulf Professional Publishing
Release Date : 2004-01-13
Nonlinear Theory Of Pseudodifferential Equations On A Half Line written by Nakao Hayashi and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-13 with Mathematics categories.
This book is the first attempt to develop systematically a general theory of the initial-boundary value problems for nonlinear evolution equations with pseudodifferential operators Ku on a half-line or on a segment. We study traditionally important problems, such as local and global existence of solutions and their properties, in particular much attention is drawn to the asymptotic behavior of solutions for large time. Up to now the theory of nonlinear initial-boundary value problems with a general pseudodifferential operator has not been well developed due to its difficulty. There are many open natural questions. Firstly how many boundary data should we pose on the initial-boundary value problems for its correct solvability? As far as we know there are few results in the case of nonlinear nonlocal equations. The methods developed in this book are applicable to a wide class of dispersive and dissipative nonlinear equations, both local and nonlocal. · For the first time the definition of pseudodifferential operator on a half-line and a segment is done · A wide class of nonlinear nonlocal and local equations is considered · Developed theory is general and applicable to different equations · The book is written clearly, many examples are considered · Asymptotic formulas can be used for numerical computations by engineers and physicists · The authors are recognized experts in the nonlinear wave phenomena
Asymptotics For Dissipative Nonlinear Equations
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Author : Nakao Hayashi
language : en
Publisher: Springer
Release Date : 2006-08-23
Asymptotics For Dissipative Nonlinear Equations written by Nakao Hayashi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-23 with Mathematics categories.
This is the first book in world literature giving a systematic development of a general asymptotic theory for nonlinear partial differential equations with dissipation. Many typical well-known equations are considered as examples, such as: nonlinear heat equation, KdVB equation, nonlinear damped wave equation, Landau-Ginzburg equation, Sobolev type equations, systems of equations of Boussinesq, Navier-Stokes and others.
Theory And Applications Of Fractional Differential Equations
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Author : A.A. Kilbas
language : en
Publisher: Elsevier
Release Date : 2006-02-16
Theory And Applications Of Fractional Differential Equations written by A.A. Kilbas and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-16 with Mathematics categories.
This work aims to present, in a systematic manner, results including the existence and uniqueness of solutions for the Cauchy Type and Cauchy problems involving nonlinear ordinary fractional differential equations.
Differential And Integral Equations
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Author :
language : en
Publisher:
Release Date : 2009
Differential And Integral Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Differential equations categories.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2008
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
The British National Bibliography
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Author : Arthur James Wells
language : en
Publisher:
Release Date : 2004
The British National Bibliography written by Arthur James Wells and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Bibliography, National categories.
Sut Journal Of Mathematics
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Author :
language : en
Publisher:
Release Date : 2004
Sut Journal Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Fractional Calculus From Theory To Applications
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Author : Christos Volos
language : en
Publisher: BoD – Books on Demand
Release Date : 2025-05-28
Fractional Calculus From Theory To Applications written by Christos Volos and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-28 with Mathematics categories.
Over the last decade, research activity in the field of fractional calculus has surged, resulting in applications across a wide range of scientific disciplines. From the physics of diffusion and transport phenomena to control theory and financial systems, fractional calculus has proven valuable in numerous domains, capturing the interest of the scientific community. Therefore, this book comprises six chapters, each with the purpose of providing a brief overview of the subject of fractional calculus and its recent developments in theory and applications. This book aims to serve as an updated and handy reference for university professors, graduate students, laboratory researchers, as well as physicists and applied mathematicians who are interested in studying fractional calculus and its applications.
Small Divisor Problem In The Theory Of Three Dimensional Water Gravity Waves
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Author : Grard Iooss
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-06-05
Small Divisor Problem In The Theory Of Three Dimensional Water Gravity Waves written by Grard Iooss and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-05 with Science categories.
The authors consider doubly-periodic travelling waves at the surface of an infinitely deep perfect fluid, only subjected to gravity $g$ and resulting from the nonlinear interaction of two simply periodic travelling waves making an angle $2\theta$ between them. Denoting by $\mu =gL/c^{2}$ the dimensionless bifurcation parameter ( $L$ is the wave length along the direction of the travelling wave and $c$ is the velocity of the wave), bifurcation occurs for $\mu = \cos \theta$. For non-resonant cases, we first give a large family of formal three-dimensional gravity travelling waves, in the form of an expansion in powers of the amplitudes of two basic travelling waves. ``Diamond waves'' are a particular case of such waves, when they are symmetric with respect to the direction of propagation. The main object of the paper is the proof of existence of such symmetric waves having the above mentioned asymptotic expansion. Due to the occurence of small divisors, the main difficulty is the inversion of the linearized operator at a non trivial point, for applying the Nash Moser theorem. This operator is the sum of a second order differentiation along a certain direction, and an integro-differential operator of first order, both depending periodically of coordinates. It is shown that for almost all angles $\theta$, the 3-dimensional travelling waves bifurcate for a set of ``good'' values of the bifurcation parameter having asymptotically a full measure near the bifurcation curve in the parameter plane $(\theta,\mu ).$
An Index And Other Useful Information
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Author : A. Dold
language : en
Publisher: Springer
Release Date : 2013-12-11
An Index And Other Useful Information written by A. Dold and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-11 with Mathematics categories.