Continuous Dependence and Uniqueness in Cauchy's Problem for First Order, Non-linear, Partial Differential Equations, Part Ii PDF Download
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Author: Avron Douglis
Publisher:
ISBN:
Category : Differential equations, Nonlinear
Languages : en
Pages : 24
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Book Description
Author: Avron Douglis
Publisher:
ISBN:
Category : Differential equations, Nonlinear
Languages : en
Pages : 24
Get Book Here
Book Description
Author: Avron Douglis
Publisher:
ISBN:
Category : Differential equations, Nonlinear
Languages : en
Pages : 30
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Book Description
Author: Avron Douglis
Publisher:
ISBN:
Category : Differential equations, Nonlinear
Languages : en
Pages : 30
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Book Description
Author: Hyun-Ku Rhee
Publisher: Courier Corporation
ISBN: 0486150364
Category : Mathematics
Languages : en
Pages : 582
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Book Description
Second volume of a highly regarded two-volume set, fully usable on its own, examines physical systems that can usefully be modeled by equations of the first order. Examples are drawn from a wide range of scientific and engineering disciplines. The book begins with a consideration of pairs of quasilinear hyperbolic equations of the first order and goes on to explore multicomponent chromatography, complications of counter-current moving-bed adsorbers, the adiabatic adsorption column, and chemical reaction in countercurrent reactors. Exercises appear at the end of most sections. Accessible to anyone with a thorough grounding in undergraduate mathematics — ideally including volume 1 of this set. 1989 edition. 198 black-and-white illustrations. Author and subject indices.
Author: Olga Oleinik
Publisher: Taylor & Francis
ISBN: 1000943984
Category : Mathematics
Languages : en
Pages : 568
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Book Description
This book contains the major works of Ivan Georgievich Petrowsky on systems of partial differential equations and algebraic geometry. The articles are of crucial importance for the topology of real algebraic manifolds and are the source of intensive development of theory of real algebraic manifolds.
Author: Gui-Qiang Chen
Publisher: American Mathematical Soc.
ISBN: 0821835335
Category : Mathematics
Languages : en
Pages : 336
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Book Description
The Emphasis Year on Nonlinear Partial Differential Equations and Related Analysis at Northwestern University produced this fine collection of original research and survey articles. Many well-known mathematicians attended the events and submitted their contributions for this volume. Eighteen papers comprise this work, representing the most significant advances and current trends in nonlinear PDEs and their applications. Topics covered include elliptic and parabolic equations, NavierStokes equations, and hyperbolic conservation laws. Important applications are presented from incompressible and compressible fluid mechanics, combustion, and electromagnetism. Also included are articles on recent advances in statistical reliability in modeling, simulation, level set methods forimage processing, shock waves, free boundaries, boundary layers, errors in numerical solutions, stability, instability, and singular limits. The volume is suitable for researchers and graduate students interested in partial differential equations.
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 592
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Book Description
Author: William F. Ames
Publisher: Elsevier
ISBN: 008053774X
Category : Mathematics
Languages : en
Pages : 319
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Book Description
Written by two international experts in the field, this book is the first unified survey of the advances made in the last 15 years on key non-standard and improperly posed problems for partial differential equations.This reference for mathematicians, scientists, and engineers provides an overview of the methodology typically used to study improperly posed problems. It focuses on structural stability--the continuous dependence of solutions on the initial conditions and the modeling equations--and on problems for which data are only prescribed on part of the boundary. The book addresses continuous dependence on initial-time and spatial geometry and on modeling backward and forward in time. It covers non-standard or non-characteristic problems, such as the sideways problem for a heat or hyberbolic equation and the Cauchy problem for the Laplace equation and other elliptic equations. The text also presents other relevant improperly posed problems, including the uniqueness and continuous dependence for singular equations, the spatial decay in improperly posed parabolicproblems, the uniqueness for the backward in time Navier-Stokes equations on an unbounded domain, the improperly posed problems for dusty gases, the linear thermoelasticity, and the overcoming Holder continuity and image restoration. Provides the first unified survey of the advances made in the last 15 years in the field Includes an up-to-date compendium of the mathematical literature on these topics
Author: Library of Congress. Science and Technology Division
Publisher:
ISBN:
Category : Military research
Languages : en
Pages : 1176
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Book Description
Author: Sergio Albeverio
Publisher: Birkhäuser
ISBN: 3034880731
Category : Mathematics
Languages : en
Pages : 444
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Book Description
This volume focuses on recent developments in non-linear and hyperbolic equations. It will be a most valuable resource for researchers in applied mathematics, the theory of wavelets, and in mathematical and theoretical physics. Nine up-to-date contributions have been written on invitation by experts in the respective fields. The book is the third volume of the subseries "Advances in Partial Differential Equations".
