a stability technique for evolution partial differential equations a dynamical systems approach progress in nonlinear differential equations and their applications

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A Stability Technique For Evolution Partial Differential Equations

Author : Victor A. Galaktionov
ISBN : 9781461220503
Genre : Mathematics
File Size : 72. 63 MB
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* Introduces a state-of-the-art method for the study of the asymptotic behavior of solutions to evolution partial differential equations. * Written by established mathematicians at the forefront of their field, this blend of delicate analysis and broad application is ideal for a course or seminar in asymptotic analysis and nonlinear PDEs. * Well-organized text with detailed index and bibliography, suitable as a course text or reference volume.

Evolution Pdes With Nonstandard Growth Conditions

Author : Stanislav Antontsev
ISBN : 9789462391123
Genre : Mathematics
File Size : 49. 24 MB
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This monograph offers the reader a treatment of the theory of evolution PDEs with nonstandard growth conditions. This class includes parabolic and hyperbolic equations with variable or anisotropic nonlinear structure. We develop methods for the study of such equations and present a detailed account of recent results. An overview of other approaches to the study of PDEs of this kind is provided. The presentation is focused on the issues of existence and uniqueness of solutions in appropriate function spaces and on the study of the specific qualitative properties of solutions, such as localization in space and time, extinction in a finite time and blow-up, or nonexistence of global in time solutions. Special attention is paid to the study of the properties intrinsic to solutions of equations with nonstandard growth.

Recent Trends In Nonlinear Partial Differential Equations I

Author : James B. Serrin
ISBN : 9780821887363
Genre : Mathematics
File Size : 48. 4 MB
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This book is the first of two volumes which contain the proceedings of the Workshop on Nonlinear Partial Differential Equations, held from May 28-June 1, 2012, at the University of Perugia in honor of Patrizia Pucci's 60th birthday. The workshop brought t

Nonlinear Elliptic And Parabolic Problems

Author : Michel Chipot
ISBN : 3764372664
Genre : Mathematics
File Size : 25. 16 MB
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The book offers an overview of some of the most important developments in the field of nonlinear analysis, including bifurcation theory, dynamical properties of parabolic semiflows, fluid dynamics, and degenerate parabolic problems.

The Porous Medium Equation

Author : Juan Luis Vazquez
ISBN : UVA:X030107335
Genre : Mathematics
File Size : 45. 16 MB
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Aimed at research students and academics in mathematics and engineering, as well as engineering specialists, this book provides a systematic and comprehensive presentation of the mathematical theory of the nonlinear heat equation usually called the Porous Medium Equation.

Recent Advances In Differential Equations

Author : Roberto Conti
ISBN : 9781483273914
Genre : Mathematics
File Size : 35. 65 MB
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Recent Advances in Differential Equations contains the proceedings of a meeting held at the International Center for Theoretical Physics in Trieste, Italy, on August 24-28, 1978 under the auspices of the U.S. Army Research Office. The papers review the status of research in the field of differential equations (ordinary, partial, and functional). Both theoretical aspects (differential operators, periodic solutions, stability and bifurcation, asymptotic behavior of solutions, etc.) and problems arising from applications (reaction-diffusion equations, control problems, heat flow, etc.) are discussed. Comprised of 33 chapters, this book first examines non-cooperative trajectories of n-person dynamical games and stable non-cooperative equilibria, followed by a discussion on the determination and application of Vekua resolvents. The reader is then introduced to generalized Hopf bifurcation; some Cauchy problems arising in computational methods; and boundary value problems for pairs of ordinary differential operators. Subsequent chapters focus on degenerate evolution equations and singular optimal control; stability of neutral functional differential equations; local exact controllability of nonlinear evolution equations; and turbulence and higher order bifurcations. This monograph will be of interest to students and practitioners in the field of mathematics.

Stability Of Dynamical Systems

Author : Xiaoxin Liao
ISBN : 0080550614
Genre : Mathematics
File Size : 48. 46 MB
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The main purpose of developing stability theory is to examine dynamic responses of a system to disturbances as the time approaches infinity. It has been and still is the object of intense investigations due to its intrinsic interest and its relevance to all practical systems in engineering, finance, natural science and social science. This monograph provides some state-of-the-art expositions of major advances in fundamental stability theories and methods for dynamic systems of ODE and DDE types and in limit cycle, normal form and Hopf bifurcation control of nonlinear dynamic systems. Presents comprehensive theory and methodology of stability analysis Can be used as textbook for graduate students in applied mathematics, mechanics, control theory, theoretical physics, mathematical biology, information theory, scientific computation Serves as a comprehensive handbook of stability theory for practicing aerospace, control, mechanical, structural, naval and civil engineers


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ISBN : MINN:31951P010690640
Genre : Mathematical analysis
File Size : 54. 56 MB
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Advances In Differential Equations

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ISBN : UOM:39015072629820
Genre : Differential equations
File Size : 37. 76 MB
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Research In Progress

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ISBN : STANFORD:36105211202440
Genre : Military research
File Size : 81. 53 MB
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