Evolution Equations and Their Applications in Physical and Life Sciences
Evolution Equations and Their Applications in Physical and Life Sciences

Author: G Lumer

Publisher: CRC Press

Published: 2019-04-24

Total Pages: 530

ISBN-13: 1482277484

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This volume presents a collection of lectures on linear partial differntial equations and semigroups, nonlinear equations, stochastic evolutionary processes, and evolution problems from physics, engineering and mathematical biology. The contributions come from the 6th International Conference on Evolution Equations and Their Applications in Physica

Evolution Equations and Their Applications in Physical and Life Sciences
Evolution Equations and Their Applications in Physical and Life Sciences

Author: G Lumer

Publisher: CRC Press

Published: 2000-11-08

Total Pages: 534

ISBN-13: 9780824790103

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This volume presents a collection of lectures on linear partial differntial equations and semigroups, nonlinear equations, stochastic evolutionary processes, and evolution problems from physics, engineering and mathematical biology. The contributions come from the 6th International Conference on Evolution Equations and Their Applications in Physical and Life Sciences, held in Bad Herrenalb, Germany.

Functional Analysis and Evolution Equations
Functional Analysis and Evolution Equations

Author: Herbert Amann

Publisher: Springer Science & Business Media

Published: 2008-02-28

Total Pages: 643

ISBN-13: 3764377941

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Gunter Lumer was an outstanding mathematician whose works have great influence on the research community in mathematical analysis and evolution equations. He was at the origin of the breath-taking development the theory of semigroups saw after the pioneering book of Hille and Phillips from 1957. This volume contains invited contributions presenting the state of the art of these topics and reflecting the broad interests of Gunter Lumer.

The Equations of Life
The Equations of Life

Author: Charles S. Cockell

Publisher: Basic Books

Published: 2018-06-19

Total Pages: 366

ISBN-13: 154164459X

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A groundbreaking argument for why alien life will evolve to be much like life here on Earth We are all familiar with the popular idea of strange alien life wildly different from life on earth inhabiting other planets. Maybe it's made of silicon! Maybe it has wheels! Or maybe it doesn't. In The Equations of Life, biologist Charles S. Cockell makes the forceful argument that the laws of physics narrowly constrain how life can evolve, making evolution's outcomes predictable. If we were to find on a distant planet something very much like a lady bug eating something like an aphid, we shouldn't be surprised. The forms of life are guided by a limited set of rules, and as a result, there is a narrow set of solutions to the challenges of existence. A remarkable scientific contribution breathing new life into Darwin's theory of evolution, The Equations of Life makes a radical argument about what life can -- and can't -- be.

Handbook of Differential Equations: Evolutionary Equations
Handbook of Differential Equations: Evolutionary Equations

Author: C.M. Dafermos

Publisher: Elsevier

Published: 2004-08-24

Total Pages: 579

ISBN-13: 0080521827

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This book contains several introductory texts concerning the main directions in the theory of evolutionary partial differential equations. The main objective is to present clear, rigorous,and in depth surveys on the most important aspects of the present theory. The table of contents includes: W.Arendt: Semigroups and evolution equations: Calculus, regularity and kernel estimatesA.Bressan: The front tracking method for systems of conservation lawsE.DiBenedetto, J.M.Urbano,V.Vespri: Current issues on singular and degenerate evolution equations;L.Hsiao, S.Jiang: Nonlinear hyperbolic-parabolic coupled systemsA.Lunardi: Nonlinear parabolic equations and systemsD.Serre:L1-stability of nonlinear waves in scalar conservation laws B.Perthame:Kinetic formulations of parabolic and hyperbolic PDE's: from theory to numerics

Fractional Differential Equations
Fractional Differential Equations

Author: Anatoly Kochubei

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2019-02-19

Total Pages: 528

ISBN-13: 3110571668

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This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This second volume collects authoritative chapters covering the mathematical theory of fractional calculus, including ordinary and partial differential equations of fractional order, inverse problems, and evolution equations.

Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations
Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations

Author: Marko Kostić

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2019-05-06

Total Pages: 372

ISBN-13: 3110641852

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This book discusses almost periodic and almost automorphic solutions to abstract integro-differential Volterra equations that are degenerate in time, and in particular equations whose solutions are governed by (degenerate) solution operator families with removable singularities at zero. It particularly covers abstract fractional equations and inclusions with multivalued linear operators as well as abstract fractional semilinear Cauchy problems.

Evolution Equations
Evolution Equations

Author: Gisele Ruiz Goldstein

Publisher: CRC Press

Published: 2003-06-24

Total Pages: 442

ISBN-13: 9780824709754

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Celebrating the work of renowned mathematician Jerome A. Goldstein, this reference compiles original research on the theory and application of evolution equations to stochastics, physics, engineering, biology, and finance. The text explores a wide range of topics in linear and nonlinear semigroup theory, operator theory, functional analysis, and linear and nonlinear partial differential equations, and studies the latest theoretical developments and uses of evolution equations in a variety of disciplines. Providing nearly 500 references, the book contains discussions by renowned mathematicians such as H. Brezis, G. Da Prato, N.E. Gretskij, I. Lasiecka, Peter Lax, M. M. Rao, and R. Triggiani.

Selected Topics in Almost Periodicity
Selected Topics in Almost Periodicity

Author: Marko Kostić

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2021-11-22

Total Pages: 606

ISBN-13: 3110763605

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Covers uniformly recurrent solutions and c-almost periodic solutions of abstract Volterra integro-differential equations as well as various generalizations of almost periodic functions in Lebesgue spaces with variable coefficients. Treats multi-dimensional almost periodic type functions and their generalizations in adequate detail.