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
Total Pages: 532
Release: 2019-04-24
Genre: Medical
ISBN: 1482277484

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
Total Pages: 534
Release: 2000-11-08
Genre: Medical
ISBN: 9780824790103

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
Total Pages: 643
Release: 2008-02-28
Genre: Mathematics
ISBN: 3764377941

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
Total Pages: 366
Release: 2018-06-19
Genre: Science
ISBN: 154164459X

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
Total Pages: 579
Release: 2004-08-24
Genre: Mathematics
ISBN: 0080521827

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
Total Pages: 528
Release: 2019-02-19
Genre: Mathematics
ISBN: 3110571668

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
Total Pages: 372
Release: 2019-05-06
Genre: Mathematics
ISBN: 3110641852

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.

Selected Topics in Almost Periodicity

Selected Topics in Almost Periodicity
Author: Marko Kostić
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 606
Release: 2021-11-22
Genre: Mathematics
ISBN: 3110763605

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.