Une pure merveille !
Un roman d'une grande beauté, drôle, fin, extrêmement lumineux sur des sujets difficiles : la perte de
l'être aimé, la dureté de la vie et la tristesse qu'on barricade parfois... Elise franco-japonaise,
orpheline de sa maman veut poser LA question à son père et elle en trouvera le courage au fil des pages,
grâce au retour de sa grand-mère du japon, de sa rencontre avec son extravagante amie Stella..
Ensemble il ne diront plus Sayonara mais Mata Ne !
Volumes 5 and 6 examine evolution (i.e. time-dependent) problems. The methods presented are useful for physics and mechanics (Chapter XV) as well as electronics,...
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Volumes 5 and 6 examine evolution (i.e. time-dependent) problems. The methods presented are useful for physics and mechanics (Chapter XV) as well as electronics, automata theory and robotics, etc. (Chapter XVI). In Chapter XVII it is shown that for a large class of problems the solution may be expressed in terms of a family (or semi-group) of time-dependent operators. Chapter XVIII deals with variational methods which are the simplest and the most powerful methods applicable to both non-symmetric and time-dependent operators, and form a basis for the study of nonlinear problems. The linearised Navier-Stokes equations are considered in Chapter XIX with particular variational methods. Chapter XX presents the methods of computation for evolution problems, serving as a basis for the effective calculation of evolutions on computer. The final chapter presents the many important and specific properties of the operator of transport equations.
Sommaire
EVOLUTION PROBLEM: CAUCHY PROBLEMS IN IRn
The Ordinary Cauchy Problems in Finite Dimensional Spaces
Diffusion Equations
Wave Equations
The Cauchy Problem for the Schrödinger Equation, Introduction
The Cauchy Problem for Evolution Equations Related to Convolution Products
An Abstract Cauchy Problem
Ovsyannikov's Theorem
EVOLUTION PROBLEM: THE METHOD OF DIAGONALISATION
The Fourier Method or the Method of Diagonalisation
Variations
The Method of Diagonalisation for an Operator Having Continuous Spectrum
Examples of Application: The Diffusion Equation
The Wave Equation: Mathematical Examples and Examples of Application
The Schrödinger Equation
Application with an Operator having a Continuous Spectrum: Example Review of Chapter XV
Return to the problem of Vibrating Strings
EVOLUTION PROBLEM: THE METHOD OF THE LAPLACE TRANSFORM
Laplace Transform of Distributions
Laplace Transform of Vector-valued Distributions
Applications to First Order Evolution Problems
Evolution Problems of Second Order in t
Applications
EVOLUTION PROBLEMS: THE METHOD OF SEMIGROUPS
STUDY OF SEMIGROUPS
Definitions and Properties of Semigroups Acting in a Banach Space
The Infinitesimal Generator of a Semigroup
The Hille-Yosida Theorem
The Case of Groups of Class c° and Stone's Theorem