How Long to Read Homogenization of Multiple Integrals

How Long Does it Take to Read Homogenization of Multiple Integrals?

It takes the average reader 5 hours and 24 minutes to read Homogenization of Multiple Integrals by Andrea Braides

Assuming a reading speed of 250 words per minute. Learn more

Description

The object of homogenization theory is the description of the macroscopic properties of structures with fine microstructure, covering a wide range of applications that run from the study of properties of composites to optimal design. The structures under consideration may model cellularelastic materials, fibred materials, stratified or porous media, or materials with many holes or cracks. In mathematical terms, this study can be translated in the asymptotic analysis of fast-oscillating differential equations or integral functionals. The book presents an introduction to themathematical theory of homogenization of nonlinear integral functionals, with particular regard to those general results that do not rely on smoothness or convexity assumptions. Homogenization results and appropriate descriptive formulas are given for periodic and almost- periodic functionals. Theapplications include the asymptotic behaviour of oscillating energies describing cellular hyperelastic materials, porous media, materials with stiff and soft inclusions, fibered media, homogenization of HamiltonJacobi equations and Riemannian metrics, materials with multiple scales of microstructureand with multi-dimensional structure. The book includes a specifically designed, self-contained and up-to-date introduction to the relevant results of the direct methods of Gamma-convergence and of the theory of weak lower semicontinuous integral functionals depending on vector-valued functions.The book is based on various courses taught at the advanced graduate level. Prerequisites are a basic knowledge of Sobolev spaces, standard functional analysis and measure theory. The presentation is completed by several examples and exercises.

How long is Homogenization of Multiple Integrals?

Homogenization of Multiple Integrals by Andrea Braides is 322 pages long, and a total of 81,144 words.

This makes it 109% the length of the average book. It also has 99% more words than the average book.

How Long Does it Take to Read Homogenization of Multiple Integrals Aloud?

The average oral reading speed is 183 words per minute. This means it takes 7 hours and 23 minutes to read Homogenization of Multiple Integrals aloud.

What Reading Level is Homogenization of Multiple Integrals?

Homogenization of Multiple Integrals is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Homogenization of Multiple Integrals?

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