How Long to Read G-Convergence and Homogenization of Nonlinear Partial Differential Operators

How Long Does it Take to Read G-Convergence and Homogenization of Nonlinear Partial Differential Operators?

It takes the average reader 4 hours and 38 minutes to read G-Convergence and Homogenization of Nonlinear Partial Differential Operators by A.A. Pankov

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

Description

Various applications of the homogenization theory of partial differential equations resulted in the further development of this branch of mathematics, attracting an increasing interest of both mathematicians and experts in other fields. In general, the theory deals with the following: Let Ak be a sequence of differential operators, linear or nonlinepr. We want to examine the asymptotic behaviour of solutions uk to the equation Auk = f, as k ~ =, provided coefficients of Ak contain rapid oscillations. This is the case, e. g. when the coefficients are of the form a(e/x), where the function a(y) is periodic and ek ~ 0 ask~=. Of course, of oscillation, like almost periodic or random homogeneous, are of many other kinds interest as well. It seems a good idea to find a differential operator A such that uk ~ u, where u is a solution of the limit equation Au = f Such a limit operator is usually called the homogenized operator for the sequence Ak . Sometimes, the term "averaged" is used instead of "homogenized". Let us look more closely what kind of convergence one can expect for uk. Usually, we have some a priori bound for the solutions. However, due to the rapid oscillations of the coefficients, such a bound may be uniform with respect to k in the corresponding energy norm only. Therefore, we may have convergence of solutions only in the weak topology of the energy space.

How long is G-Convergence and Homogenization of Nonlinear Partial Differential Operators?

G-Convergence and Homogenization of Nonlinear Partial Differential Operators by A.A. Pankov is 269 pages long, and a total of 69,671 words.

This makes it 91% the length of the average book. It also has 85% more words than the average book.

How Long Does it Take to Read G-Convergence and Homogenization of Nonlinear Partial Differential Operators Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 20 minutes to read G-Convergence and Homogenization of Nonlinear Partial Differential Operators aloud.

What Reading Level is G-Convergence and Homogenization of Nonlinear Partial Differential Operators?

G-Convergence and Homogenization of Nonlinear Partial Differential Operators 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 G-Convergence and Homogenization of Nonlinear Partial Differential Operators?

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