How Long to Read Intermittent Convex Integration for the 3D Euler Equations

How Long Does it Take to Read Intermittent Convex Integration for the 3D Euler Equations?

It takes the average reader 4 hours and 22 minutes to read Intermittent Convex Integration for the 3D Euler Equations by Tristan Buckmaster

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

Description

A new threshold for the existence of weak solutions to the incompressible Euler equations To gain insight into the nature of turbulent fluids, mathematicians start from experimental facts, translate them into mathematical properties for solutions of the fundamental fluids PDEs, and construct solutions to these PDEs that exhibit turbulent properties. This book belongs to such a program, one that has brought convex integration techniques into hydrodynamics. Convex integration techniques have been used to produce solutions with precise regularity, which are necessary for the resolution of the Onsager conjecture for the 3D Euler equations, or solutions with intermittency, which are necessary for the construction of dissipative weak solutions for the Navier-Stokes equations. In this book, weak solutions to the 3D Euler equations are constructed for the first time with both non-negligible regularity and intermittency. These solutions enjoy a spatial regularity index in L^2 that can be taken as close as desired to 1/2, thus lying at the threshold of all known convex integration methods. This property matches the measured intermittent nature of turbulent flows. The construction of such solutions requires technology specifically adapted to the inhomogeneities inherent in intermittent solutions. The main technical contribution of this book is to develop convex integration techniques at the local rather than global level. This localization procedure functions as an ad hoc wavelet decomposition of the solution, carrying information about position, amplitude, and frequency in both Lagrangian and Eulerian coordinates.

How long is Intermittent Convex Integration for the 3D Euler Equations?

Intermittent Convex Integration for the 3D Euler Equations by Tristan Buckmaster is 256 pages long, and a total of 65,536 words.

This makes it 86% the length of the average book. It also has 80% more words than the average book.

How Long Does it Take to Read Intermittent Convex Integration for the 3D Euler Equations Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 58 minutes to read Intermittent Convex Integration for the 3D Euler Equations aloud.

What Reading Level is Intermittent Convex Integration for the 3D Euler Equations?

Intermittent Convex Integration for the 3D Euler Equations 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 Intermittent Convex Integration for the 3D Euler Equations?

Intermittent Convex Integration for the 3D Euler Equations by Tristan Buckmaster is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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