It takes the average reader 4 hours and 38 minutes to read Nonlocal Diffusion Problems by Fuensanta Andreu-Vaillo
Assuming a reading speed of 250 words per minute. Learn more
Nonlocal diffusion problems arise in a wide variety of applications, including biology, image processing, particle systems, coagulation models, and mathematical finance. These types of problems are also of great interest for their purely mathematical content. This book presents recent results on nonlocal evolution equations with different boundary conditions, starting with the linear theory and moving to nonlinear cases, including two nonlocal models for the evolution of sandpiles. Both existence and uniqueness of solutions are considered, as well as their asymptotic behaviour. Moreover, the authors present results concerning limits of solutions of the nonlocal equations as a rescaling parameter tends to zero. With these limit procedures the most frequently used diffusion models are recovered: the heat equation, the $p$-Laplacian evolution equation, the porous media equation, the total variation flow, a convection-diffusion equation and the local models for the evolution of sandpiles due to Aronsson-Evans-Wu and Prigozhin. Readers are assumed to be familiar with the basic concepts and techniques of functional analysis and partial differential equations. The text is otherwise self-contained, with the exposition emphasizing an intuitive understanding and results given with full proofs. It is suitable for graduate students or researchers. The authors cover a subject that has received a great deal of attention in recent years. The book is intended as a reference tool for a general audience in analysis and PDEs, including mathematicians, engineers, physicists, biologists, and others interested in nonlocal diffusion problems.
Nonlocal Diffusion Problems by Fuensanta Andreu-Vaillo is 274 pages long, and a total of 69,596 words.
This makes it 92% the length of the average book. It also has 85% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 6 hours and 20 minutes to read Nonlocal Diffusion Problems aloud.
Nonlocal Diffusion Problems is suitable for students ages 12 and up.
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