Parabolic Partial Differential Equation
978-613-0-34816-8
6130348169
100
2010-09-16
34.00 €
eng
https://images.our-assets.com/cover/230x230/9786130348168.jpg
https://images.our-assets.com/fullcover/230x230/9786130348168.jpg
https://images.our-assets.com/cover/2000x/9786130348168.jpg
https://images.our-assets.com/fullcover/2000x/9786130348168.jpg
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. A parabolic partial differential equation is a type of second-order partial differential equation, describing a wide family of problems in science including heat diffusion and stock option pricing. These problems, also known as evolution problems, describe physical or mathematical systems with a time variable, and which behave essentially like heat diffusing through a medium like a metal plate. Under broad assumptions, parabolic PDEs as given above have solutions for all x,y and t>0. An equation of the form ut = L(u) is considered to be parabolic if L is a (possibly nonlinear) function of u and its first and second derivatives, with some further conditions on L. With such a nonlinear parabolic differential equation, solutions exist for a short time but may explode in a singularity in a finite amount of time. Hence, the difficulty is in determining solutions for all time, or more generally studying the singularities that arise. This is in general quite difficult, as in the Solution of the Poincaré conjecture via Ricci flow.
https://www.morebooks.shop/books/gb/published_by/betascript-publishing/1/products
Mathematics
https://www.morebooks.shop/store/gb/book/parabolic-partial-differential-equation/isbn/978-613-0-34816-8