Attractors for Equations of Mathematical Physics

ISBN-13: 9780821829509 / Angielski / Twarda / 2001 / 363 str.

Vladmire Chepyzhov; Mosco Mark (Both At The Russian Academy Of Sciences Vishik

Opis

One of the major problems in the study of evolution equations of mathematical physics is the investigation of the behaviour of the solutions to these equations when time is large or tends to infinity. The related important questions concern the stability of solutions or the character of the instability if a solution is unstable. In the last few decades in the 20th century, considerable progress in this area has been achieved in the study of autonomous evolution partial differential equations. For a number of basic evolution equations of mathematical physics, it was shown that the long time behavior of their solutions can be characterized by a very important notion of a global attractor of the equation.