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This monograph is devoted to the global existence, uniqueness and asymptotic behaviour of smooth solutions to both initial value problems and initial boundary value problems for nonlinear parabolic equations and hyperbolic parabolic coupled systems. Most of the material is based on recent research carried out by the author and his collaborators.
The book can be divided into two parts. In the first part, the results on decay of solutions to nonlinear parabolic equations and hyperbolic parabolic coupled systems are obtained, and a chapter is devoted to the global existence of small smooth solutions to fully nonlinear parabolic equations and quasilinear hyperbolic parabolic coupled systems. Applications of the results to nonlinear thermoelasticity and fluid dynamics are also shown.
Some nonlinear parabolic equations and coupled systems arising from the study of phase transitions are investigated in the second part of the book. The global existence, uniqueness and asymptotic behaviour of smooth solutions with arbitrary initial data are obtained. The final chapter is further devoted to related topics: multiplicity of equilibria and the existence of a global attractor, inertial manifold and inertial set.
A knowledge of partial differential equations and Sobolev spaces is assumed. As an aid to the reader, the related concepts and results are collected and the relevant references given in the first
chapter. The work will be of interest to researchers and graduate students in pure and applied mathematics, mathematical physics and applied sciences.
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Randomly stumbled upon this book and I am shocked that I haven’t heard about it before. It’s hands down the best story I’ve read in years. People need to read this book. It needs to be turned into a book. This story is just plain awsome. M
This soulful book of personal poetry brought me into the past and into the present---and into my heart.
Read the first book and this 2nd one did not disappoint! Loved every chapter. More please!
Like it was written by George Santos
Received an Advanced Reader Copy from a friend. I am an avid true crime reader and upon completion I question if the author is credible. The timeline does not add up for his age and the times of his alleged involvement in organized crime. Some of the things in the book he is alleged to have said and done I remember almost word for word from movies I had previously watched. He literally stole a scene from the movie the accountant with Ben Affleck and said that he did it. I did a little research after completing the book and learned that this author was also claiming in 2010 that he was a long time member of the Bloods Gang. That coupled with the above leads me to believe that it is nothing more than fantasy. Do not waste your time or money
Like it was written by George Santos
Received an Advanced Reader Copy from a friend. I am an avid true crime reader and upon completion I question if the author is credible. The timeline does not add up for his age and the times of his alleged involvement in organized crime. Some of the things in the book he is alleged to have said and done I remember almost word for word from movies I had previously watched. He literally stole a scene from the movie the accountant with Ben Affleck and said that he did it. I did a little research after completing the book and learned that this author was also claiming in 2010 that he was a long time member of the Bloods Gang. That coupled with the above leads me to believe that it is nothing more than fantasy. Do not waste your time or money