Singular Limits in Thermodynamics of Viscous Fluids - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Singular Limits in Thermodynamics of Viscous Fluids write by Eduard Feireisl. This book was released on 2009-03-28. Singular Limits in Thermodynamics of Viscous Fluids available in PDF, EPUB and Kindle. Many interesting problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations as certain parameters vanish or become infinite. Frequently the limiting solution, provided the limit exists, satisfies a qualitatively different system of differential equations. This book is designed as an introduction to the problems involving singular limits based on the concept of weak or variational solutions. The primitive system consists of a complete system of partial differential equations describing the time evolution of the three basic state variables: the density, the velocity, and the absolute temperature associated to a fluid, which is supposed to be compressible, viscous, and heat conducting. It can be represented by the Navier-Stokes-Fourier-system that combines Newton's rheological law for the viscous stress and Fourier's law of heat conduction for the internal energy flux. As a summary, this book studies singular limits of weak solutions to the system governing the flow of thermally conducting compressible viscous fluids.
Singular Limits in Thermodynamics of Viscous Fluids
Singular Limits in Thermodynamics of Viscous Fluids - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Singular Limits in Thermodynamics of Viscous Fluids write by John G. Heywood Edited by Giovanni P. Galdi (Rolf Rannacher). This book was released on 2009. Singular Limits in Thermodynamics of Viscous Fluids available in PDF, EPUB and Kindle.
New Directions in Mathematical Fluid Mechanics
New Directions in Mathematical Fluid Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook New Directions in Mathematical Fluid Mechanics write by Andrei V. Fursikov. This book was released on 2010-01-11. New Directions in Mathematical Fluid Mechanics available in PDF, EPUB and Kindle. On November 3, 2005, Alexander Vasil’evich Kazhikhov left this world, untimely and unexpectedly. He was one of the most in?uential mathematicians in the mechanics of ?uids, and will be remembered for his outstanding results that had, and still have, a c- siderablysigni?cantin?uenceinthe?eld.Amonghis manyachievements,werecall that he was the founder of the modern mathematical theory of the Navier-Stokes equations describing one- and two-dimensional motions of a viscous, compressible and heat-conducting gas. A brief account of Professor Kazhikhov’s contributions to science is provided in the following article “Scienti?c portrait of Alexander Vasil’evich Kazhikhov”. This volume is meant to be an expression of high regard to his memory, from most of his friends and his colleagues. In particular, it collects a selection of papers that represent the latest progress in a number of new important directions of Mathematical Physics, mainly of Mathematical Fluid Mechanics. These papers are written by world renowned specialists. Most of them were friends, students or colleagues of Professor Kazhikhov, who either worked with him directly, or met him many times in o?cial scienti?c meetings, where they had the opportunity of discussing problems of common interest.
Collected Papers in Honor of Yoshihiro Shibata
Collected Papers in Honor of Yoshihiro Shibata - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Collected Papers in Honor of Yoshihiro Shibata write by Tohru Ozawa. This book was released on 2023-01-01. Collected Papers in Honor of Yoshihiro Shibata available in PDF, EPUB and Kindle. Yoshihiro Shibata has made many significant contributions to the area of mathematical fluid mechanics over the course of his illustrious career, including landmark work on the Navier-Stokes equations. The papers collected here — on the occasion of his 70th birthday — are written by world-renowned researchers and celebrate his decades of outstanding achievements.
Nonlinear Partial Differential Equations
Nonlinear Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Partial Differential Equations write by Helge Holden. This book was released on 2012-01-15. Nonlinear Partial Differential Equations available in PDF, EPUB and Kindle. The topic of the 2010 Abel Symposium, hosted at the Norwegian Academy of Science and Letters, Oslo, was Nonlinear Partial Differential Equations, the study of which is of fundamental importance in mathematics and in almost all of natural sciences, economics, and engineering. This area of mathematics is currently in the midst of an unprecedented development worldwide. Differential equations are used to model phenomena of increasing complexity, and in areas that have traditionally been outside the realm of mathematics. New analytical tools and numerical methods are dramatically improving our understanding of nonlinear models. Nonlinearity gives rise to novel effects reflected in the appearance of shock waves, turbulence, material defects, etc., and offers challenging mathematical problems. On the other hand, new mathematical developments provide new insight in many applications. These proceedings present a selection of the latest exciting results by world leading researchers.
