This book examines a nonlinear system of parabolic partial differential equations (PDEs) arising in mathematical biology and statistical mechanics. In the context of biology, the system typically des
This monograph is devoted to recent mathematical theories on the bottom up self-organization observed in closed and isolated thermo-dynamical systems. Its main features include:New mathematical result
A historical account of the development of engines, from Newcomen's and Watt's steam engines through the Daimler-Benz DB601. Discusses such aspects as piston and cylinder problems, engine life, coolin
The purpose of this monograph is to describe recent developments in mathematical modeling and mathematical analysis of certain problems arising from cell biology. Cancer cells and their growth via sev
This book provides a general introduction to applied analysis, vector analysis with physical motivation, calculus of variation, Fourier analysis, eigenfunction expansion, distribution, and so forth, i
Senba (Miyazaki U.) and Suzuki (Osaka U.) provide an introduction to applied mathematics in various disciplines. Topics include geometric objects, such as basic notions of vector analysis, curvature a
This book presents new developments in non-local mathematical modeling and mathematical analysis on the behavior of solutions with novel technical tools. Theoretical backgrounds in mechanics, thermo-
Eight plenary lectures and 25 invited and contributed lectures discuss potential theory and its related fields. The topics include Brownian motion and harmonic measure in conic sections, the sharpness
