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-dynamics, game theory, and theoretical biology are examined in details. It starts off with a review and summary of the basic ideas of mathematical modeling frequently used in the sciences and engineering. The authors then employ a number of models in bio-science and material science to demonstrate applications, and provide recent advanced studies, both on deterministic non-local partial differential equations and on some of their stochastic counterparts used in engineering. Mathematical models applied in engineering, chemistry, and biology are subject to conservation laws. For instance, decrease or increase in thermodynamic quantities and non-local partial differential equations, associated with the conserved physical quantities as parameters. These present novel mathematical objects are engaged with rich mathematical structures, in accordance with the interactions between species or individuals, self-organization, pattern formation, hysteresis. These models are based on various laws of physics, such as mechanics of continuum, electro-magnetic theory, and thermodynamics. This is why many areas of mathematics, calculus of variation, dynamical systems, integrable systems, blow-up analysis, and energy methods are indispensable in understanding and analyzing these phenomena.
Non-Local Partial Differential Equations for Engineering and Biology Mathematical Modeling and Analysis PDF Free Download
November 1, 2022
You may also like
This book offers the reader an overview of recent developments of integral equations on time scales. It also contains elegant analytical and numerical methods...
ANALYSICS MATHEMATICS
Measure and Integral An Introduction to Real Analysis 2nd Edition by Richard L. Wheeden PDF
October 10, 2023
Now considered a classic text on the topic, Measure and Integral: An Introduction to Real Analysis provides an introduction to real analysis by first...
ANALYSICS MATHEMATICS
Qualitative Analysis of Nonlinear Elliptic Partial Differential Equations by Vicentiu Radulescu PDF
September 29, 2023
The book provides a comprehensive introduction to the mathematical theory of nonlinear problems described by elliptic partial differential equations. These...
Recent Posts
- Algebra 3 Homological Algebra and Its Applications by Ramji Lal PDF
- Heat Transfer Physics 2nd Edition By Massoud Kaviany PDF
- Lavin’s Radiography for Veterinary Technicians, 6th Edition by Marg Brown PDF
- Principles of Physics, 10th Edition by David Halliday PDF
- The Dog Behavior Problem Solver by Teoti Anderson PDF
Add Comment