Vector Fields with Applications to Thermodynamics and Irreversibility

ISBN-13: 9781032029870 / Angielski / Twarda / 2022 / 240 str.

Luis Manuel Braga Da Costa Campos; Luís António Raio Vilela

Opis

This book is part of the series “Mathematics and Physics Applied to Science and Technology.” The book presents the mathematical theory of partial differential equations. It includes applications to acoustic, elastic, water, electromagnetic and other waves, to the diffusion of heat, mass and electricity, and to their interactions.

Spis treści

1. Classes of Equations and Similarity Solutions. 
1.1. Hierarchy of Partial Differential Equations.  1.2 General Integral and Arbitrary Functions.  1.3. Unforced P.D.E. with First-Order Derivatives.  1.4. Quasi-Linear and Forced First-Order P.D.E.s.  1.5. Differentials of First-Degree in Three Variables.  1.6. P.D.E.s with Constant Coefficients and All Derivatives of Same Order.  1.7. Harmonic and Biharmonic Functions on the Plane.  1.8.  Forced Linear P.D.E. with Derivatives of Constant Order.  1.9. Forced Harmonic and Biharmonic Equations.  1.10. Conclusion. 

2. Thermodynamics and Irreversibility. 
2.1. Work, Heat, Entropy and Temperature.  2.2. Functions of State and Constitutive Properties.  2.3. Three Principles and Four Processes of Thermodynamics. 2.4. Entropy Production and Diffusive Properties.