Luis Manuel Braga Da Costa Campos, Luís António Raio Vilela

Vector Fields with Applications to Thermodynamics and Irreversibility (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 278
• Erscheinungstermin: 30. November 2022
• Englisch
• ISBN-13: 9781000416039
• Artikelnr.: 66663956

Autorenporträt

Luis Manuel Braga da Costa Campos was Chair Professor and the Coordinator of the Scientific Area of Applied and Aerospace Mechanics in the Department of Mechanical Engineering and also the director (and founder) of the Center for Aeronautical and Space Science and Technology until retirement in 2020.

L.A. R. Vilela is currently completing an Integrated Master's degree in Aerospace Engineering at Institute Superior Tecnico (1ST) of Lisbon University.

Inhaltsangabe

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.