Vector Fields with Applications to Thermodynamics and Irreversibility

Vector Fields with Applications to Thermodynamics and Irreversibility

Raio Vilela, Luis Antonio; Braga da Costa Campos, Luis Manuel

Taylor & Francis Ltd

10/2024

238

Mole

9781032030838

Pré-lançamento - envio 15 a 20 dias após a sua edição

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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.
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adiabatic process;arbitrary functions;biharmonic equations;diffusive properties;entropy production;first-order derivatives;harmonic equations;irreversibility;isochoric process;ordinary differential equations;partial differential equations;principle of thermodynamics;thermodynamic stability;thermodynamic system;vector fields