### Abstract

A general, uniform, rigorous and constructive thermodynamic approach to weakly nonlocal non-equilibrium thermodynamics is reviewed. A method is given to construct and restrict the evolution equations of physical theories according to the Second Law of Thermodynamics and considering weakly nonlocal constitutive state spaces. The evolution equations of internal variables, the classical irreversible thermodynamics and Korteweg fluids are treated.

Original language | English |
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Title of host publication | Applied Wave Mathematics: Selected Topics in Solids, Fluids, and Mathematical Methods |

Publisher | Springer Berlin Heidelberg |

Pages | 153-186 |

Number of pages | 34 |

ISBN (Print) | 9783642005848 |

DOIs | |

Publication status | Published - 2009 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Applied Wave Mathematics: Selected Topics in Solids, Fluids, and Mathematical Methods*(pp. 153-186). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-00585-5_10

**Weakly nonlocal non-equilibrium thermodynamics-Variational principles and second law.** / Ván, P.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Applied Wave Mathematics: Selected Topics in Solids, Fluids, and Mathematical Methods.*Springer Berlin Heidelberg, pp. 153-186. https://doi.org/10.1007/978-3-642-00585-5_10

}

TY - CHAP

T1 - Weakly nonlocal non-equilibrium thermodynamics-Variational principles and second law

AU - Ván, P.

PY - 2009

Y1 - 2009

N2 - A general, uniform, rigorous and constructive thermodynamic approach to weakly nonlocal non-equilibrium thermodynamics is reviewed. A method is given to construct and restrict the evolution equations of physical theories according to the Second Law of Thermodynamics and considering weakly nonlocal constitutive state spaces. The evolution equations of internal variables, the classical irreversible thermodynamics and Korteweg fluids are treated.

AB - A general, uniform, rigorous and constructive thermodynamic approach to weakly nonlocal non-equilibrium thermodynamics is reviewed. A method is given to construct and restrict the evolution equations of physical theories according to the Second Law of Thermodynamics and considering weakly nonlocal constitutive state spaces. The evolution equations of internal variables, the classical irreversible thermodynamics and Korteweg fluids are treated.

UR - http://www.scopus.com/inward/record.url?scp=77956658272&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77956658272&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-00585-5_10

DO - 10.1007/978-3-642-00585-5_10

M3 - Chapter

AN - SCOPUS:77956658272

SN - 9783642005848

SP - 153

EP - 186

BT - Applied Wave Mathematics: Selected Topics in Solids, Fluids, and Mathematical Methods

PB - Springer Berlin Heidelberg

ER -