Tommaso Ruggeri's Books

Extended Thermodynamics

By: Ingo Müller,Tommaso Ruggeri

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Physicists firmly believe that the differential equations of nature should be hyperbolic so as to exclude action at a distance; yet the equations of irreversible thermodynamics - those of Navier-Stokes and Fourier - are parabolic. This incompatibility between the expectation of physicists and the classical laws of thermodynamics has prompted the formulation of extended thermodynamics. After describing the motifs and early evolution of this new branch of irreversible thermodynamics, the authors apply the theory to mon-atomic gases, mixtures of gases, relativistic gases, and "gases" of phonons and photons. The discussion brings into perspective the various phenomena called second sound, such as heat propagation, propagation of shear stress and concentration, and the second sound in liquid helium. The formal mathematical structure of extended thermodynamics is exposed and the theory is shown to be fully compatible with the kinetic theory of gases. The study closes with the testing of extended thermodynamics through the exploitation of its predictions for measurements of light scattering and sound propagation.

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Page Count

238

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Springer Science & Business Media

Published Date

ISBN 10

1468404474

ISBN 13

9781468404470

Proceedings, "WASCOM 2005"

13th Conference on Waves and Stability in Continuous Media : Catania, Italy, 19-25 June 2005

By: Roberto Monaco,Giuseppe Mulone,Salvatore Rionero,Tommaso Ruggeri

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Proceedings, "WASCOM 2005"

13th Conference on Waves and Stability in Continuous Media : Catania, Italy, 19-25 June 2005

By: Roberto Monaco,Giuseppe Mulone,Salvatore Rionero,Tommaso Ruggeri

The book contains recent contributions in the field of waves propagation and stability in continuous media. In particular, the contributions consider discontinuity and shock waves, stability in fluid dynamics, small parameter problems, kinetic theories towards continuum models, non-equilibrium thermodynamics, and numerical applications. The volume is the fourth in a series published by World Scientific since 1999. The following distinguished authors contribute to the present book: S Bianchini, R Caflish, C Cercignani, Y Choquet-Bruhat, C Dafermos, L Desvillettes, V Giovangigli, H Gouin, I Muller, D Parker, B Straughan, M Sugiyama and W Weiss. Contents: On Whitham Equations for Camassa-Holm (S Abenda et al.); An Operational Description of Stock Markets (F Bagarello); Vortex Layers in the Small Viscosity Limit (R E Caflisch & M Sammartino); Integration of Partially Integrable Equations (R Conte); Waves and Vibrations in a Solid of Second Grade (M Destrade & G Saccomandi); Multicomponent Reactive Flows (V Giovangigli); Singularities for Prandtl''s Equations (G Lo Bosco et al.); Stability of Solitons of the ZakharovOCoRubenchik Equation (F Oliveira); Plain Waves and Vibrations in the Elastic Mixtures (M Svanadze); Extended Thermodynamics with Consistent Order (W Weiss); and other papers. Readership: Academics, researchers and post-graduates in mathematics and physics.

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582

Publisher

World Scientific

Published Date

ISBN 10

9812773614

ISBN 13

9789812773616

Rational Extended Thermodynamics beyond the Monatomic Gas

By: Tommaso Ruggeri,Masaru Sugiyama

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Rational Extended Thermodynamics beyond the Monatomic Gas

By: Tommaso Ruggeri,Masaru Sugiyama

This book is dedicated to the recent developments in RET with the aim to explore polyatomic gas, dense gas and mixture of gases in non-equilibrium. In particular we present the theory of dense gases with 14 fields, which reduces to the Navier-Stokes Fourier classical theory in the parabolic limit. Molecular RET with an arbitrary number of field-variables for polyatomic gases is also discussed and the theory is proved to be perfectly compatible with the kinetic theory in which the distribution function depends on an extra variable that takes into account a molecule’s internal degrees of freedom. Recent results on mixtures of gases with multi-temperature are presented together with a natural definition of the average temperature. The qualitative analysis and in particular, the existence of the global smooth solution and the convergence to equilibrium are also studied by taking into account the fact that the differential systems are symmetric hyperbolic. Applications to shock and sound waves are analyzed together with light scattering and heat conduction and the results are compared with experimental data. Rational extended thermodynamics (RET) is a thermodynamic theory that is applicable to non-equilibrium phenomena. It is described by differential hyperbolic systems of balance laws with local constitutive equations. As RET has been strictly related to the kinetic theory through the closure method of moment hierarchy associated to the Boltzmann equation, the applicability range of the theory has been restricted within rarefied monatomic gases. The book represents a valuable resource for applied mathematicians, physicists and engineers, offering powerful models for potential applications like satellites reentering the atmosphere, semiconductors and nano-scale phenomena.

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Page Count

381

Publisher

Springer

Published Date

ISBN 10

3319133411

ISBN 13

9783319133416

Asymptotic Methods in Nonlinear Wave Phenomena

In Honor of the 65th Birthday of Antonio Greco, Palermo, Italy, 5-7 June 2006

By: Tommaso Ruggeri,Antonio M. Greco,Marco Sammartino

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Asymptotic Methods in Nonlinear Wave Phenomena

In Honor of the 65th Birthday of Antonio Greco, Palermo, Italy, 5-7 June 2006

By: Tommaso Ruggeri,Antonio M. Greco,Marco Sammartino

This book brings together several contributions from leading experts in the field of nonlinear wave propagation. This field, which during the last three decades has seen important breakthroughs from the theoretical point of view, has recently acquired increased relevance due to advances in the technology of fluids e.g. at microscale or nanoscale and the recognition of crucial applications to the understanding of biological phenomena. Nonlinear wave theory requires the use of disparate approaches, including formal and rigorous asymptotic methods, Lie group theory, energy methods, numerical analysis, and bifurcation theory. This book presents a unique blend in which different aspects of the theory are enlightened and several real-life applications are investigated. The book will be a valuable resource for applied scientists interested in some of the most recent advances in the theory and in the applications of wave propagation, shock formation, nonequilibrium thermodynamics and energy methods.

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228

Publisher

World Scientific

Published Date

ISBN 10

9812708901

ISBN 13

9789812708908

Waves and Stability in Continuous Media - Proceedings of the 15th Conference on Wascom 2009

By: Antonio Maria Greco,Salvatore Rionero,Tommaso Ruggeri

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Waves and Stability in Continuous Media - Proceedings of the 15th Conference on Wascom 2009

By: Antonio Maria Greco,Salvatore Rionero,Tommaso Ruggeri

This book contains recent contributions in the field of waves propagation and stability in continuous media. The volume is the sixth in a series published by World Scientific since 1999.

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389

Publisher

World Scientific

Published Date

ISBN 10

9814317411

ISBN 13

9789814317412

Rational extended thermodynamics

By: Ingo Mueller,Tommaso Ruggeri

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Rational extended thermodynamics

By: Ingo Mueller,Tommaso Ruggeri

Ordinary thermodynamics provides reliable results when the thermodynamic fields are smooth, in the sense that there are no steep gradients and no rapid changes. In fluids and gases this is the domain of the equations of Navier-Stokes and Fourier. Extended thermodynamics becomes relevant for rapidly varying and strongly inhomogeneous processes. Thus the propagation of high frequency waves, and the shape of shock waves, and the regression of small-scale fluctuation are governed by extended thermodynamics. The field equations of ordinary thermodynamics are parabolic while extended thermodynamics is governed by hyperbolic systems. The main ingredients of extended thermodynamics are • field equations of balance type, • constitutive quantities depending on the present local state and • entropy as a concave function of the state variables. This set of assumptions leads to first order quasi-linear symmetric hyperbolic systems of field equations; it guarantees the well-posedness of initial value problems and finite speeds of propaga tion. Several tenets of irreversible thermodynamics had to be changed in subtle ways to make extended thermodynamics work. Thus, the entropy is allowed to depend on nonequilibrium vari ables, the entropy flux is a general constitutive quantity, and the equations for stress and heat flux contain inertial terms. New insight is therefore provided into the principle of material frame indifference. With these modifications an elegant formal structure can be set up in which, just as in classical thermostatics, all restrictive conditions--derived from the entropy principle-take the form of integrability conditions.

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332

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Springer Science & Business Media

Published Date

ISBN 10

1461222109

ISBN 13

9781461222101

Classical and Relativistic Rational Extended Thermodynamics of Gases

By: Tommaso Ruggeri,Masaru Sugiyama

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Classical and Relativistic Rational Extended Thermodynamics of Gases

By: Tommaso Ruggeri,Masaru Sugiyama

Rational extended thermodynamics (RET) is the theory that is applicable to nonequilibrium phenomena out of local equilibrium. It is expressed by the hyperbolic system of field equations with local constitutive equations and is strictly related to the kinetic theory with the closure method of the hierarchies of moment equations. The book intends to present, in a systematic way, new results obtained by RET of gases in both classical and relativistic cases, and it is a natural continuation of the book "Rational Extended Thermodynamics beyond the Monatomic Gas" by the same authors published in 2015. However, this book addresses much wider topics than those of the previous book. Its contents are as follows: RET of rarefied monatomic gases and of polyatomic gases; a simplified RET theory with 6 fields being valid far from equilibrium; RET where both molecular rotational and vibrational modes exist; mixture of gases with multi-temperature. The theory is applied to several typical topics (sound waves, shock waves, etc.) and is compared with experimental data. From a mathematical point of view, RET can be regarded as a theory of hyperbolic symmetric systems, of which it is possible to conduct a qualitative analysis. The book represents a valuable resource for applied mathematicians, physicists, and engineers, offering powerful models for many potential applications such as reentering satellites into the atmosphere, semiconductors, and nanoscale phenomena.

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