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This volume presents an up-to-date overview of some of the most important topics in waves and stability in continuous media. The topics are: Discontinuity and Shock Waves; Linear and Non-Linear Stability in Fluid Dynamics; Kinetic Theories and Comparison with Continuum Models; Propagation and Non-Equilibrium Thermodynamics; and Numerical Applications.
R. Bouc, G. Geymonat: Periodic problems in thermoviscoelasticity.- A. Day: The thermodynamics of materials with memory.- M. Fabrizio: Sulla nozione di stato nella termomeccanica dei continui.- G. Fichera: Analytic problems of hereditary phenomena.- M. Ribaric: The black box approach and systems with memory.- R.S. Rivlin: The theory of constitutive equations.-
The scientific personalities of Luigi Cremona, Eugenio Beltrami, Salvatore Pincherle, Federigo Enriques, Beppo Levi, Giuseppe Vitali, Beniamino Segre and of several other mathematicians who worked in Bologna in the century 1861–1960 are examined by different authors, in some cases providing different view points. Most contributions in the volume are historical; they are reproductions of original documents or studies on an original work and its impact on later research. The achievements of other mathematicians are investigated for their present-day importance.
G. Toraldo di Francia: Premessa.-C.M. Angulo: A discontinuity problem on surface waves: The excitation of a grounded dieletric slab by a waveguide.- C.J. Bouwkamp: Notes on the conference.- H. Bremmer: Electromagnetic wave propagation around the earth.- L.B. Felsen: Asymptotic evaluation of integrals.- L.B. Felsen: Alternative Green's function representations for a grounded dielectric slab.- G. Gerosa: Propagation of electromagnetic waves in rectangular guides loaded with magnetized ferrite.- D. Graffi: Sulle condizioni al contorno approssimate nell ́elettromagnetismo.- M.A. Miller, V.I. Talanov: The use of the surfaces impedante concept in the theory of electromagnetic surface waves.- S. Spitz: Note on continuous coupling of surface waves.- F.J. Zucker: Electroomagnetic boundary waves.
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This book describes several tractable theories for fluid flow in porous media. The important mathematical quations about structural stability and spatial decay are address. Thermal convection and stability of other flows in porous media are covered. A chapter is devoted to the problem of stability of flow in a fluid overlying a porous layer. Nonlinear wave motion in porous media is analysed. In particular, waves in an elastic body with voids are investigated while acoustic waves in porous media are also analysed in some detail. A chapter is enclosed on efficient numerical methods for solving eigenvalue problems which occur in stability problems for flows in porous media. Brian Straughan is a professor at the Department of Mathemactical Sciences at Durham University, United Kingdom.
The present book – through the topics and the problems approach – aims at filling a gap, a real need in our literature concerning CFD (Computational Fluid Dynamics). Our presentation results from a large documentation and focuses on reviewing the present day most important numerical and computational methods in CFD. Many theoreticians and experts in the field have expressed their - terest in and need for such an enterprise. This was the motivation for carrying out our study and writing this book. It contains an important systematic collection of numerical working instruments in Fluid Dyn- ics. Our current approach to CFD started ten years ago when the Univ- sity of Paris XI suggested a c...