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The papers collected in this volume are concerned with hyperbolic problems, or problems the methods of which are related to hyperbolic techniques.
L. MENCHERINI and S. SPAGNOLO consider a first order hyperbolic system in two variables whose coefficients depend only on time; they define the notion of pseudosymmetry for matrix symbols of order zero, and determine the Gevrey class where the Cauchy problem is well-posed, according to the type of pseudosymmetry of the principal matrix symbol.

The 2-phase Goursat problem has been solved by means of Bessel functions; here J.CARVALHO E SILVA considers the 3-phase Goursat problem, using instead some hyper-geometric functions in four variables. He also discusses the general problem, pointing out that the main difficulties are due to the lack of results on special functions.
L.S. SCHULMAN raises the difficulty of conceiving that a single dynamical system could contain subsystems, in significant mutual contact, possessing opposite thermodynam- thermodynamics arrows of time. By examining possible cosmological justification for the usual arrow of time he finds that a consistent way to establish such justification is by giving symmetric boundary conditions at two (cosmologically remote) times and seeking irreversible behav-behavior in between. Other boundary conditions, modeling shorter periods in the evolution of the cosmos, can be found that allow the simultaneous existence of two thermodynamic arrows, notwithstanding moderate interaction between the two systems.

Idioma Inglés
Publicación 2003
Editorial CRC Press
Categoría Ciencias


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