49 articles in this issue
S. Rionero, Giuseppe Mulone, Franco Salemi
This issue is dedicated to the 6th International Biennial Conference on "Waves and Stability in Continuous Media"Acireale (Italy) May 27 – June 1
Leif Arkeryd
The so called Lebowitz stick model of a gas is studied. We discuss the particle level, as well as the gas kinetic, and gas dynamic levels of the model, and consider how the three levels are connected. In particular attention is given to the validation of ... see more
Franco Bampi, Clara Zordan
An evanescent wave is a wave disturbance which travels along a direction and attenuates along a different direction. Evanescent waves are typically generated when a plane wave obliquely strikes a boundary between two media possessing different material pr... see more
O. Bang, P. L. Christiansen
A discrete anisotropic nonlinear model for the dynamics of Scheibe aggregates is investigated. The collapse of the collective excitations found by Möbius and Kuhn is described as a shrinking ring wave, which is eventually absorbed by an acceptor molecule.... see more
O. I. Bogoyavlenskij
See directly the article.
F. Capone, S. Rionero
A perturbed non-autonomous Lotka Volterra model with a diffusive term is considered. Conditions assuring non linear stability of a biological critical point are obtained also in the case in which the diffusivity coefficient is time periodic.
G. Capriz, E. G. Virga
Franco Cardin
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Vincenzo Ciancio, József Verhás
The Onsager equations for the simplest viscoelastic fluid with proper material coefficients fitted to the principle of objectivity (corotational Jeffrey body) display plastic behaviour, as well as, creep and solid like properties even in the first (linear... see more
Michele Ciarletta, Antonio Scalia
We consider the linear theory of a thermoelastic porous solid in which the skeletal or matrix is a thermoelastic material and the interstices are void of material. We assume that the initial body is free from stresses. The concept of a distributed body as... see more
Vito Antonio Cimmelli, Witold Kosinski, Katarzyna Saxton
Relations between the physical models describing the heat conduction in solids and a phenomenological model leading to quasi-linear hyperbolic equations and systems of conservation laws are presented. A new semi-empirical temperature scale is introduced i... see more
Fulvio Crisciani, Renzo Mosetti
Sufficient conditions for the linear asymptotic stability of large scale wind-driven oceanic flows are derived in the presence of arbitrary longitude-shaped perturbations. Criteria work when both bottom dissipation and lateral diffusion of relative vortic... see more
Berardino D'Acunto
We consider a singular perturbations problem for the inhomogeneous damped wave equation and the inhomogeneous heat equation with moving boundary. We give rigorous and explicit estimates and show the uniform convergence.
Enos D'Ambrogio
Making use of a recently developed quasi-linear formulation of 1D Vlasov equation, we derive the balance relations for the space-averaged distribution function and spectral power density. The validity-range in the short-time behaviour as well as in the ti... see more
Philip G. Drazin
This is a review of several generalizations of Hiemenz's classic solution for steady two-dimensional flow of a uniform incompressible viscous fluid near a stagnation point on a bluff body. These generalizations are diverse exact solutions, steady and unst... see more
Ester Gabetta, Lorenzo Pareschi
We investigate the large-time behaviour of the fully discretized version both of the three velocity Broadwell model and of the four velocity model in a strip. We analyze the different behaviours on the light of some recent results by M. Slemrod [7] and C.... see more
M. Gentile, S. Rionero
Two uniqueness theorems for an isothermal mixture of two miscible fluids are proved. The mixture F is incompressible in a generalized sense and able of exerting Korteweg stresses.
J. M. Greenberg
At the conclusion of I. Bonzani's presentation on the existence of structured shock solutions to the six-velocity, planar, discrete Boltzmann equation (with binary and triple collisions), Greenberg asked whether such solutions were possible in directions ... see more
Gabriele Guerriero
The global existence and L^1-asymptotic stability of the solutions to a nonlinear evolution problem, in the diffusion of the particles of a mixture, is proved.
Morton E. Gurtin
Recent studies of Gurtin [8,9,10], Angenent and Gurtin [4], and Gurtin and Struthers [15] form an investigation whose goal is a nonequilibrium thermodynamics of two-phase continua in which the interface is sharp and endowed with energy, entropy and superf... see more
Esin Inan
The longitudinal waves in thermoelastic bars are investigated in the context of nonlocal theory. Using integral forms of constitutive equations, balance of momenta and energy, field equations are obtained. Then the frequency equation is found in generaliz... see more
G. M. Kremer, Ingo Müller
This paper presents a thermodynamic theory of light and sound. It demonstrates that extended thermodynamics permits the explicit calculation of the main part of the equations of balance of energy for photons and phonons. Wave speeds are calculated and the... see more
Armando Majorana, Orazio Muscato
The shock structure problem is investigated in the framework of the Eckart theory of irreversible thermodynamics in the ultra relativistic limit. It is considered a neutrino gas and a gas in the approximation of hard sphere model.
Armando Majorana, Giovanni Russo
Two thermodynamic models of semiconductor device are considered. The first one takes into account thermal and collisional effects, while neglecting viscous terms, which are included in the second. A qualitative analysis of stationary one-dimensional solut... see more
P. Maremonti, R. Russo
Estimates on the asymptotic behaviour of solutions to a parabolic equation are given, when the I.B.V.P. is posed in particular domains. More precisely, the domain O is unbounded, unbounded in any direction, and O is enclosed in a wedge or in a cone of two... see more
Gerard A. Maugin, Hichem Hadouaj, Boris A. Malomed
A generalization of the well known Zakharov system of ionacoustic waves (Langmuir solitons) has been obtained while studying the coupling between shear-horizontal surface waves and Rayleigh surface waves propagating on a structure made of a nonlinear elas... see more
R. Monaco
The paper is a review of shock wave propagation problems for inert and chemically reacting gases in the framework of discrete velocity models (Discrete Boltzmann Equation, DBE). The paper is divided in two parts. The former deals with the formulation of s... see more
Adriano Montanaro
Can it be useful to use discontinuous jump-processes in order to formulate a somewhat different thermodynamic theory for a general simple body with fading memory? In this communication I will present the results of paper [9], where the above question is i... see more
Giuseppe Mulone
The nonlinear stability of plane parallel convective flows of a binary fluid mixture in the Oberbeck-Boussinesq scheme is studied in the stress-free boundary case. Nonlinear stability conditions independent of Reynolds number are proved.
Salvatore Pennisi
A recently obtained warm plasma model is here considered and the speeds of propagation of the discontinuity waves are calculated. These speeds, relative to the fluid, are 0, ±\sqrt{7/15}e ,±\sqrt{3/5}e, ±\sqrt{1/3}, where e is the smallest parameter invar... see more
Paolo Podio-Guidugli
An exact derivation from three-dimensional elasticity of a model equation for the longitudinal vibrations of a cylindrical elastic rod is presented, based on the results of [1]. Similarities and differences are discussed with the model of [2], whose study... see more
Jacek Polewczak
Systematic development of various Liapunov functionals (generalizations of the H-functions) in the kinetic theory is studied. The functional are monotone functions of time, whose stationary points determine the equilibria of the system governed by the cor... see more
L. Preziosi
This paper deals with an initial-boundary value problem for the discrete Boltzmann equation confined between two moving walls at different temperature. A model suitable for the quantitative analysis of the initial boundary value problem and the relative e... see more
K. R. Rajagopal
Unsteady motions are discussed within the context of the linearized theory of elasticity, the neo-Hookean theory of elasticity and the theory of interacting continua. In the last case, we discuss unsteady motions in an isotropic solid infused with a fluid... see more
Riccardo Ricci
We investigate the stability of traveling wave solutions of the one-dimensional supercooled Stefan problem and other related problem. A complete characterization of the set of initial data under which the free boundary is asymptotic to a traveling wave fr... see more
Vittorio Romano
Explicit flux-limited expression are obtained for relativistic radiation energy flux and stress tensor in the case of small shear.
A. Rossani
Exact polysoliton solutions are given for plane discrete velocity models of a gas with chemical reactions. A technique due to Osland and Wu is systematically applied [3].
T. Ruggeri
A generalized non linear Maxwell-Cattaneo equation is used to study shock waves propagating in a rigid heat conductor at low temperature. Taking into account the experimental values for the second sound velocity, the existence of a critical temperature ch... see more
Remigio Russo
This talk, which is mainly expository and based on [2-5], discusses the hyperbolicity conditions in linear elastodynamics. Particular emphasis is devoted to the key role it plays in the uniqueness questions associated with the mixed boundary-initial value... see more
Giovanni Russo, John Hunter
<!-- @page { size: 21cm 29.7cm; margin: 2cm } --> A new asymptotic method is derived for the study of the evolution of weak shocks in several dimension. The method is based on the Generalized Wavefront Expansion derived in [1]. In that paper the p... see more
L. Salvadori
In connection with the problem of observability, properties of total stability restricted to classes of perturbations of the governing equations are discussed for the equilibrium of holonomic mechanical systems. These systems are subject to positional con... see more
C. Sean Bohun, Reinhard Illner, Paul F. Zweifel
We discuss the derivation of the quantum Liouville equation and the Wigner-Poisson system (or quantum Vlasov equation) from elementary quantum mechanical principles via the Wigner transformation.
Marshall Slemrod
This report discusses a new approach to the resolution of the fluid dynamic limit for the Broadwell system modeling gas dynamics. The main idea is to replace the Knudsen number e in the Broadwell model by et , t the time variable to obtain self similar so... see more
V. A. Solonnikov
We consider a free boundary problem of incompressible viscous flow governing the motion of an isolated liquid mass. The liquid is subjected to capillary forces at the boundary and the coefficient of the surface tension depends on the temperature satisfyin... see more
Brian Straughan
Classes of linear instability and nonlinear stability problems are discussed in the fields of electrodynamics, ferrohydrodynamics and magnetohydrodynamics.
Maria Luisa Tonon
In this paper we study the propagation of shock waves in linear hyperelastic rods, transversely isotropic in the reference configuration.
G. Toscani
We study the trend towards equilibrium of the solution of the spatially homogeneous Boltzmann equation for a gas of Maxwellian molecules. The cases of axially symmetric and plane initial densities are investigated. In these situations, the strong L1conver... see more
Yi-Chao Chen
Experimental observations have revealed certain non-axisymmetric deformations at the initial stage of necking. This phenomenon is studied in this paper by using an energy stability criterion. It is shown that before the onset of axisymmetric necking, a no... see more
Giovanni P. Galdi
In this paper we shall consider the existence of solutions to a Navier-Stokes boundary value problem; such a problem governs the distribution of velocity and pressure fields in the steady motions of an incompressible, viscous fluid moving in the region O ... see more