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The workshop "Nonhnear MHD Waves and Turbulence" was held at the - servatoire de Nice, December 1-4, 1998 and brought together an international group of experts in plasma physics, fluid dynamics and applied mathematics. The aim of the meeting was to survey the current knowledge on two main topics: (i) propagation of plasma waves (like Alfven, whistler or ion-acoustic waves), their instabilities and the development of a nonlinear dynamics lea ding to solitonic structures, wave collapse or weak turbulence; (ii) turbulence in magnetohydrodynamic flows and its reduced description in the presence...

This book collects together recent results on large-scale structures in non-linear science. Coherent states, convective and turbulent patterns, inverse cascades, interfaces and cooperative phenomena in fluids and plasmas are discussed, together with the implementation of concepts of statistical mechanics to particle physics and nuclear matter. Special attention is devoted to phenomena, such as mixing, which display macroscopicfeatures, even though generated by small-scale dynamical processes. In this context, homoclinic structure, the KAM theorem, Lyapunov stability,and singularities are...

In the late 1990s there has been a dramatic increase in the number of mathematical models developed to tackle geomechanics problems, largely as a result of the increasing availability and power of computers and the parallel evolution of versatile numerical techniques. This text examines the experimental and theoretical aspects of the pre-failure and post-failure behaviour of geomaterials within the frame of bifurcation theory. Coverage includes basic continuum mechanics for dry and fluid infiltrated porous media, bifurcation and stability analyses applied to layered geological media and...