One Dimensional Turbulence And The Stochastic Burgers Equation

This book addresses the interplay between stochastic processes and partial differential equations. More specifically, it focuses on the connection between the nonlinear p-Laplace equation and the stochastic game called tug-of-war with noise. The connection in this context was discovered approximately 15 years ago and has since provided new insights and approaches. These lecture notes provide a brief but detailed and accessible introduction to the subject and to the more research-oriented literature. The book also presents the parabolic case side by side with the elliptic case, highlighting the fact that elliptic and parabolic equations are close in spirit in certain aspects. Moreover, it covers some parts of the regularity theory for these problems.

This textbook presents finite element methods using exclusively one-dimensional elements. It presents the complex methodology in an easily understandable but mathematically correct fashion. The approach of one-dimensional elements enables the reader to focus on the understanding of the principles of basic and advanced mechanical problems. The reader will easily understand the assumptions and limitations of mechanical modeling as well as the underlying physics without struggling with complex mathematics. Although the description is easy, it remains scientifically correct.

The basic idea of this introduction to the finite element method is based on the concept of explaining the complex method using only one-dimensional elements. Thus, the mathematical description remains largely simple and straightforward. The emphasis in each chapter is on explaining the method and understanding it itself. The reader learns to understand the assumptions and derivations in various physical problems in structural mechanics and to critically assess the possibilities and limitations of the finite element method.

2009 digitally remastered and expanded digipak edition of the classic Banshees album from 1984 featuring three bonus tracks including the Glamour Mix of 'Dazzle' and the previously unreleased songs 'Baby Piano - Part One' and 'Baby Piano - Part Two' featuring Robert Smith of The Cure. Siouxsie & The Banshees began life as a Punk outfit (with Sid Vicious on drums, no less!) before mutating into Post-Punkers on their way to becoming one of the most influential Goth Rock band on the scene. To this day, over 10 years after their disintegration, the band's fanatical fan base continues to grow.