Progress in Partial Differential Equations

Progress in Partial Differential Equations

Author: Michel Chipot

Publisher: CRC Press

Published: 1995-05-15

Total Pages: 244

ISBN-13: 9780582253803

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Presents some recent advances in various important domains of partial differential equations and applied mathematics including harmonic maps, Ginzburg - Landau energy, liquid crystals, superconductivity, homogenization and oscillations, dynamical systems and inertial manifolds. These topics are now part of various areas of science and have experienced tremendous development during the last decades.


Frontiers in Pure and Applied Mathematics

Frontiers in Pure and Applied Mathematics

Author: Robert Dautray

Publisher:

Published: 1991

Total Pages: 332

ISBN-13:

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The sixtieth birthday of the eminent mathematician, Jacques-Louis Lions, was celebrated in Paris with a gathering of his friends from the scientific community all over the world. Several hundred scientists met for a week at the Sorbonne and nineteen of the lectures they delivered have been collected in this unique volume, which is an investigation of the frontiers of mathematics.


11th International Conference on Numerical Methods in Fluid Dynamics

11th International Conference on Numerical Methods in Fluid Dynamics

Author: Douglas L. Dwoyer

Publisher:

Published: 1989

Total Pages: 648

ISBN-13:

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Along with almost a hundred research communications this volume contains six invited lectures of lasting value. They cover modeling in plasma dynamics, the use of parallel computing for simulations and the applications of multigrid methods to Navier-Stokes equations, as well as other surveys on important techniques. An inaugural talk on computational fluid dynamics and a survey that relates dynamical systems, turbulence and numerical solutions of the Navier-Stokes equations give an exciting view on scientific computing and its importance for engineering, physics and mathematics.


Introduction to the Thermodynamics of Solids

Introduction to the Thermodynamics of Solids

Author: J. L. Ericksen

Publisher: Chapman and Hall/CRC

Published: 1991-06-06

Total Pages: 222

ISBN-13:

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The main aim of this volume is to introduce and illustrate current practice in research on nonlinear phenomena encountered in solids. Strategies for designing experiments to determine equations of state are discussed, as are examples of thermodynamic stability theory.


Multiscale Modeling and Analysis for Materials Simulation

Multiscale Modeling and Analysis for Materials Simulation

Author: Weizhu Bao

Publisher: World Scientific

Published: 2012

Total Pages: 285

ISBN-13: 9814360899

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The Institute for Mathematical Sciences at the National University of Singapore hosted a two-month research program on "Mathematical Theory and Numerical Methods for Computational Materials Simulation and Design" from 1 July to 31 August 2009. As an important part of the program, tutorials and special lectures were given by leading experts in the fields for participating graduate students and junior researchers. This invaluable volume collects four expanded lecture notes with self-contained tutorials. They cover a number of aspects on multiscale modeling, analysis and simulations for problems arising from materials science including some critical components in computational prediction of materials properties such as the multiscale properties of complex materials, properties of defects, interfaces and material microstructures under different conditions, critical issues in developing efficient numerical methods and analytic frameworks for complex and multiscale materials models. This volume serves to inspire graduate students and researchers who choose to embark into original research work in these fields.