Divergent Expansion, Borel Summability and 3-D Navier-Stokes ...

Description

• exposé - matière potentielle : on estimates
• exposé

Divergent Expansion, Borel Summability and 3-D Navier-Stokes Equation By Ovidiu Costin, Guo Luo and Saleh Tanveer Department of Mathematics, Ohio State University, OH 43210, USA We describe how Borel summability of divergent asymptotic expansion can be ex- panded and applied to nonlinear partial differential equations (PDEs). While Borel summation does not apply for nonanalytic initial data, the present approach gen- erates an integral equation applicable to much more general data.

• terms of the truncation error
• classical solution
• integral term
• borel sum
• global existence
• integral equation
• solution
• series
• problem

Sujets

• Exposé
• Stuart
• Divergent series
• Summation
• Ohio State University
• Society
• Solution

Informations

• Publié par: edwui
• Nombre de lectures: 19
• Langue: English

Extrait

Game Theory An Open, Online Classroom Professors Matthew O. Jackson and Yoav Shoham March–April, 2012 [The latest news is that the university will approve the launch of some of the new online courses by early March, and we will launch as soon as they do.]

Website:http://www.game-theory-class.org/

Overview Popularized by movies such as “A Beautiful Mind,” game theory is the mathematical modeling of strategic interaction among rational (and irra- tional) agents.Beyond what we call ‘games’ in common language, such as chess, poker, soccer, etc., it includes the modeling of conflict among nations, political campaigns, competition among firms, and trading behavior in mar- kets such as the NYSE. How could you begin to model keyword auctions, and peer to peer file-sharing networks, without accounting for the incentives of the people using them?The course will provide the basics:represent- ing games and strategies, the extensive form (which computer scientists call game trees), Bayesian games (modeling things like auctions), repeated and stochastic games, and more.We’ll include a variety of examples including classic games and a few applications.

Requirements/Prerequisities You must be comfortable with mathematical thinking and rigorous argu- ments. Relativelylittle specific math is required; you should be familiar with basic probability theory (for example, you should know what a conditional probability is).

Course Structure The class will run over five weeks, starting (tentatively) on February 15, 2012. Itwill consist of lecture videos, which are broken into small chunks, usually between eight and twelve minutes each.There will be approximately two hours worth of video content per week, and thus about ten hours overall. You may watch the lecture videos at your convenience.Some of chunks will contain integrated short “quiz” questions to gauge your understanding, which you will be asked to answer while watching the lecture.There will 1