Rocky Mountain Summer School: Conservation Laws & Applications

该奖项支持2010年6月22日至7月2日在怀俄明大学举办的暑期学校项目“保护法和应用”的参与者的旅费。这个暑期班是落基山数学联合会(RMMC)组织和赞助的年度计划的一部分，重点是了解守恒定律的最新发展。该计划以该主题的教程开始，然后是向参与者介绍当前研究的讲座。该计划旨在平衡守恒定律的数学、计算和建模方面，旨在让参与者，特别是研究生，接触该领域当前活跃的研究领域。守恒定律(或称平衡律)是偏微分方程组，作为各种物理现象的模型自然产生，包括流体动力学、磁流体动力学、燃烧、石油回收和非线性弹性。这个暑期计划的重点是在理解这些方程方面的最新进展。从快速教程阶段开始，该计划将使参与者接触到当前活跃的研究领域，并帮助他们为解决该领域的公开问题做好准备。该计划将涉及保护法的理论和计算方面，并将突出保护法发挥核心作用的应用领域(旧的和新的)。鼓励和支持在数学方面代表性不足的群体的成员参与。暑期学校网站：http://math.uwyo.edu/rmmc/2010/

This award supports travel for participants in the summer school program "Conservation Laws and Applications," held at the University of Wyoming on June 22 through July 2, 2010. This summer school, part of an annual program organized and sponsored by the Rocky Mountain Mathematics Consortium (RMMC), focuses on recent developments in the understanding of conservation laws. The program begins with a tutorial on the subject, followed by lectures to introduce the participants to current research. The program is designed to balance the mathematical, computational, and modeling aspects of conservation laws, and it aims to expose participants, especially graduate students, to current areas of active research in the field.Conservation Laws (or balance laws) are systems of partial differential equations that arise naturally as models for a variety of physical phenomena, including fluid dynamics, magneto-hydrodynamics, combustion, oil recovery, and nonlinear elasticity. The focus of this summer program is on recent developments in the understanding of such equations. Beginning with a rapid tutorial phase, the program will expose participants to current areas of active research and help prepare them to pursue open problems in the field. The program will touch on both theoretical and computational aspects of conservation laws, and application areas (old and new) in which conservation laws play a central role will be highlighted. Participation of members of groups underrepresented in mathematics is encouraged and supported.Summer school web site: http://math.uwyo.edu/rmmc/2010/