Workshop: Stability of solitary waves, May 25-30, 2014

该项目旨在促进美国数学家参加将于5月25日至5月30日在意大利比萨举行的“孤波稳定性”研讨会。孤立波在广泛的物理现象中无处不在，从海洋中的胭脂波到光纤中的信号传播。孤立波的稳定性对物理过程至关重要，与工程应用直接相关。例如，通过光通道传输信号只有当相应脉冲的形状在传输过程中不恶化，即当它们稳定时，才可行。该研讨会将提供一个场所，以刺激美国和欧洲在孤立波稳定性领域的领先数学家之间的思想交流。它将使许多来自美国的年轻研究人员和研究生接触到顶尖数学家的基础研究。非正式会议将为初级研究人员和研究生提供与该领域专家互动的充分机会。一项特别的努力是为了吸引在数学领域代表性不足的群体的参与者。研讨会将有三个主要的重点领域-孤立波的存在，谱/线性稳定性和它们各自的非线性稳定性。这些领域的研究提供的具体信息为我们理解孤立波提供了至关重要的信息。

The project is aimed at facilitating participation of US mathematicians in the workshop "Stability of Solitary Waves" to be held May 25-May 30th, in Pisa, Italy. Solitary waves are ubiquitous in a broad range of physical phenomena, from rouge waves in the ocean to the signal propagation in optical fibers. Stability of solitary waves is of paramount importance for the physical processes, with direct relevance to engineering applications. For example, transmission of a signal through an optical channel is feasible only if the shapes of the corresponding pulses do not deteriorate during the transmission, i.e., when they are stable. The workshop will provide a venue to stimulate exchange of ideas among the leading US and European mathematicians in the areas of stability of solitary waves. It will expose a number of young researchers and graduate students from the US to fundamental research by leading mathematicians. The informal sessions will provide ample opportunities for junior researchers and graduate students to interact with experts in the fields. A special effort is made to attract participants from the groups underrepresented in mathematics.The workshop will have three main focus areas - existence of solitary waves, the spectral/linear stability, and their respective nonlinear stability. The specific information provided by the studies in each of these areas contributes crucial information to our understanding of solitary waves.