Mathematical Sciences: Linear and Nonlinear Wave Motion

8902387 Rauch 主要研究者将研究定性 双曲型偏微分方程解的性质 方程 这些方程决定了 可以携带尖锐信号的波的传播。 研究 将由尖峰锋和高频波组成 训练非线性方程的解。 另一个主要领域 研究是对控制、观察或 稳定一个区域内的波浪。 解的行为的理解 双曲型偏微分方程在许多 应用领域。

8902387 Rauch The principal investigator will study the qualitative behavior of solutions of hyperbolic partial differential equations. These are the equations which govern the propagation of waves which can carry sharp signals. Studies will be made of sharply peaked fronts and high frequency wave train solutions for nonlinear equations. Another main area of research is the study of the control, observation, or stabilization of waves in a region. The understanding of the behavior of solutions of hyperbolic partial differential equations is important in many fields of application.