SYMMETRY IN REARRANGEMENT OPTIMIZATION PROBLEMS
SYMMETRY IN REARRANGEMENT OPTIMIZATION PROBLEMS
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发表时间：
2009
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通讯作者：
B. Emamizadeh;J. Prajapat
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作者：
B. Emamizadeh;J. Prajapat
本文涉及两个重排优化问题。第一个问题是由物理实验激发的，其中寻找一种由多种材料制成的弹性膜，固定在边界处，使其频率最小。我们捕获最佳解决方案的一些特征，并证明对称性。第二个优化问题是由理想流体流过海山的物理情况引起的，这会导致海山上方形成涡流。在这个问题中，我们解决存在性和对称性。
This article concerns two rearrangement optimization problems. The first problem is motivated by a physical experiment in which an elastic membrane is sought, built out of several materials, fixed at the boundary, such that its frequency is minimal. We capture some features of the optimal solutions, and prove a symmetry property. The second optimization prob- lem is motivated by the physical situation in which an ideal fluid flows over a seamount, and this causes vortex formation above the seamount. In this problem we address existence and symmetry.