分支输运的Modica-Mortola近似
A Modica-Mortola approximation for branched transport
摘要：
利用定义在更正则的向量场上的椭圆能量序列来近似（并证明了收敛性）具有给定发散度的奇异1维可求长向量测度的分支输运问题中通常最小的M^α能量.该方法采用Modica-Mortola方法近似周长，用凹幂代替双势阱势。
英文摘要：
The M^αenergy which is usually minimized in branched transport problems among singular 1-dimensional rectifiable vector measures with prescribed divergence is approximated (and convergence is proved) by means of a sequence of elliptic energies, defined on more regular vector fields. The procedure recalls the Modica-Mortola one for approximating the perimeter, and the double-well potential is replaced by a concave power.
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