论文标题
非线性传输方程和准图形图
Nonlinear transport equations and quasiconformal maps
论文作者
论文摘要
我们证明了在平面中非线性传输方程的溶液，为此，速度场作为经典的cauchy内核的卷积获得了未知。即使初始基准受到界限并紧凑，速度字段也可能具有无限的差异。该证明基于准文化映射的紧凑型属性。
We prove existence of solutions to a nonlinear transport equation in the plane, for which the velocity field is obtained as the convolution of the classical Cauchy Kernel with the unknown. Even though the initial datum is bounded and compactly supported, the velocity field may have unbounded divergence. The proof is based on the compactness property of quasiconformal mappings.
