论文标题
多维等欧拉方程的最小加速度
Minimal acceleration for the multi-dimensional isentropic Euler equations
论文作者
论文摘要
在多维等欧欧式方程中，我们通过始终比较加速度来引入准阶。对于耗散溶液的合适融合概念，该准阶是连续的。我们确定了最小元素的存在。最小化加速度等于选择尽可能接近弱解的耗散溶液。
On the set of dissipative solutions to the multi-dimensional isentropic Euler equations we introduce a quasi-order by comparing the acceleration at all times. This quasi-order is continuous with respect to a suitable notion of convergence of dissipative solutions. We establish the existence of minimal elements. Minimizing the acceleration amounts to selecting dissipative solutions that are as close to being a weak solution as possible.
