论文标题
Lorentz在集体行为模型引起的无加压系统上的行动空间
Lorentz spaces in action on pressureless systems arising from models of collective behavior
论文作者
论文摘要
我们关注的是全球及时的存在和独特性结果，这些模型在描述天体物理学或集体行为现象中出现的无压气体模型。 初始数据很粗糙：特别是，密度仅是界限的。我们的结果基于插值和抛物线最大规律性，其中洛伦兹的空间起着关键作用。 我们在$ l_ {q，r}（0，t; l_p（ω））$空间中建立了抛物线系统的新颖最大规律性估计。
We are concerned with global-in-time existence and uniqueness results for models of pressureless gases that come up in the description of phenomena in astrophysics or collective behavior. The initial data are rough: in particular, the density is only bounded. Our results are based on interpolation and parabolic maximal regularity, where Lorentz spaces play a key role. We establish a novel maximal regularity estimate for parabolic systems in $L_{q,r}(0,T;L_p(Ω))$ spaces.
