论文标题
D维热带气候模型的局部弱解决方案的存在和独特性,而无与伦比的BESOV空间中没有热扩散
Existence and uniqueness of local weak solution of d-dimensional tropical climate model without thermal diffusion in inhomogeneous Besov space
论文作者
论文摘要
本文研究了没有热扩散的D维热带气候模型的局部弱解的存在和独特性。我们确定,当$α=β\ geq1 $,$η= 0 $时,任何初始数据$(u_ {0},v_ {0})\ in B_ {2,1}^{1+ \ frac {d} {d} {2} {2} {2}-2α}-2α} - b_ {2,1}^{1+ \ frac {d} {2}-α}(\ mathbb {r}^{d})$产生独特的弱解决方案。
This paper studies the existence and uniqueness of local weak solutions to the d-dimensional tropical climate model without thermal diffusion. We establish that, when $α=β\geq1$, $η=0$, any initial data $(u_{0},v_{0})\in B_{2,1}^{1+\frac{d}{2}-2α}(\mathbb{R}^{d})$ and $θ_{0}\in B_{2,1}^{1+\frac{d}{2}-α}(\mathbb{R}^{d})$ yields a unique weak solution.