AI 中文总结
研究晨光彩云模型强解的整体适定性，假设初始速度\(v_0\in H^1\)和热力学强迫项\(K\in L^2(0,T;L^2)\)，证明该系统初边值问题存在唯一整体强解，突破了现有文献仅对小初始数据有类似结果的局限。
AI 中文摘要
本文研究了由Constantin-Johnson最近推导的一个描述对流层非线性波传播，特别是针对晨光彩云的模型强解的整体适定性。假设初始速度\(v_0\in H^1\)且热力学强迫项\(K\in L^2(0,T;L^2)\)，证明了该系统的初边值问题存在唯一的整体强解。现有文献中之前仅对充分小的初始数据有类似结果。
英文摘要
In this paper, we investigate the global well-posedness of strong solution to a model recently derived by Constantin-Johnson \cite{CaJo} which describes the nonlinear wave propagation in the troposphere, especially for the morning glory cloud. Assuming that the initial velocity $v_0\in H^1$ and the thermodynamic forcing term $K\in L^2(0,T;L^2)$, we show that there exists a unique global strong solution to the initial boundary value problem of this system. Similar result was only known before for sufficiently small initial data in the existing literature.
