带状Kawahara-Burgers方程
Kawahara-Burgers equation on a strip
摘要：
研究了二维Kawahara-Burgers方程在沟道型带上的初边值问题.证明了在提升范数下正则解和弱解在$L^2$ -范数下的存在性和唯一性，以及不受带宽限制的小解的指数衰减性.
英文摘要：
An initial-boundary value problem for the 2D Kawahara-Burgers equation posed on a channel-type strip was considered. The existence and uniqueness results for regular and weak solutions in weighted spaces as well as exponential decay of small solutions without restrictions on the width of a strip were proven both for regular solutions in an elevated norm and for weak solutions in the $L^2$-norm.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
