On the well-posedness of the anisotropically-reduced two-dimensional Kuramoto-Sivashinsky Equation
2022 ◽
Vol 0
(0)
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pp. 0
Keyword(s):
<p style='text-indent:20px;'>We address the global existence and uniqueness of solutions for the anisotropically reduced 2D Kuramoto-Sivashinsky equations in a periodic domain with initial data <inline-formula><tex-math id="M1">\begin{document}$ u_{01} \in L^2 $\end{document}</tex-math></inline-formula> and <inline-formula><tex-math id="M2">\begin{document}$ u_{02} \in H^{-1 + \eta} $\end{document}</tex-math></inline-formula> for <inline-formula><tex-math id="M3">\begin{document}$ \eta > 0 $\end{document}</tex-math></inline-formula>.</p>
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