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On the well-posedness of the anisotropically-reduced two-dimensional Kuramoto-Sivashinsky Equation

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  • We address the global existence and uniqueness of solutions for the anisotropically reduced 2D Kuramoto-Sivashinsky equations in a periodic domain with initial data $ u_{01} \in L^2 $ and $ u_{02} \in H^{-1 + \eta} $ for $ \eta > 0 $.

    Mathematics Subject Classification: Primary: 35K25, 35A01.


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