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pro vyhledávání: '"David Massatt"'
Autor:
David Massatt, Igor Kukavica
Publikováno v:
Journal of Dynamics and Differential Equations. 35:69-85
We address the global existence of solutions for the 2D Kuramoto-Sivashinsky equations in a periodic domain $$[0,L_1]\times [0,L_2]$$ with initial data satisfying $$\Vert u_0\Vert _{L^2}\le C^{-1}L_2^{-2}$$ , where C is a constant. We prove that the
Autor:
David Massatt
Publikováno v:
Discrete and Continuous Dynamical Systems - B. 27:6023
We address the global existence and uniqueness of solutions for the anisotropically reduced 2D Kuramoto-Sivashinsky equations in a periodic domain with initial data \begin{document}$ u_{01} \in L^2 $\end{document} and \begin{document}$ u_{02} \in H^{