New Bounds for the Inhomogenous Burgers and the Kuramoto-Sivashinsky Equations
نویسندگان
چکیده
منابع مشابه
Optimal Parameter-dependent Bounds for Kuramoto-sivashinsky-type Equations
We derive a priori estimates on the absorbing ball in L2 for the stabilized and destabilized Kuramoto-Sivashinsky (KS) equations, and for a sixth-order analog, the Nikolaevskiy equation, and in each case obtain bounds whose parameter dependence is demonstrably optimal. This is done by extending a Lyapunov function construction developed by Bronski and Gambill (Nonlinearity 19, 2023–2039 (2006))...
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ژورنال
عنوان ژورنال: Communications in Partial Differential Equations
سال: 2015
ISSN: 0360-5302,1532-4133
DOI: 10.1080/03605302.2015.1076003