Non-vanishing profiles for the Kuramoto–Sivashinsky equation on the infinite line
نویسندگان
چکیده
منابع مشابه
Non-Vanishing Profiles for the Kuramoto-Sivashinsky Equation on the Infinite Line
We study the Kuramoto-Sivashinsky equation on the infinite line with initial conditions having arbitrarily large limits ±Y at x = ±∞. We show that the solutions have the same limits for all positive times. This implies that an attractor for this equation cannot be defined in L∞. To prove this, we consider profiles with limits at x = ±∞, and show that initial conditions L-close to such profiles ...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2004
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/17/4/012