Rate of Convergence to Self-Similarity for Smoluchowski's Coagulation Equation with Constant Coefficients
نویسندگان
چکیده
منابع مشابه
Rate of Convergence to Self-Similarity for Smoluchowski's Coagulation Equation with Constant Coefficients
We show that solutions to Smoluchowski’s equation with a constant coagulation kernel and an initial datum with some regularity and exponentially decaying tail converge exponentially fast to a selfsimilar profile. This convergence holds in a weighted Sobolev norm which implies the L2 convergence of derivatives up to a certain order k depending on the regularity of the initial condition. We prove...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2010
ISSN: 0036-1410,1095-7154
DOI: 10.1137/08074091x