Dust and self-similarity for the Smoluchowski coagulation equation
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چکیده
منابع مشابه
Dust and self-similarity for the Smoluchowski coagulation equation
We establish the well-posedness of the Cauchy problem for the Smoluchowski coagulation equation in the homogeneous space L̇1 for a class of homogeneous coagulation rates of degree λ ∈ [0, 2). For any initial datum fin ∈ L̇1 we build a weak solution which conserves the mass when λ ≤ 1 and loses mass in finite time (gelation phenomena) when λ > 1. We then extend the existence result to a measure fr...
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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: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2006
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2005.05.001