Desingularization of Vortex Rings and Shallow Water Vortices by a Semilinear Elliptic Problem
نویسندگان
چکیده
منابع مشابه
On a singular nonlinear semilinear elliptic problem
where K(x)μC2,b(V9 ), a, pμ(0, 1) and l is a real parameter. Such singular elliptic problems arise in the contexts of chemical heterogeneous catalysts, nonNewtonian fluids and also the theory of heat conduction in electrically conducting materials, see [3, 5, 8, 9] for a detailed discussion. Obviously (1.1) cannot have a solution uμC2(V9 ) if K(x) is not vanishing near ∂V. However, under variou...
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2013
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-013-0647-3