Uniqueness of Weak Solutions to an Electrohydrodynamics Model
نویسندگان
چکیده
منابع مشابه
Uniqueness of Weak Solutions to an Electrohydrodynamics Model
and Applied Analysis 3 Theorem 1.1. Let n0, p0 ∈ L1 R2 ∩ L logL R2 , n0, p0 ≥ 0 in R2, ∫ n0 dx ∫ p0 dx,∇φ0 ∈ L2, and u0 ∈ L2. Then there exists a unique weak solution u, n, p, φ to the problem 1.1 – 1.6 satisfying ( n, p ) ∈ L∞0, T ;L1 ∩ L logL ∩ L20, T ;L2 ∩ L4/30, T ;W1,4/3, n, p ≥ 0 in R2 × 0, T ( ∂tn, ∂tp ) ∈ L4/30, T ;W−1,4/3, ∇φ ∈ L∞0, T ;L2 ∩ L20, T ;H1 ∩ L40, T ;L4, u ∈ L∞0, T ;L2 ∩ L20...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2012
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2012/864186