Shock factor with parabolic semi- linear multi- sc -

e054831577

Shock factor with parabolic semi- linear multi- scale asymptotic expansion and its convergence analysis

H +). .) = H),[link widoczny dla zalogowanych], the QX [0, T] the j: 0, in the Oft × [0,] on (3.4 ) 【 (, 0) = / gO (), within the Q from ( 2.1 ) And (3.4 ) and Hutchison =- H, there to meet : r = div (A.) = 0, the QX [0, T] in { = 0, Oft × [0, T] on the (3 .5 ) 【 (, 0) = 0 , in Q in the equation ( 3.5) Regularity of Solutions to know : =- H = 0, ie : = H. show that the asymptotic expansion as in ( 2.2) by Instructions. similar to the paper [ 9] methods and techniques , we have the following theorem: Theorem 3.1 Let Q be a smooth convex domain in R ∈ C (0,; (Q)), A '= A ( c ) and A cycle is a uniformly bounded matrix . asymptotic expansion as in ( 2.2 ) shows, if the HEC (0,; (Q)), Ⅳ, ∈ (Q) (k, Z = 1,2) . then have the following estimation Wesoły

()。 delete (n)) ≤ ÷ (3.6) The main results are given below : Theorem 3.2 and Theorem 3.1 in the same assumptions, are: ) (). sampan (n)) ≤ Temple (3.7 ) to prove ≤ + ÷ ≤ ÷ where C is independent of total and constant, but may not be equal.

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