G-CONVERGENCE AND HOMOGENIZATION OF MONOTONE DAMPED HYPERBOLIC EQUATIONS

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NGUETSENG G.; NNANG H.; SVANSTEDT N.

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Journal Paper

Paper Information

Journal: BANACH JOURNAL OF MATHEMATICAL ANALYSIS Year:2010 | Volume:4 | Issue:1 Page(s): 100-115

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Information Journal Paper

Title

G-CONVERGENCE AND HOMOGENIZATION OF MONOTONE DAMPED HYPERBOLIC EQUATIONS

Author(s)

NGUETSENG G. | NNANG H. | SVANSTEDT N. | Issue Writer Certificate

Keywords

G-CONVERGENCE

MULTISCALE

STOCHASTIC

HOMOGENIZATION

ELLIPTIC

PARABOLIC

HYPERBOLIC

Abstract

Multiscale STOCHASTIC HOMOGENIZATION is studied for quasilinear HYPERBOLIC problems. We consider the asymptotic behaviour of a sequence of realizations of the form ¶2uw/¶t2-div (a(T1 (x/e1)w1, T2(x/e2)w2, t, Duwe))-D(¶uwe/¶t)+
G(T3(x/¶3)w3, t, ¶uw/¶t) = ¦. It is shown, under certain structure assumptions
on the random maps a (w1,w2,t,x) and G(w3, t, h), that the sequence {uwe} of solutions converges weakly in Lp (0, T, W1,P0(W)) to the solution u of the homogenized problem ¶2u/¶t2-div (b(t, Du))-D (¶u/¶t)+Ḡ (t, ¶u/¶t)= ¦.

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APA: Copy

NGUETSENG, G., NNANG, H., & SVANSTEDT, N.. (2010). G-CONVERGENCE AND HOMOGENIZATION OF MONOTONE DAMPED HYPERBOLIC EQUATIONS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 4(1), 100-115. SID. https://sid.ir/paper/316918/en

Vancouver: Copy

NGUETSENG G., NNANG H., SVANSTEDT N.. G-CONVERGENCE AND HOMOGENIZATION OF MONOTONE DAMPED HYPERBOLIC EQUATIONS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS[Internet]. 2010;4(1):100-115. Available from: https://sid.ir/paper/316918/en

IEEE: Copy

G. NGUETSENG, H. NNANG, and N. SVANSTEDT, “G-CONVERGENCE AND HOMOGENIZATION OF MONOTONE DAMPED HYPERBOLIC EQUATIONS,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 4, no. 1, pp. 100–115, 2010, [Online]. Available: https://sid.ir/paper/316918/en

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