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Homogenization of nonlinear hyperbolic stochastic equation via Tartar’s method
- Source :
- Journal of Hyperbolic Differential Equations. 14:323-340
- Publication Year :
- 2017
- Publisher :
- World Scientific Pub Co Pte Lt, 2017.
-
Abstract
- In this paper, We establish new homogenization results for stochastic nonlinear hyperbolic equations with periodically oscillating coefficients. We use a delicate blending of Tartar’s method of oscillating test functions and deep probabilistic compactness results due to Prokhorov and Skorokhod. We prove that the sequence of solutions of the original problem converges in suitable topologies to the solution of a homogenized stochastic hyperbolic problem with constant coefficients. We also prove the convergence of the associated energies.
- Subjects :
- Constant coefficients
General Mathematics
010102 general mathematics
Mathematical analysis
Probabilistic logic
Stochastic calculus
01 natural sciences
Homogenization (chemistry)
010101 applied mathematics
Nonlinear system
Compact space
0101 mathematics
Hyperbolic partial differential equation
Analysis
Mathematics
Subjects
Details
- ISSN :
- 17936993 and 02198916
- Volume :
- 14
- Database :
- OpenAIRE
- Journal :
- Journal of Hyperbolic Differential Equations
- Accession number :
- edsair.doi...........0e397c2e18d652843e9dcd2a7a33c9dd