Functional limit theorem for solutions to Burgers equation with random initial data

DOI10.3103/S002713221302006XzbMath1316.35305MaRDI QIDQ355318

V. P. Demichev

Publication date: 24 July 2013

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

zbMATH Keywords

Burgers equationPoisson random point processshot noise field

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) PDEs with randomness, stochastic partial differential equations (35R60)

Cites Work

• An introduction to the theory of point processes
• Rates in the CLT for sums of dependent multiindexed random vectors
• Burgers' equation by non-local shot noise data
• A Functional Central Limit Theorem for Transformed Solutions of the Multidimensional Burgers Equation with Random Initial Data
• Convergence Criteria for Multiparameter Stochastic Processes and Some Applications
• Functional central limit theorem for the solution of a many-dimensional Burgers equation with initial data given by an associated random measure

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