On the rate of convergence to the normal law for solutions of the Burgers equation with singular initial data.
From MaRDI portal
Publication:1593351
DOI10.1007/BF02179795zbMath1042.60518OpenAlexW4253752034MaRDI QIDQ1593351
Victoria N. Parkhomenko, Nikolai N. Leonenko, Enzo Orsingher
Publication date: 16 January 2001
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02179795
Stochastic analysis applied to problems in fluid mechanics (76M35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Related Items
Macroscaling Limit Theorems for Filtered Spatiotemporal Random Fields, Exact parabolic asymptotics for singular \(n\)-D Burgers' random fields: Gaussian approximation
Cites Work
- Tauberian and Abelian theorems for correlation function of a homogeneous isotropic random field
- Statistics of shocks in solutions of inviscid Burgers equation
- Two results concerning asymptotic behavior of solutions of the Burgers equation with force
- Stratified structure of the Universe and Burgers' equation -- a probabilistic approach
- Explicit inertial range renormalization theory in a model for turbulent diffusion
- Scale renormalization and random solutions of the Burgers equation
- Fractional integrals of stationary processes and the central limit theorem
- Convergence of integrated processes of arbitrary Hermite rank
- Non-central limit theorems for non-linear functional of Gaussian fields
- The burgers equation with a noisy force and the stochastic heat equation
- Burgers' equation by non-local shot noise data
- Estimation of states of some recursively defined systems
- [https://portal.mardi4nfdi.de/wiki/Publication:4866496 Limiting distributions of the solutions of the many-dimensional B�rgers equation with random initial data. I]
- The accuracy of the normal approximation for minimum contrast estimates
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item