Stochastic turbulence for Burgers equation driven by cylindrical Lévy process
From MaRDI portal
Publication:5864053
DOI10.1142/S0219493722400044zbMath1490.76112arXiv2106.03434OpenAlexW3166920304MaRDI QIDQ5864053
Shenglan Yuan, Dirk Blömker, Jin-qiao Duan
Publication date: 3 June 2022
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.03434
Statistical turbulence modeling (76F55) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Dynamical systems approach to turbulence (76F20)
Related Items (4)
Dynamical transition of phenotypic states in breast cancer system with Lévy noise ⋮ Controlling mean exit time of stochastic dynamical systems based on quasipotential and machine learning ⋮ The Burgers equation driven by a stochastic measure ⋮ The impact of noise on Burgers equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stochastic integration with respect to cylindrical Lévy processes
- Lévy processes and Lévy white noise as tempered distributions
- Numerical solution of the Burgers equation with Neumann boundary noise
- Decaying turbulence in the generalised Burgers equation
- Spectral properties of solutions for nonlinear PDEs in the turbulent regime
- On turbulence in nonlinear Schrödinger equations
- White noise analysis for Lévy processes.
- Invariant measures for Burgers equation with stochastic forcing
- Exponential ergodicity of stochastic Burgers equations driven by \(\alpha\)-stable processes
- On the Zakharov-L'vov stochastic model for wave turbulence
- Random field solutions to linear SPDEs driven by symmetric pure jump Lévy space-time white noises
- Turbulence as a problem in non-equilibrium statistical mechanics
- Full discretization of the stochastic Burgers equation with correlated noise
- Phase Transition Dynamics
- Instantons in a Lagrangian model of turbulence
- Cylindrical Lévy processes in Banach spaces
- Instabilities, Chaos and Turbulence
- A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number
- On the multifractal properties of the energy dissipation derived from turbulence data
- The Kolmogorov-Obukhov Theory of Turbulence
- Galerkin Approximations for the Stochastic Burgers Equation
- Multifractal and Lévy conservation laws
- A statistical mechanical phase transition to turbulence in a model shear flow
- Nonequilibrium Statistical Physics
- Stochastic integration with respect to cylindrical Lévy processes in Hilbert spaces: An L2 approach
- Stochastic Partial Differential Equations with Levy Noise
- Dispersive regularizations and numerical discretizations for the inviscid Burgers equation
This page was built for publication: Stochastic turbulence for Burgers equation driven by cylindrical Lévy process
