Introduction to the stochastic Burgers equation and Burgulence

DOI10.1016/j.bulsci.2015.11.004zbMath1401.35358arXiv1504.00395OpenAlexW2963674885MaRDI QIDQ5962424

Sergej B. Kuksin, Takfarinas Kelaï

Publication date: 12 February 2016

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00395

zbMATH Keywords

maximum principlesemigroupBurgers equationexistence and uniquenessenergy estimate

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (1)

Kolmogorov's theory of turbulence and its rigorous 1d model

Cites Work

• Brownian motion martingales and stochastic calculus
• Partial differential equations. III: Nonlinear equations.
• Gaussian measures in Banach spaces
• Spectral properties of solutions for nonlinear PDEs in the turbulent regime
• Oscillation in space-periodic nonlinear Schrödinger equations
• Stability of regime-switching stochastic differential equations
• Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing
• Sharp estimates for turbulence in white-forced generalised Burgers equation
• Mathematics of Two-Dimensional Turbulence
• On the multifractal properties of the energy dissipation derived from turbulence data
• On the small balls problem for equivalent Gaussian measures
• Real Analysis and Probability
• Spectral properties of solutions of the Burgers equation with small dissipation
• Stochastic differential equations. An introduction with applications.
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