A note on the applications of Wick products and Feynman diagrams in the study of singular partial differential equations
From MaRDI portal
Publication:2223891
DOI10.1016/j.cam.2020.113338zbMath1458.35492OpenAlexW3114808182WikidataQ115359684 ScholiaQ115359684MaRDI QIDQ2223891
Publication date: 3 February 2021
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2020.113338
quantum field theoryFeynman diagramsWick productsspace-time white noisemagnetohydrodynamics systemGaussian hypercontractivity
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) PDEs with randomness, stochastic partial differential equations (35R60)
Related Items
Cites Work
- Solving the KPZ equation
- Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system
- A theory of regularity structures
- Well-posedness for Hall-magnetohydrodynamics
- Remarks on the three and two and a half dimensional Hall-magnetohydrodynamics system: deterministic and stochastic cases
- Differential equations driven by rough signals
- Paracontrolled distributions and the 3-dimensional stochastic quantization equation
- Controlling rough paths
- Well-posedness of Hall-magnetohydrodynamics system forced by Lévy noise
- Markov selections for the magnetohydrodynamics and the Hall-magnetohydrodynamics systems
- Stochastic Hall-magneto-hydrodynamics system in three and two and a half dimensions
- Three-dimensional Navier-Stokes equations driven by space-time white noise
- Bifurcation analysis of magnetic reconnection in Hall-MHD-systems
- An inequality of the Hölder type, connected with Stieltjes integration
- PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
- Fourier Analysis and Nonlinear Partial Differential Equations
- Rough stochastic PDEs
- Studies on Magneto-Hydrodynamic Waves and other Anisotropic wave motions
- Multidimensional Stochastic Processes as Rough Paths
- Dynamic Scaling of Growing Interfaces
- The amplitude equation near the convective threshold: application to time-dependent heating experiments
- Mode−mode coupling theory of the heat convection threshold
- Gaussian Hilbert Spaces
- The 3D navier-stokes equations seen as a perturbation of the 2D navier-stokes equations
- System Control and Rough Paths
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
