Cascades of scales: applications and mathematical methodologies

DOI10.1063/5.0239348MaRDI QIDQ6658254

Mária Lukáčová-Medvid'ová, Luigi Delle Site, Edriss S. Titi, Rupert Klein

Publication date: 8 January 2025

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Partial differential equations (35-XX) Quantum theory (81-XX)

Cites Work

• Three-scale singular limits of evolutionary PDEs
• The heterogeneous multiscale methods
• Hydrodynamic limits of the Boltzmann equation
• Existence of dissipative solutions to the compressible Navier-Stokes system with potential temperature transport
• Microstructure and thickening of dense suspensions under extensional and shear flows
• A gradient system with a wiggly energy and relaxed EDP-convergence
• A review of Girsanov reweighting and of square root approximation for building molecular Markov state models
• Chemical diffusion master equation: Formulations of reaction–diffusion processes on the molecular level
• A porous-media model for reactive fluid–rock interaction in a dehydrating rock
• Γ–convergence for nearly incompressible fluids
• Multi-scale dynamics of the interaction between waves and mean flows: From nonlinear WKB theory to gravity-wave parameterizations in weather and climate models
• An asymptotic-preserving and energy-conserving particle-in-cell method for Vlasov–Maxwell equations
• Non-equilibrium steady states as saddle points and EDP-convergence for slow-fast gradient systems
• Learning Koopman eigenfunctions of stochastic diffusions with optimal importance sampling and ISOKANN
• Connecting stochastic optimal control and reinforcement learning

This page was built for publication: Cascades of scales: applications and mathematical methodologies