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20112023
most citedMathematical and Physical Ideas for Climate Science

120 citations · 556 across the 21 of their papers we have counts for

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Showing 2013Show all

6 papers · 1 filter

physics.flu-dyn2013★ 11 cited

Restricted Partition Functions and Inverse Energy Cascades in Parity Symmetry Breaking flows

Corentin Herbert

When the symmetries of homogenous isotropic turbulent flows are broken, different sets of modes with different physical roles emerge. In particular, choosing a forcing which puts m…

physics.ao-ph2013★ 120 cited

Mathematical and Physical Ideas for Climate Science

Valerio Lucarini, Richard Blender, Corentin Herbert +3

The climate is a forced and dissipative nonlinear system featuring non-trivial dynamics of a vast range of spatial and temporal scales. The understanding of the climate's structura…

physics.flu-dyn2013★ 8 cited

Nonlinear energy transfers and phase diagrams for geostrophically balanced rotating--stratified flows

Corentin Herbert

Equilibrium statistical mechanics tools have been developed to obtain indications about the natural tendencies of nonlinear energy transfers in two-dimensional and quasi two-dimens…

cond-mat.stat-mech2013★ 20 cited

Additional Invariants and Statistical Equilibria for the 2D Euler Equations on a spherical domain

Corentin Herbert

The role of the domain geometry for the statistical mechanics of 2D Euler flows is investigated. It is shown that for a spherical domain, there exists invariant subspaces in phase…

physics.ao-ph2013★ 9 cited

Vertical Temperature Profiles at Maximum Entropy Production with a Net Exchange Radiative Formulation

Corentin Herbert, Didier Paillard

Like any fluid heated from below, the atmosphere is subject to vertical instability which triggers convection. Convection occurs on small time and space scales, which makes it a ch…

physics.ao-ph2013★ 1 cited

Predictive use of the Maximum Entropy Production principle for Past and Present Climates

Corentin Herbert, Didier Paillard

In this paper, we show how the MEP hypothesis may be used to build simple climate models without representing explicitly the energy transport by the atmosphere. The purpose is twof…