General entropy equations for structured population models and scattering

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Spectral analysis of semigroups and growth-fragmentation equations (2013, result): “Concerning the mathematical analysis of the smooth cell-division equation, and in particular the long time behaviour of solutions, a similar picture as for the equal mitosis equation is expected and some (at least partial) results have been obtained in [78, 79, 77, 68, 30, 18, 19, 8].”
General relative entropy inequality: an illustration on growth models (2005, result): “(GRE in short) inequality has been introduced, in a less general framework, in [25], and some of the results of the present paper have been announced in [24].”
Rate of convergence to an asymptotic profile for the self-similar fragmentation and growth-fragmentation equations (2010, background): “In [9, 10] the general entropy structure of equation (1) and related models was studied, and used to show a result of convergence to the equilibrium G without rate for quite general coefficients b, but under the condition that the initial condition be bounded by a constant multiple of G [10, Theorem”
Eigenelements of a General Aggregation-Fragmentation Model (2009, methodology): “For more general fragmentation rates, one can use the dual eigenfunction φ and the so-called ”General Relative Entropy“ method introduced in [28, 31].”
On the Euler equations of incompressible fluids (2007, background): “Perhaps generalized relative entropies ([49], [110]) might be relevant for this.”