Long-time asymptotics for nonlinear growth-fragmentation equations
Long-time asymptotics for nonlinear growth-fragmentation equations
We are interested in the long-time asymptotic behavior of growth-fragmentation equations with a nonlinear growth term.We present examples for which we can prove either the convergence to a steady state or conversely the existence of periodic solutions.Using the General Relative Entropy method applied to well chosen self-similar solutions, we show …