2 citations · 2 across the 2 of their papers we have counts for
3 papers · 1 filter
Blow-up for a Semilinear Tricomi-type Equation with Scale-Invariant Mass in the Oscillatory Regime
Diego Marcon, Wanderley Nascimento, Matheus Santos
We investigate the finite-time blow-up of solutions to a Tricomi-type equation with scale-invariant potential and power nonlinearities in the oscillatory regime. For smooth, compac…
Minimizing Movement for a Fractional Porous Medium Equation in a Periodic Setting
Lucas C. F. Ferreira, Matheus C. Santos, Julio C. Valencia-Guevara
We consider a fractional porous medium equation that extends the classical porous medium and fractional heat equations. The flow is studied in the space of periodic probability mea…
Exponential Convergence Towards Stationary States for the 1D Porous Medium Equation with Fractional Pressure
J. A. Carrillo, Y. Huang, M. C. Santos +1
We analyse the asymptotic behaviour of solutions to the one dimensional fractional version of the porous medium equation introduced by Caffarelli and Vázquez, where the pressure is…