Stable wrinkled fronts were often observed in experiments on fluid invasion into porous media, when the invaded phase is less viscous than the invading one. Recent experiments by a group at the Weizmann institute, show that capillary wetting of paper may also lead to rough self-affine fronts. A...

We numerically solve the steady-state equation and the stability spectrum for solidification in a channel. For a large range of parameters stable symmetric and stable parity-broken solutions coexist. The branches of parity-broken solutions are found to originate from the symmetric solutions...

The extinction transition on a 1D heterogeneous substrate with diffusive correlations is studied. Diffusively correlated heterogeneity is shown to affect the location of the transition point, as the reactants adapt to the fluctuating environment. At the transition point the density decays like...