Abstract. Coasts are among the most intensely used environments on planet, but they also present dynamic and unique hazards, including flooding erosion. Sea level rise changing wave climates will alter patterns of erosion deposition, some existing coastline evolution models unable to simulate these effects due their one-dimensional representation systems or sediment transport processes. In this...

In this paper, we develop a detailed analysis of critical prewetting in the context two-dimensional Ising model. Namely, consider nearest-neighbor model 2N×N rectangular box with boundary condition inducing coexistence + phase bulk and layer ? along bottom wall. The presence an external magnetic field intensity h=?/N (for some fixed ?>0) makes unstable. For any ?>?c, prove that, under diffusing...