Applied Ocean Research

fully discrete, numerical schemes, convergence, uniqueness, distributional solutions, nonlinear degenerate diffusion, porous medium equation, fast diffusion equation, Stefan

This work in the present paper is devoted to the investigation of the formation of singularities of spherically symmetric solutions with general initial data in Sobolev space to

Kato, On the Cauchy problem for the (generalized) Korteweg–de Vries equation. Studies in Applied Mathematics, Adv. Introduction to Nonlinear Dispersive Equations. A comparison

After first having shown that the govern- ing two-phase flow equations admit similarity solutions, numerical solutions of the coupled set of non-linear ordinary differential

doubly nonlinear degenerate parabolic equation, BY solutions, entropy condition, implicit finite differ- ence schemes, convergence.. The research of the second author has been

(We regard this as an a posteriori examination since an existing sequence either has this property or not.) For sequences whose density remain bounded away from 0, we prove

The Serre–Green–Naghdi system is a coupled, fully nonlinear system of dispersive evolution equations which approximates the full water wave problem. The system is known to

Steady solutions of the fully nonlinear hydro-elastic Euler equations are approximated numerically, and compared to numerical approximations to steady solutions of the fully