General solutions of the nonlinear PDEs governing the erosion kinetics

D. E. Panayotounakos and K. P. Zafeiropoulos

Mathematical Problems in Engineering, 2002, vol. 8, 1-17

Abstract:

We present the construction of the general solutions concerning the one-dimensional (1D) fully dynamic nonlinear partial differential equations (PDEs), for the erosion kinetics. After an uncoupling procedure of the above mentioned equations a second–order nonlinear PDE of the Monge type governing the porosity is derived, the general solution of which is constructed in the sense that a full complement of arbitrary functions (as many as the order) is introduced. Afterwards, we specify the above solution according to convenient initial conditions.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:239581

DOI: 10.1080/10241230211379

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