General solutions of the nonlinear PDEs governing the erosion kinetics | Zendy

D.E. Panayotounakos | Zendy; K. P. Zafeiropoulos | Zendy

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General solutions of the nonlinear PDEs governing the erosion kinetics

Author(s) -

D.E. Panayotounakos,

K. P. Zafeiropoulos

Publication year - 2002

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1080/10241230211379

Subject(s) - nonlinear system , partial differential equation , mathematics , complement (music) , order (exchange) , mathematical analysis , physics , chemistry , economics , biochemistry , gene , phenotype , finance , quantum mechanics , complementation

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

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