We consider a third order equation, which includes pressure as a dissipative term, and describes the dynamics of two-phase flows in a porous media. It is a generalization of Benjamin-Bona-Mahony equation, which models long waves in a nonlinear dispersive system. We prove the well-posedness of the Cauchy problem, associated with this equation.
The porous medium equation with capillary pressure effects / Coclite, Giuseppe Maria; di Ruvo, Lorenzo. - In: RIVISTA DI MATEMATICA DELLA UNIVERSITÀ DI PARMA. - ISSN 0035-6298. - STAMPA. - 14:(2023), pp. 173-190.
The porous medium equation with capillary pressure effects
Giuseppe Maria Coclite
;
2023-01-01
Abstract
We consider a third order equation, which includes pressure as a dissipative term, and describes the dynamics of two-phase flows in a porous media. It is a generalization of Benjamin-Bona-Mahony equation, which models long waves in a nonlinear dispersive system. We prove the well-posedness of the Cauchy problem, associated with this equation.File in questo prodotto:
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