The porous medium equation with capillary pressure effects
RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA(2023)
摘要
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.
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关键词
Existence, uniqueness, stability, porous medium equation, Cauchy problem
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