Decreasing of the L^1 norm and mass conservation for Porous Medium Equations with advection
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https://doi.org/10.35819/remat2018v4i2id2959Palabras clave:
Mass Conservation, Decreasing of the $L^1$ Norm, Porous Medium EquationsResumen
In this paper, we show that the $L^1$ norm of the bounded weak solutions of the Cauchy problem for general degenerate parabolic equations of the form
u_t + div f(x,t,u) = div(|u|^{\alpha}\nabla u), x \in R^n , t > 0,
where \alpha > 0 is constant, decrease, under fairly broad conditions in advection flow f. In addition, we derive the mass conservation property for positive (or negative) solutions.Descargas
Referencias
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https://orcid.org/0000-0002-0893-7426
