Información del autor
Autor Carrillo Menéndez, José |
Documentos disponibles escritos por este autor (31)
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The purpose here is to investigate some aspects of the evolution dam problem $\partial(\chi+\alpha u)/\partial t=\Delta u+{\rm div}(\chi e)$ in $Q$, $\chi\in H(u)$ in $Q$, $u\geq 0$ in $Q$, in $\Sigma_2$, $\partial u/\partial v+\chi ev\[...]![]()
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We study an initial boundary value problem for a scalar conservation law u(t) + div Phi(u) = f on a bounded domain. Existence and uniqueness of a renormalized entropy solution is established for general L-1-data, Phi is an element ofC(R, R-N![]()
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We introduce a notion of entropy solution for a scalar conservation law on a bounded domain with nonhomogeneous boundary condition: u(t) + div Phi (u) = f on Q = (0, T) x Omega, u (0, (.))= u(0) on Q and "u = a on some part of the boundary (0, T[...]![]()
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We consider a class of elliptic-hyperbolic degenerate equations g(u) - Delta b(u) + div phi(u) = f With Dirichlet homogeneous boundary conditions, and a class of elliptic-parabolic-hyperbolic degenerate equations g(u)(t) - Delta b(u) + div phi(u[...]![]()
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The subject of this paper is the study of a free boundary problem for a steady fluid flow through a porous medium, in which the classical Darcy law (1) ?!v = ar(p(x)+xn), x = (x1, · · · , xn) 2 Rn, a > 0, is replaced by the nonlinear law (2) |?[...]![]()
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The goal of this paper is to study the fluid flow through a two-dimensional porous medium when we impose a leaky boundary condition. We show in particular that the situation is quite different from the one with the usual Dirichlet boundary condition.![]()
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We study the support of the solution of the dam problem and estimate its growth from above and from below for small t . We derive sufficient conditions in order that it grows with finite or infinite speed. Moreover a monotonicity result for the [...]![]()
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We prove uniqueness and the L-1-comparison principle Sor renormalized solutions of the elliptic-parabolic problem associated with the equation b(upsilon)(t) = div a(upsilon, D upsilon) + f.![]()
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We prove uniqueness of the Krushov solution of the equation ?u+div((u))+ au 3 f 0 with homogeneous boundary datum. Is not necessarily continuous![]()
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We consider a general class of degenerate elliptic-paraboic problems associated with the equation b(v)(t) = div a(v, Dv) + f. Using Kruzhkov's method of doubling variables both in space and time we prove uniqueness and a comparison principle in [...]