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Autor Díaz Díaz, Jesús Ildefonso |
Documentos disponibles escritos por este autor (214)
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The aim of this paper is to study the asymptotic behavior of the solution of a transmission problem in some chemical reactive flows through periodically perforated domains. The domain is considered to be a fixed bounded open subset ??Rn, in whic[...]![]()
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We study the initial growth of the interfaces of non-negative local solutions of the equation u(t) = (u(m))xx - lambdau(q) when m greater-than-or-equal-to 1 and 0 [...]![]()
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Díaz Díaz, Jesús Ildefonso ; Martin, Sébastien | Elsevier France-editions Scientifiques Medicales Elsevier | 2006-11We consider the Elrod-Adams model extending the classical lubrication Reynolds equation to the case of the possible presence of a cavitation region. We show that the behaviour of the pressure and saturation depends crucially on the behaviour of [...]![]()
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We prove the convergence of the solutions for the incompressible homogeneous magnetohydrodynamics (MHD) system to the solutions to ideal MHD one in the inviscid and non-resistive limit, detailing the explicit convergence rates. For this study we[...]![]()
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Díaz Díaz, Jesús Ildefonso ; Arjona, Alicia ; Fernández, José ; Rundle, J.B. | Birkhäuser | 2008-10-18In the early eighties Rundle (1980, 1981a,b, 1982) developed the techniques needed for calculations of displacements and gravity changes due to internal sources of strain in layered linear elastic-gravitational media. The approximation of the so[...]![]()
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We study the limit case corresponding to a model introduced by G.L. Stenchikov and A. Robock for the evolution of the temperature of an atmospheric column in absence of humidity. The model envolves a degenerate noncoercive quasilinear equation. [...]![]()
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Díaz Díaz, Jesús Ildefonso ; Tello del Castillo, José Ignacio | Amsterdam Elsevier Science 2000 | 2003-03We study a model of growth of tumors with a free boundary delaying the tumor region. We take into account the presence of inhibitors and its interaction with the nutrients. We study the approximate controllability of the internal distribution of[...]![]()
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We analyze the sensitivity of a climatological model with respect to small changes in one of the distinguished parameters: the solar constant. We start by proving the stabilization of solutions of the evolution model when time tends to infinity.[...]![]()
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We present some recent results on the mathematical study of a global two-dimensional stationary climate model. We prove the multiplicity of solutions for some values of a solar parameter. Then, we obtain a S-shaped bifurcation branch.![]()
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We study the flat region of stationary points of the functional integral(Omega) F(|del u(x)|) dx under the constraint u 0 is a given constant. The problem generalizes the classical minimal resistance body problems considered by Newton. We con[...]![]()
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Díaz Díaz, Jesús Ildefonso ; Mingazzini, Tomasso ; Ramos del Olmo, Ángel Manuel | American Institute of Mathematical Sciences | 2012We study an optimal control problem for a semilinear elliptic boundary value problem giving rise to a free boundary. Here, the free boundary is generated due to the fact that the nonlinear term of the state equation is not differentiable. The ne[...]![]()
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We study some retention phenomena on the free boundaries associated to some elliptic and parabolic problems of reaction-diffusion type. This is the case, for instance, of the wait in g time phenomenon for solutions of suitable parabolic equation[...]![]()
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In this comunication we present some results on the uniqueness and existence of BV solutions for the Cauchy-Dirichlet problem associated to the nonlinear diffusion equation b(u)(t) - div(\del u - k(b(u))e\(p-2)(del u - k(b(u))e)) + g(x,u) = f(t,[...]![]()
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We give sufficient conditions, being also necessary in many cases, for the existence of a periodic free boundary generated as the boundary of the support of the periodic solution of a general class of nonlinear parabolic equations. We show some [...]