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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 [...]![]()
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We study the uniqueness of solutions of a semilinear elliptic problem obtained from an inverse formulation when the nonlinear terms of the equation are prescribed in a general class of real functions, The inverse problem arises in the modeling o[...]![]()
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Díaz Díaz, Jesús Ildefonso ; Galiano, Gonzalo ; Padial Molina, Juan Francisco | Akademie Verlag GMBH | 1996We obtain the uniqueness of solutions of a nonlocal elliptic problem when the nonlinear terms at the right hand side are assumed to be prescribed. The problem arises in the study of the magnetic confinement of a plasma in a Stellarator device.![]()
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We get some necessary and sufficient conditions for the very weak solvability of the beam equation stated in terms of powers of the distance to the boundary, accordingly to the boundary condition under consideration. We get a L(1)-estimate by us[...]![]()
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Two problems arising in Environment are considered. The first one concerns a conjecture possed by von Neumann in 1955 on the possible modification of the albedo in order to control the Earth surface temperature. The second one is related to the [...]![]()
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We use recent results by Diaz and Rakotoson concerning very weak solutions to linear boundary value problems in order to improve previous work on existence and properties of weak positive solutions to a model example of semilinear singular ellip[...]![]()
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Díaz Díaz, Jesús Ildefonso ; Rakotoson, Jean Michel Theresien | American Institute of Mathematical Sciences | 2010-07We prove the existence of an appropriate function (very weak solution) u in the Lorentz space L(N') (,infinity)(Omega), N' = (N)(N - 1) satisfying Lu - Vu + g (x, u, del u) = mu in Omega an open bounded set of R(N), and u = 0 on partial derivati[...]![]()
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Díaz Díaz, Jesús Ildefonso ; Rakotoson, Jean Michel Theresien ; Schmidt, Paul G. | Real Academia Ciencias Exactas Físicas Y Naturales | 2007We propose a modification of the classical Boussinesq approximation for buoyancy-driven flows of viscous, incompressible fluids in situations where viscous heating cannot be neglected. This modification is motivated by unresolved issues regardin[...]![]()
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We prove a pointwise gradient estimate for the bounded weak solution of the Cauchy problem associated to the quasilinear Fisher-KPP type equation ut ='(u)xx + (u) when ' satisÖes that '(0)=0; and (u) is vanishing only for levels u = 0 and u = 1.[...]![]()
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We present here an improved version of the method introduced by the first author to derive pointwise gradient estimates for the solutions of one-dimensional parabolic problems. After considering a general qualinear equation in divergence form we[...]![]()
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Díaz Díaz, Jesús Ildefonso ; Hernández, Jesús | Department of Mathematics Texas State University | 2014We give a survey of recent results and open problems concerning existence and multiplicity of positive and/or compact support solutions to some semilinear elliptic equations with singular nonlinear terms of absorption type. This includes the cas[...]