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Autor Díaz Díaz, Jesús Ildefonso |
Documentos disponibles escritos por este autor (214)
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We give conditions on the behaviour of the trace datum near the boundary of its support in order to know whether the free boundary given by the boundary of the support of the solution of suitable elliptic or parabolic semilinear problem is conne[...]![]()
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A mathematical model of general gas emitting systems is derived, and a sample of relevant mathematical results is offered. The present paper indicates that shallow subsurface gas sources in typical volcanic areas can be located if appropriate ph[...]![]()
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Arjona, Alicia ; Díaz Díaz, Jesús Ildefonso ; Fernández, J. | Universidad de Castilla-La Mancha | 2009Many volcanic constructs have geometric different shapes depending on different phenomena as parasitic cones, erosion or coral growth. In Lacey, Ockendon and Turcotte [11] the authors proposed a nonlinear model proving that the shape of volcanoe[...]![]()
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Shape ofmany volcanic edifices depend on different phenomena, such as parasitic cones, erosion or coral growth. A nonlinear model proposed in 1981 proves that the shape of volcanoes is determined by the hydraulic resistance to the flow of magma,[...]![]()
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In this Note, we study the existence and multiplicity of solutions, strictly positive or nonnegative having a dead core (where the solution vanishes) of a one-dimensional equation of eigenvalue type associated to a quasilinear operator with stro[...]![]()
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Coron, Jean-Michel ; Díaz Díaz, Jesús Ildefonso ; Drici, Abdelmalek ; Mingazzini, Tommaso | Springer | 2013-05-05The authors prove the global null controllability for the 1-dimensional nonlinear slow diffusion equation by using both a boundary and an internal control. They assume that the internal control is only time dependent. The proof relies on the ret[...]![]()
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Until now, an unconditional nonlinear energy stability analysis for thermal convection according to Navier–Stokes theory had not been developed for the case in which the viscosity depends on the temperature in a quadratic manner such that the vi[...]![]()
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We prove global existence of nonnegative solutions to the one dimensional degenerate parabolic problems containing a singular term. We also show the global quenching phenomena for L1 initial datums. Moreover, the free boundary problem is conside[...]![]()
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Conca, Carlos ; Díaz Díaz, Jesús Ildefonso ; Liñán, Amable ; Timofte, C. | Department of Mathematics Texas State University | 2004This paper concerns the homogenization of two nonlinear models for chemical reactive flows through the exterior of a domain containing periodically distributed reactive solid grains (or reactive obstacles). In the first model, the chemical react[...]![]()
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Díaz Díaz, Jesús Ildefonso ; Gómez de Castro, Ana Inés ; Podol’skii, A. V. ; Shaposhnikova, T.A. | Maik Nauka-Interperiodica Publishing | 2016We extend previous papers in the literature concerning the homogenization of Robin type boundary conditions for quasilinear equations, in the case of microscopic obstacles of critical size: here we consider nonlinear boundary conditions involvin[...]![]()
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This paper deals with the homogenization of a nonlinear problem modelllng chemical reactive flows through periodically perforated domains. The chemical reactions take place on the walls of the porous médium. The effective behavior of these react[...]![]()
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Casal, Alfonso C. ; Díaz Díaz, Jesús Ildefonso ; Stich, Michael ; Vegas Montaner, José Manuel | Springer | 2011We consider the complex Ginzburg-Landau equation with feedback control given by some delayed linear terms (possibly dependent of the past spatial average of the solution). We prove several bifurcation results by using the delay as parameter. We [...]![]()
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In this paper, we study the number of steady solutions of a non-linear model arising in Climatology. By applying a shooting method we show the existence of infinitely many steady solutions for some values of a parameter (the solar constant). Thi[...]![]()
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Mathematics plays a fundamental role in all scientific fields and, of course, in the Geosciences. This has been specially well known since, for example, the beginning of geodesy in the Greek era (VANÍC EK and KRAKIWSKY 1992) or in the pioneering[...]![]()
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We are concerned with the parabolic obstacle problem ut+Au+cu?f,u??, (ut+Au+cu?f)(u??)=0inQ=(0,T)×?, u=? on ?=(0,T)×??, u|t=0=u0 in ?, A being a linear elliptic second-order operator in divergence form or a nonlinear `pseudo-Laplacian'. We give [...]![]()
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In this paper, we are concerned with the parabolic obstacle problem (u(t)=partial derivative u/partial derivative t [GRAPHICS] (A is a linear second order elliptic operator in divergence form or a nonlinear "pseudo-Laplacian"). We give an isoper[...]![]()
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We study the dynamics and regularity of level sets in solutions of the semilinear parabolic equation u(t) - Delta u is an element of aH(u - mu) in Q = Omega X (0, T], where Omega subset of R(n) is a ring-shaped domain, a and mu are given positiv[...]![]()
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We study the dynamics and regularity of the level sets in solutions of the semilinear parabolic equation u(t) - Delta p(u) + f is an element of aH(u - mu) in Q = Omega x (0, T], P is an element of (1, infinity), where Omega subset of R(n) is a r[...]![]()
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Díaz Díaz, Jesús Ildefonso ; Lazzo, Mónica ; Schmidt, Paul G. | Department of Mathematics. Texas State University | 2007This paper concerns the equation ?mu = |u| p, where m ? N, p ? (1, ?), and ? denotes the Laplace operator in RN, for some N ? N. Specifically, we are interested in the structure of the set L of all large radial solutions on the open unit ball B [...]![]()
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Díaz Díaz, Jesús Ildefonso ; Lazzo, M. ; Schmidt, Paul G. | Society for Industrial and Applied Mathematics | 2005This paper is concerned with the elliptic system (0.1) Delta upsilon=phi, Delta phi=vertical bar del upsilon vertical bar(2) posed in a bounded domain Omega subset of R-N, N is an element of N. Specifically, we are interested in the existence an[...]