Información del autor
Autor Díaz Díaz, Jesús Ildefonso |
Documentos disponibles escritos por este autor (214)
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We study a climatologically important interaction of two of the main components of the geophysical system by adding an energy balance model for the averaged atmospheric temperature as dynamic boundary condition to a diagnostic ocean model having[...]![]()
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We consider a discretized a simple climate model of Sellers type and analyze the problem of transferring the system (through some sufficiently large time T) from a stationary state to another one in the same connected component.![]()
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We consider a general class of one-dimensional parabolic systems, mainly coupled in the diffusion term, which, in fact, can be of the degenerate type. We derive some new L(1)-gradient type estimates for its solutions which are uniform in the sen[...]![]()
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New results are presented on the spatial and temporal localization of solutions of general nonlinear elliptic and parabolic equations in the presence of ``sources'' given by the right-hand side - the results are obtained by the energy method![]()
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We consider the Burgers equation and prove a property which seems to have been unobserved until now: there is no limitation on the growth of the nonnegative initial datum u0(x) at infinity when the problem is formulated on unbounded intervals, a[...]![]()
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We consider very weak solutions of a nonlinear version (non-Hookean materials) of the beam stationary Bernoulli-Euler equation, as well as the similar extension to plates, involving the bi-Laplacian operator, with Navier (hinged) boundary condit[...]![]()
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We study the qualitative behaviour of solutions of the equation ut?(um)xx+b?(u?)x=0 when it models some evaporation phenomena, ?![]()
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We study linear and nonlinear bilaplacian problems with hinged boundary conditions and right hand side in L1( : ?), with ? = dist(x, ?). More precisely, the existence and uniqueness of the very weak solution is obtained and some numerical techni[...]![]()
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We present some results on the mathematical treatment of a global twodimensional diffusive climate model. The model is based on a long time averaged energy balance and leads to a nonlinear parabolic equation for the averaged surface temperature.[...]![]()
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Díaz Díaz, Jesús Ildefonso ; Lerena, Belén ; Padial Molina, Juan Francisco ; Rakotoson, Jean Michel Theresien | Elsevier | 1999We prove the existence and the regularity of solutions of an elliptic-parabolic equation involving the notions of relative rearrangement and monotone rearrangement. These equations were obtained from 3D MHD systems, taking, (in particular) into [...]![]()
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Díaz Díaz, Jesús Ildefonso ; Gómez Castro, David ; Shaposhnikova, Tatiana A. ; Zubova, Maria N. | Texas State University | 2019-06-04Our main interest in this article is the study of homogenized limit of a parabolic equation with a nonlinear dynamic boundary condition of the micro-scale model set on a domain with periodically place particles. We focus on the case of particles[...]![]()
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Recent studies on the mechanism governing the Laurentide ice sheet oscillations of the Last Ice Age focus on the most critical effect of the basal hydraulic processes enhanced when the ice is sliding along soft deformable beds. To understand the[...]![]()
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It is well-known that the pressure of a lubricating fluid filling the gap between two solid surfaces satisfies the Reynolds equation involving the distance function, h, between both planes, as a crucial coefficient. Nevertheless, in most of the [...]![]()
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We prove a pointwise gradient estimate for the solution of the Cauchy problem associated to the quasilinear Fisher-KPP type equation with a diffusion coefficient ?(u) satisfying that ?(0) = 0, ?(1) = 1 and a source term ?(u) which is vanishing o[...]![]()
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We study the longtime behavior of the solutions of a second order autonomous differential equation, differing from the one of a harmonic oscillator by a nonlinear friction term being only Hölder continuous. In particular, we show that there are [...]