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Autor Díaz Díaz, Jesús Ildefonso |
Documentos disponibles escritos por este autor (214)
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Global time-delay autosynchronization is known to control spatiotemporal turbulence in oscillatory reactiondiffusion systems. Here, we investigate the complex Ginzburg-Landau equation in the regime of spatiotemporal turbulence and study numerica[...]![]()
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We consider the Cauchy problem ut = ?(u)xx + ?(u), (t, x) ? R+ × R, u(0, x) = u0(x), x ? R, when the increasing function ? satisfies that ?(0) = 0 and the equation may degenerate at u = 0 (in the case of ?? (0) = 0). We consider the case of u0 ?[...]![]()
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Bui, L.T.T. ; Dao, A. N ; Díaz Díaz, Jesús Ildefonso | Texas State University, Department of Mathematics | 2017We prove the existence of solutions of the viscous Cahn-Hilliard equation in whole domain when the nonlinear term in the second order diffusion grows as uq for the critical case when N > = 3. Our results improve the ones in [9, 12].![]()
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In the book by U. Hornung, Chapter 6, the author proposes an homogenization strategy for the effective behavior of some chemical processes involving adsorption and reactions arising in porous media. Rigorous proofs of the convergence results are[...]![]()
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This paper gives a very brief review of some properties of solutions of quasilinear scalar elliptic and parabolic partial differential equations in a spatial domain ?. Emphasis is laid on nonlinearities which allow the support of the solutions t[...]![]()
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We present a new proof of comparison results via Steiner symmetrization for solutions of elliptic equations. This proof relies upon a "level sets" argument.![]()
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Díaz Díaz, Jesús Ildefonso ; Alvino, A. ; Trombetti, G. ; Lions, P.L. | John Wiley & SONS INC | 1996-03We give some comparison results for elliptic equations by using Steiner symmetrization.![]()
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Díaz Díaz, Jesús Ildefonso ; Rakotoson, Jean-Michel | Department of Mathematics Texas State University | 2014We revisit the regularity of very weak solution to second-order elliptic equations Lu = f in ? with u = 0 on ?? for f ? L1 (?, ?), ?(x) the distance to the boundary ??. While doing this, we extend our previous results(and many others in the lite[...]![]()
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In this paper we use some energy methods to study the location (and formation) of a free boundary arising in some unilateral problems, for instance, in the obstacle problem and the Stefan problem.![]()
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We obtain existence and uniqueness of solutions with compact support for some nonlinear elliptic and parabolic problems including the equations of one-dimensional motion of a non-newtonian fluid. Precise estimates for the support of these soluti[...]![]()
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Obtains existence and uniqueness of solutions with compact support for some nonlinear elliptic and parabolic problems including the equations of one-dimensional motion of a non-newtonian fluid. Precise estimates for the support of these solution[...]![]()
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In 1757, Leonhard Euler started the study of the tallest column, i.e. the shape of a stable column with the symmetry of revolution, such that it attains the maximum height once the total mass is prescribed, buckling due to the effect of a load s[...]![]()
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The authors study the nonlinear elliptic equation (*) ?div(a(x,u,Du))?div(?(u))+g(x,u)=f(x)in ? with the boundary condition (??) u=0 on ??, where ? is a bounded open subset of RN, A(u)=?div(a(x,u,Du)) is a nonlinear operator of Leray-Lions type[...]![]()
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The authors show the uniqueness and give some necessary and sufficient conditions for the existence of positive solutions of the equation ??pu=f(x,u), where ?p denotes the p-Laplacian and f(x,r)/rp?1 is assumed to be decreasing![]()
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The authors study the existence of weak solutions for the following system: ut???(u)?F(u,v), vt???(v)?G(u,v) in (0,T)×?, ?(u)=?(v)=0 on (0,T)×??, u(0,x)=u0(x), v(0,x)=v0(x) in the region ???Rn with smooth boundary ??. The functions ?,?:R?R are a[...]![]()
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We prove some existence (and sometimes also uniqueness) of weak solutions to some stationary equations associated to the complex Schrödinger operator under the presence of a singular nonlinear term. Among other new facts, with respect some previ[...]![]()
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Díaz Díaz, Jesús Ildefonso ; Muñoz Montalvo, Ana Isabel ; Schiavi, Emanuele | Pergamon-Elsevier Science Ltd. | 2007-02This paper deals with the mathematical analysis of a nonlinear system of three differential equations of mixed type. It describes the generation of fast ice streams in ice sheets flowing along soft and deformable beds. The system involves a nonl[...]![]()
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The authors consider first-order equations in "conservation laws'' form perturbed by a semilinear nonlinearity of monotone type. The known existence and uniqueness results for conservation laws—results due to Kruzhkov—are easily adapted to this [...]![]()
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Díaz Díaz, Jesús Ildefonso ; Bermejo, R. ; Carpio, Jaime ; Galán del Sastre, Pedro | Birkhäuser | 2008-07-11We present a finite element algorithm of a climate diagnostic model that takes as a climate indicator the atmospheric sea-level temperature. This model belongs to the category of energy balance models introduced independently by the climatologis[...]![]()
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Díaz Díaz, Jesús Ildefonso ; Casal, A.C. ; Vegas Montaner, José Manuel | Pergamon-Elsevier Science | 2009-12-15We give sufficient conditions to have the finite extinction for all solutions of linear parabolic reaction-diffusion equations of the type partial derivative u/partial derivative t - Lambda u = -M(t)u(t - tau, x) (1) with a delay term tau > 0, [...]![]()
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Casal, Alfonso C. ; Díaz Díaz, Jesús Ildefonso ; Vegas Montaner, José María | American Institute of Mathematical Sciences | 2011We prove that the mere presence of a delayed term is able to connect the initial state u0 on a manifold without boundary (here assumed given as the set ?? where ? is an open bounded set in RN ) with the zero state on it and in a finite time even[...]![]()
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The finite time extinction phenomenon (the solution reaches an equilibrium after a finite time) is peculiar to certain nonlinear problems whose solutions exhibit an asymptotic behavior entirely different from the typical behavior of solutions as[...]![]()
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The finite time extinction phenomenon (the solution reaches an equilibrium after a finite time) is peculiar to certain nonlinear problems whose solutions exhibit an asymptotic behavior entirely different from the typical behavior of solutions as[...]