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Autor Díaz Díaz, Jesús Ildefonso |
Documentos disponibles escritos por este autor (214)
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Díaz Díaz, Jesús Ildefonso ; Sánchez Palencia, Evariste | Real Academia Ciencias Exactas Físicas Y Naturales | 2009We prove that for Suitable evolution problems, the solution u(t) corresponding to some right hand side term f(t) in V' (with V some Hilbert space). only satisfies the stabilization property (f(t) -> f(infinity) in V' implies that u(t) -> u(inf[...]texto impreso
In this work we consider a planar stationary flow of an incompressible viscous fluid in a semi-infinite strip governed by the standard Stokes system. We show how this fluid can be stopped at a finite distance of the entrance of the semi-infinite[...]texto impreso
Antontsev, Stanislav Nikolaevich ; Díaz Díaz, Jesús Ildefonso ; de Oliveira, Hermenegildo Borges | Accademia Nazionale dei Lincei | 2004We consider a planar stationary flow of an incompressible viscous fluid in a semi-infinite strip governed by the Navier-Stokes system with a feed-back body forces field which depends on the velocity field. Since the presence of this type of non-[...]texto impreso
We study the initial behavior of the fronts (for interfaces) generated by the solutions of the equation ut=(um)xx+b(u?)x, where m,b,?> 0 are real numbers. We derive a mass comparison principle that allows us to give necessary and sufficient cond[...]texto impreso
We consider in this Note distributed systems governed by parabolic evolution equations which can blow up in finite time and which are controlled by initial conditions. We study here the following question: can one choose the initial condition in[...]texto impreso
Díaz Díaz, Jesús Ildefonso ; Nagai, Toshitaka ; Rakotoson, Jean Michel Theresien | Elsevier | 1998-05-01The authors study the parabolic-elliptic system on RN: ?u/?t=??(?u??u?v), 0=?v??v+?u, u(0,?)=u0, a version of the mathematical model of chemotaxis proposed by Keller and Segel. A differential inequality for the quantity ?s0u?(t,?)d?, where u[...]texto impreso
We consider nonnegative solutions of degenerate parabolic equations with a singular absorption term and a source nonlinear term: partial derivative(t)u - (vertical bar u(x)vertical bar(P-2)u(x))(x) + u(-beta) X{u > 0} = f (u,x,t), in I x (0, T)[...]texto impreso
We study the support of the solution of the dam problem and estimate its growth from above and from below for small t . We derive sufficient conditions in order that it grows with finite or infinite speed. Moreover a monotonicity result for the [...]texto impreso
In this note we study the waiting time phenomenon for local solutions of the nonlinear diffusion equation through its connection with the nondiffusion of the support property for local solutions of the family of discretized elliptic problems. We[...]texto impreso
We prove the existence of a periodic solution to the problem u(t) - Delta(p)u + R-e(x,u) is an element of mu Q(x,t)beta(u) in M x R, assumed p greater than or equal to 2, M a compact connected and oriented bidimensional Riemannian manifold witho[...]texto impreso
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In this note we estimate the maximal growth rate at the boundary of viscosity solutions to ???u + ?|u| m?1 u = f in ? (? > 0, m > 3).In fact, we prove that there is a unique explosive rate on the boundary for large solutions. A version of Liou[...]texto impreso
Motivated by a recent lecture of S. Smale, we propose here a variant of the model considered by F. Cucker and S. Smale for the formation of uniform flocks allowing to prove that the formation of an uniform structure take place in a finite time ([...]