Información del autor
Documentos disponibles escritos por este autor (11)
Añadir el resultado a su cesta Hacer una sugerencia Refinar búsqueda
texto impreso
Díaz Díaz, Jesús Ildefonso ; Lerena Guil, María Belen ; Padial Molina, Juan Francisco ; Rakotoson, Jean Michel Theresien | Elsevier | 2004-04-10We prove the existence and the regularity of weak solutions of a nonlocal elliptic–parabolic free-boundary problem involving the notions of relative rearrangement and monotone rearrangement. The problem arises in the study of the dynamics of a m[...]texto impreso
Díaz Díaz, Jesús Ildefonso ; Padial Molina, Juan Francisco ; Rakotoson, Jean Michel Theresien | Pergamon-Elsevier Science | 1998The model studied concerns the case of a stellarator machine and the magnetic confinement is modeled by using averaging methods and suitable vacuum coordinates. This is shown to lead to a two-dimensional Grad-Shafranov type problem for the avera[...]texto impreso
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 [...]texto impreso
We obtain the existence of solutions of a two-dimensional free boundary problem modelling the magnetic confinement of a plasma in a Stellarator configuration. The nonlinear elliptic equation was obtained from the 3-D MHD system by Hender and Car[...]texto impreso
We prove the existence and some qualitative properties of the solution to a two-dimensional free-boundary problem modeling the magnetic confinement of a plasma in a Stellarator configuration. The nonlinear elliptic partial differential equation [...]texto impreso
Díaz Díaz, Jesús Ildefonso ; Padial Molina, Juan Francisco ; Rakotoson, Jean Michel Theresien | Cambridge University Press | 2007-09-18We consider some Bernoulli free boundary type problems for a general class of quasilinear elliptic (pseudomonotone) operators involving measures depending on unknown solutions. We treat those problems by applying the Ambrosetti-Rabinowitz minima[...]texto impreso
We study the differentiability of very weak solutions v is an element of L(1) (Omega) of (v, L* phi)(0) = (f, phi)(0) for all phi is an element of C(2)((Omega) over bar) vanishing at the boundary whenever f is in L(1) (Omega, delta), with delta [...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]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[...]
