Archivo Digital UPM: No conditions. Results ordered -Date Deposited. 2019-12-07T12:03:21ZEPrintshttp://oa.upm.es/style/images/logo-archivo-digital.pnghttp://oa.upm.es/2017-04-03T13:49:33Z2019-06-10T14:37:38Zhttp://oa.upm.es/id/eprint/44825This item is in the repository with the URL: http://oa.upm.es/id/eprint/448252017-04-03T13:49:33ZAn inverse problem for the compressible Reynolds equationWe study the existence of solutions to a system of equations for equilibrium positions in lubricated journal bearings under load effects. The mechanism under consideration consists of two parallel cylinders, one inside the other, in close distance and relative motion. The unknowns of the problem are the equilibrium position of the inner cylinder and the pressure of the lubricant described by the compressible Reynolds equation. To complete the system, Newton's second law gives the equilibrium of forces. We present results on existence of solutions for a range of applied forces F.Rene Dager SalomonMihaela NegreanuJose Ignacio Tello del Castillo2017-03-31T15:28:29Z2017-03-31T15:28:29Zhttp://oa.upm.es/id/eprint/44843This item is in the repository with the URL: http://oa.upm.es/id/eprint/448432017-03-31T15:28:29ZAn inverse problema for the compressible Reynolds equationWe study the existence of solutions to a system of equations for equilibrium positions in lubricated journal bearings under load effects. The mechanism under consideration consists of two parallel cylinders, one inside the other, in close distance and relative motion. The unknowns of the problem are the equilibrium position of the inner cylinder and the pressure of the lubricant described by the compressible Reynolds equation. To complete the system, Newton?s second law gives the equilibrium of forces. We present results on existence of solutions for a range of applied forces F.Rene Dager SalomonMihaela NegreanuJose Ignacio Tello del Castillo2011-11-08T08:17:54Z2016-04-20T17:54:06Zhttp://oa.upm.es/id/eprint/9513This item is in the repository with the URL: http://oa.upm.es/id/eprint/95132011-11-08T08:17:54ZOn the Keller-Segel System with External Application of ChemoattractantChemotaxis is the ability of microorganisms to respond to chemical signals by moving along the gradient of the chemical substance, either toward the higher concentration (positive taxis) or away from it (negative taxis).Jose Ignacio Tello del CastilloMichael Winkler2011-11-07T11:05:42Z2016-04-20T17:54:08Zhttp://oa.upm.es/id/eprint/9514This item is in the repository with the URL: http://oa.upm.es/id/eprint/95142011-11-07T11:05:42ZInverse Problems in Lubrication TheoryLubrication is the process whereby a fluid (the lubricant) fills the gap between two surfaces in close proximity and relative motion. Lubrication is employed to reduce friction and avoid contactS. CiupercaM. JayJose Ignacio Tello del Castillo2010-10-07T09:26:58Z2016-04-20T13:39:43Zhttp://oa.upm.es/id/eprint/4425This item is in the repository with the URL: http://oa.upm.es/id/eprint/44252010-10-07T09:26:58ZOn a mathematical model of morphogenesisWe consider a simple mathematical model of distribution of morphogens (signaling molecules responsible for the differentiation of cells and the creation of tissue patterns) similar to the model proposed by Lander, Nie and Wan in 2002.The model consists of a system of two equations: a PDE of parabolic type modeling the distribution of free morphogens with a dynamic boundary condition and an ODE describing the evolution of bound receptors. Three biological processes are taken into account: diffusion, degradation and reversible binding. We prove existence and uniqueness of solutions and its asymptotic behavior.Jose Ignacio Tello del Castillo