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Díaz Díaz, Jesús Ildefonso ; Antontsev, S.N. | Real Academia Ciencias Exactas Físicas Y Naturales | 2007We study the boundary layer approximation of the, already classical, mathematical model which describes the discharge of a laminar hot gas in a stagnant colder atmosphere of the same gas. We start by proving the existence and uniqueness of solut[...]texto impreso
This paper deals with the study of some qualitative properties of solutions of mathematical models in non-Newtonian isothermal fluid flows and in theoretical glaciology. In the first type of models, we consider the extinction in a finite time of[...]texto impreso
We study the boundary-layer approximation of the classical mathematical model that, describes the discharge of a, laminar hot gas in a stagnant colder atmosphere of the same gas. We prove the existence and uniqueness of solutions to a nondegener[...]texto impreso
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[...]texto impreso
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 methodtexto impreso
Díaz Díaz, Jesús Ildefonso ; Antontsev, S.N. | Real Academia Ciencias Exactas Físicas Y Naturales | 2009We prove several uniform L(1)-estimates on solutions of a general class of one-dimensional parabolic systems, mainly coupled in the diffusion term, which, in fact, can be of degenerate type. They are uniform in the sense that they don't depend o[...]texto impreso
This paper is devoted to a mathematical analysis of some general models of mass transport and other coupled physical processes developed in simultaneous flows of surface, soil and ground waters. Such models are widely used for forecasting (numer[...]texto impreso
Since the beginnings of the 1980s some energy methods have been introduced as an alternative to comparison principles in order to prove space and time localization of solutions of suitable nonlinear parabolic or elliptic equations. The study of [...]texto impreso
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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[...]
