A5047548796- Advanced Mathematical Modeling in Engineering
- Nonlinear Partial Differential Equations
- Stability and Controllability of Differential Equations
- Advanced Mathematical Physics Problems
- Differential Equations and Numerical Methods
- Differential Equations and Boundary Problems
- Numerical methods in inverse problems
- Advanced Numerical Methods in Computational Mathematics
- Nonlinear Differential Equations Analysis
- Navier-Stokes equation solutions
- Composite Material Mechanics
- Mathematical Biology Tumor Growth
- Geometric Analysis and Curvature Flows
- advanced mathematical theories
- Mathematical and Theoretical Epidemiology and Ecology Models
- Fluid Dynamics and Turbulent Flows
- Advanced Thermodynamics and Statistical Mechanics
- Spectral Theory in Mathematical Physics
- Nonlinear Dynamics and Pattern Formation
- Numerical methods for differential equations
- Geotechnical and Geomechanical Engineering
- Stochastic processes and financial applications
- Historical Studies in Science
- Rheology and Fluid Dynamics Studies
- Contact Mechanics and Variational Inequalities
Universidad Complutense de Madrid
2015-2024
Mesoamerican University
2022
Nicolaus Copernicus University
2019
University of Augsburg
2018
Instituto de Hortofruticultura Subtropical y Mediterránea "La Mayora"
2017
Institute of Mathematical Sciences
2008-2014
Real Academia Española
2009-2010
Université de Poitiers
1996-2008
Auburn University
2008
Laboratoire de Mathématiques
2008
Click to increase image sizeClick decrease size Additional informationNotes on contributors J. I. Diaz J.M. Morel
This paper studies the Cauchy–Dirichlet problem associated with equation \[ b(u)_t - {\operatorname{div}}\left( {| {\nabla u K(b(u)){\bf e}} |^{p 2} (\nabla e})} \right) + g(x,u) = f(t,x).\] arises in study of some turbulent regimes: flows incompressible fluids through porous media and gases flowing pipes uniform cross sectional areas. The focuses on class bounded weak solutions, shows (under suitable assumptions) their stabilization, as $t \to \infty $, to set solutions stationary problem....
We use a local energy method to study the vanishing property of weak solutions elliptic equation <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="minus d i v upper A left-parenthesis x comma u D right-parenthesis plus B equals 0"> <mml:semantics> <mml:mrow> <mml:mo>−<!-- − --></mml:mo> <mml:mi>div</mml:mi> <mml:mspace width="thickmathspace" /> <mml:mi>A</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>x</mml:mi>...
We consider a nonlinear system of coupled ordinary differential equations (representing the excitatory, inhibitory, and T-cell potentials) based on Gate Control Theory Pain, initially proposed by R. Melzack P.D. Wall in 1965, later mathematically modeled N.F. Britton S.M. Skevington 1988.
This paper deals with the weak formulation of a free (moving) boundary problem arising in theoretical glaciology. Considering shallow ice sheet flow, we present mathematical analysis and numerical solution second order nonlinear degenerate parabolic equation modelling, isothermal case, non-Newtonian dynamics. An obstacle is then deduced analyzed. The existence generated by support proved its location evolution are qualitatively described using comparison principle an energy method. Then...
7R42. Energy Methods for Free Boundary Problems: Applications to Nonlinear PDEs and Fluid Mechanics. Progress in Differential Equations Their Applications, Vol 48. - SN Antontsev (Dept de Matematica, Univ Beira Interior, Covilha, 6201-001, Portugal), JI Diaz Matematica Aplicada, Complutenese, Madrid, 28040, Spain), S Shmarev Matematicas, Oviedo, 33007, Spain). Birkhauser Boston, Cambridge MA. 2002. 329 pp. ISBN 0-8176-4123-8. $79.95.Reviewed by AJ Kassab of Mech, Mat, Aerospace Eng, Col...
Synopsis We obtain existence and uniqueness of solutions with compact support for some nonlinear elliptic parabolic problems including the equations one-dimensional motion a non-newtonian fluid. Precise estimates these are obtained, optimality our hypotheses is discussed.
Some nonlinear stationary reaction-diffusion systems involving terms which may be discontinuous are considered. Such occur, for instance, in the study of chemical reactions, and discontinuities correspond to reactions order zero. In such concrete models, set where reactant vanishes plays an important role. Here we prove existence solutions a general class satisfying Dirichlet or boundary conditions. Necessary sufficient conditions given assuring that component on positive measure. Estimates...