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Sharp regularity estimates for second order fully nonlinear parabolic equations
(Springer, 2017-12)
We prove sharp regularity estimates for viscosity solutions of fully nonlinear parabolic equations of the form (Formula Presented.)where F is elliptic with respect to the Hessian argument and f∈ Lp , q(Q1). The quantity ...
Loss of boundary conditions for fully nonlinear parabolic equations with superquadratic gradient terms
(2018)
We study whether the solutions of a fully nonlinear, uniformly parabolic equation with superquadratic growth in the gradient satisfy initial and homogeneous boundary conditions in the classical sense, a problem we refer ...
Computing Numerical Solutions Of The Pseudo-parabolic Buckley Leverett Equation With Dynamic Capillary Pressure
(Elsevier Science BVAmsterdam, 2017)
QUALITATIVE PROPERTIES OF NONLINEAR PARABOLIC EQUATIONS WITH DOMINATING GRADIENT TERMSPROPIEDADES CUALITATIVAS DE ECUACIONES PARABOLICAS NO-LINEALES CON TÉRMINOS GRADIENTE DOMINANTESQualitative properties of nonlinear parabolic equatións with dominating gradient termspropiedades cualitativas de ecuaciónes parabolicas no-lineales con términos gradiente dominantes
(2018)
My thesis consists of contributions to the study of viscosity solutions of nonlinear parabolic equations. We address the phenomena of continuous solvability, loss of boundary conditions, and the large-time behavior for ...
Ecuaciones parabólicas degeneradas en forma mixta
(Medellín - Ciencias - Doctorado en Ciencias - MatemáticasEscuela de matemáticasUniversidad Nacional de Colombia - Sede Medellín, 2020-08-13)
The aim of this work is to show an abstract framework to analyze the family of linear degenerate parabolic problems and family of linear degenerate parabolic mixed problems. To linear degenerate parabolic mixed equations, ...
Optimal Control And Controllability Of A Phase Field System With One Control Force
(Springer New York LLC, 2014)
On the Secondary Instability of Forced and Unforced Laminar Separation Bubbles
(2015-01-01)
Previous studies demonstrate that the primary instability of laminar separation bubbles (LSB) on a flat-plate in the absence of external forcing is a three-dimensional centrifugal one. This work develops a weakly non-linear ...