Results 11 to 20 of about 111 (109)
On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient
Electronic Journal of Differential Equations, 2002 We study the Cauchy problem for the nonlinear (possibly strongly) degenerate parabolic transport-diffusion equation $$ partial_t u + partial_x (gamma(x)f(u))=partial_x^2 A(u), quad A'(cdot)ge 0, $$ where the coefficient $gamma(x)$ is possibly ...
John D. Towers +2 more
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Blow-up for an evolution
Boundary Value Problems, 2011 This paper investigates the blow-up properties of positive solutions to the following system of evolution p-Laplace equations with nonlocal sources and inner absorptions { u t − div ( | ∇ u | p − 2 ∇ u ) =
Liu Dengming +3 more
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Existence of solutions for a biharmonic equation with gradient term [PDF]
, 2023 In this paper, we mainly study the existence of radial solutions for a class of biharmonic equation with a convection term, involving two real parameters.
HAMYDY, Ahmed +2 more
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Free boundary and optimal stopping problems for American Asian options [PDF]
, 2007 American option, Asian option, Free boundary problem, Optimal stopping, 35K65, C02,
Pascucci, Andrea +2 more
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Blow-up for an evolution p-laplace system with nonlocal sources and inner absorptions [PDF]
, 2011 This paper investigates the blow-up properties of positive solutions to the following system of evolution p-Laplace equations with nonlocal sources and inner absorptions
Dengming Liu +3 more
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On the relativistic heat equation in one space dimension
Proceedings of the London Mathematical Society, Volume 107, Issue 6, Page 1395-1423, December 2013., 2013 We study the relativistic heat equation in one space dimension. We prove a local regularity result when the initial datum is locally Lipschitz in its support. We propose a numerical scheme that captures the known features of the solutions and allows for analysing further properties of their qualitative behaviour.
J. A. Carrillo, V. Caselles, S. Moll
wiley +1 more source
Modeling and Simulation of a Bacterial Biofilm That Is Controlled by pH and Protonated Lactic Acids
Computational and Mathematical Methods in Medicine, Volume 9, Issue 1, Page 47-67, 2008., 2008 We present a mathematical model for growth and control of facultative anaerobic bacterial biofilms in nutrient rich environments. The growth of the microbial population is limited by protonated lactic acids and the local pH value, which in return are altered as the microbial population changes.
Hassan Khassehkhan, Hermann J. Eberl
wiley +1 more source
A free boundary problem describing the saturated‐unsaturated flow in a porous medium
Abstract and Applied Analysis, Volume 2004, Issue 9, Page 729-755, 2004., 2004 This paper presents a functional approach to a nonlinear model describing the complete physical process of water infiltration into an unsaturated soil, including the saturation occurrence and the advance of the wetting front. The model introduced in this paper involves a multivalued operator covering the simultaneous saturated and unsaturated flow ...
Gabriela Marinoschi
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On a nonlinear compactness lemma in Lp(0, T; B)
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 27, Page 1725-1730, 2003., 2003 We consider a nonlinear counterpart of a compactness lemma of Simon (1987), which arises naturally in the study of doubly nonlinear equations of elliptic‐parabolic type. This paper was motivated by previous results of Simon (1987), recently sharpened by Amann (2000), in the linear setting, and by a nonlinear compactness argument of Alt and Luckhaus ...
Emmanuel Maitre
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International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 53, Page 3385-3411, 2003., 2003 We study the hp version of three families of Eulerian‐Lagrangian mixed discontinuous finite element (MDFE) methods for the numerical solution of advection‐diffusion problems. These methods are based on a space‐time mixed formulation of the advection‐diffusion problems.
Hongsen Chen, Zhangxin Chen, Baoyan Li
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