Exploració per tema "Classificació AMS::35 Partial differential equations::35K Parabolic equations and systems"
Ara es mostren els items 1-20 de 24
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A Caginalp phase-field system based on type III heat conduction with two temperatures
(2016-06-01)
Article
Accés obertOur aim in this paper is to study a generalization of the Caginalp phasefield system based on the theory of type III thermomechanics with two temperatures for the heat conduction. In particular, we obtain well-posedness ... -
A generalization of the Allen–Cahn equation
(2015-04-01)
Article
Accés obertOur aim in this paper is to study generalizations of the Allen–Cahn equation based on a modification of the Ginzburg–Landau free energy proposed in S. Torabi et al. (2009, A new phase-field model for strongly anisotropic ... -
A model in price formation
(Universitat Politècnica de Catalunya, 2014-07)
Projecte Final de Màster Oficial
Accés obertIn this thesis a particular example of a price formation model was studied. The model consist of a (large) group of buyers and a (large) group of vendors trading a particular good at a certain price. The model is given by ... -
A Note on the Dynamics of Piecewise-Autonomous Bistable Parabolic Equations
(2000)
Article
Accés obert -
Asymptotic behavior of a Cahn-Hilliard/Allen-Cahn system with temperature
(2020-04)
Article
Accés obertThe main goal of this paper is to study the asymptotic behavior of a coupled Cahn-Hilliard/Allen-Cahn system with temperature. The work is divided into two parts: In the rst part, the heat equation is based on the usual ... -
Diffeomorphisms with Given Jacobians involving the Heat Equation
(2000-12)
Article
Accés obert -
Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier
(1999)
Article
Accés obertIn this Note, we consider the linear heat equation ut - Au= a(x)u in (0,T)xW,u=0 on (0,T)xaW, and u(0)=uº on W, where W C RN is a smooth bounded domain. We assume that a€L^loc(W) a >=0 and u>=. A simple condition on the ... -
Extremal solutions and instantaneous complete blow-up for elliptic and parabolic problems
(2005)
Article
Accés obert -
Further mathematical results concerning Burgers fluids and their generalizations
(2012-02-01)
Article
Accés restringit per política de l'editorialIn this paper, we extend the earlier work by Quintanilla and Rajagopal (Math Methods Appl Sci 29: 2133–2147, 2006) and establish qualitative new results for a proper generalization of Burgers’ original work that stems ... -
Modelling of pattern formation and growth driven by reaction-diffusion equations
(Universitat Politècnica de Catalunya, 2022-08)
Projecte Final de Màster Oficial
Accés obertThe development of the vertebrate joint is punctuated by a series of coordinated events regulated by molecular markers called morphogens. Some morphogens can activate or inhibit proliferation and/or the cell differentiation ... -
On a Caginalp phase-field system with two temperatures and memory
(2017-06)
Article
Accés obertThe Caginalp phase-field system has been proposed in [4] as a simple mathematical model for phase transition phenomena. In this paper, we are concerned with a generalization of this system based on the Gurtin-Pipkin law ... -
On a conjecture of Fujita
(2000)
Article
Accés obert -
On maps with given jacobians involving the heat equation
(2000)
Article
Accés obertIn this paper we presennt and analyze two new algorithms to construct a smooth diffeomorphism of a domain with prescribed jacobian function. The first one is free from any restriction on the boundary, while the second ... -
On the asymptotic spatial behaviour of the solutions of the nerve system
(2015-03-01)
Article
Accés obertIn this paper we investigate the asymptotic spatial behavior of the solutions for several models for the nerve fibers. First, our analysis deals with the coupling of two parabolic equations. We prove that, under suitable ... -
On the Caginalp phase-field systems with two temperatures and the Maxwell–Cattaneo law
(2016-10-31)
Article
Accés obertOur aim in this paper is to study generalizations of the nonconserved and conserved Caginalp phase-¿eld systems based on the Maxwell–Cattaneo law with two temperatures for heat conduction. In particular, we obtain ... -
On the number and Indices of equilibria in a space-dependent bistable equation
(1999)
Article
Accés obertWe study a singular perturbation problem of a piecewise autonomous bistable equation. We give sufficient conditions both for the boundedness and the unboundedness of the number and Morse index of its equilibrium solutions ... -
Parabolic phase-lag heat conduction theories revisited
(Elsevier, 2022-11)
Article
Accés restringit per política de l'editorialIn this note we show that, under certain conditions on the coe cients, the solutions of the parabolic phase-lag heat conduction models are determined by an analytic semigroup for which the inner product determines the ... -
Pointwise monotonicity of heat kernels
(Springer, 2021-12-13)
Article
Accés obertIn this paper we present an elementary proof of a pointwise radial monotonicity property of heat kernels that is shared by the Euclidean spaces, spheres and hyperbolic spaces. The main result was discovered by Cheeger and ... -
Simulation of non-linear flow density in transition state from the mathematical model of the diffusion of metal anions through a flat sheet supported liquid membrane
(2003)
Article
Accés obertA mathematical model is developed for the carrier facilitated transport of metal ions through a flat sheet support liquid membrane (FSSLM) in transition state from Fick’s second law. From this model, and from Fick’s first ... -
Sobolev contractivity of gradient flow maximal functions
(De Gruyter, 2023-10-27)
Article
Accés obertWe prove that the energy dissipation property of gradient flows extends to semigroup maximal operators in various settings. In particular, we show that the vertical maximal function relative to the p-parabolic extension ...