Global existence for a singular phase field system related to a sliding mode control problem
, 2017 In the present contribution we consider a singular phase field system located in a smooth and bounded three-dimensional domain. The entropy balance equation is perturbed by a logarithmic nonlinearity and by the presence of an additional term involving a ...
Colli, Pierluigi, Colturato, Michele
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Global and exponential attractors for the Penrose-Fife system
, 2008 The Penrose-Fife system for phase transitions is addressed. Dirichlet boundary conditions for the temperature are assumed. Existence of global and exponential attractors is proved.
Schimperna, Giulio
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Regular and Singular Pulse and Front Solutions and Possible Isochronous Behavior in the Short-Pulse Equation: Phase-Plane, Multi-Infinite Series and Variational Approaches [PDF]
, 2014 In this paper we employ three recent analytical approaches to investigate the possible classes of traveling wave solutions of some members of a family of so-called short-pulse equations (SPE).
Choudhury, A. Ghose +4 more
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Lie symmetries of nonlinear boundary value problems [PDF]
, 2012 Nonlinear boundary value problems (BVPs) by means of the classical Lie symmetry method are studied. A new definition of Lie invariance for BVPs is proposed by the generalization of existing those on much wider class of BVPs.
Alexiades +43 more
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Singular limit of an integrodifferential system related to the entropy balance
, 2014 A thermodynamic model describing phase transitions with thermal memory, in terms of an entropy equation and a momentum balance for the microforces, is adressed. Convergence results and error estimates are proved for the related integrodifferential system
Bonetti, Elena +2 more
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Travelling-wave analysis of a model describing tissue degradation by bacteria
, 2007 We study travelling-wave solutions for a reaction-diffusion system arising as a model for host-tissue degradation by bacteria. This system consists of a parabolic equation coupled with an ordinary differential equation.
Hilhorst, Danielle +2 more
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On the Caginalp phase-field systems with two temperatures and the Maxwell–Cattaneo law [PDF]
, 2016 This is the peer reviewed version of the following article: Miranville, A., and Quintanilla, R. (2016) On the Caginalp phase-field systems with two temperatures and the Maxwell–Cattaneo law. Math. Meth. Appl. Sci., 39: 4385–4397, which has been published
Aizicovici +41 more
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Optimal distributed control of a stochastic Cahn-Hilliard equation [PDF]
, 2019 We study an optimal distributed control problem associated to a stochastic Cahn-Hilliard equation with a classical double-well potential and Wiener multiplicative noise, where the control is represented by a source-term in the definition of the chemical ...
Scarpa, Luca
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Nonlinear diffusion equations as asymptotic limits of Cahn-Hilliard systems
, 2015 An asymptotic limit of a class of Cahn-Hilliard systems is investigated to obtain a general nonlinear diffusion equation. The target diffusion equation may reproduce a number of well-known model equations: Stefan problem, porous media equation, Hele-Shaw
Alt +45 more
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A compressible mixture model with phase transition [PDF]
, 2013 We introduce a new thermodynamically consistent diffuse interface model of Allen--Cahn/Navier--Stokes type for multi-component flows with phase transitions and chemical reactions.
Dreyer, Wolfgang +2 more
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