[PDF][PDF] Robust exponential attractors for singularly perturbed phase-field type equations.

A Miranville, S Zelik - Electronic Journal of Differential Equations (EJDE) …, 2002 - eudml.org
In this article, we construct robust (ie lower and upper semicontinuous) exponential
attractors for singularly perturbed phase-field type equations. Moreover, we obtain estimates …

[PDF][PDF] Asymptotic behaviour for a phase field model in higher order Sobolev spaces

A Jiménez-Casas, A Rodríguez-Bernal - Rev. Mat. Complut, 2002 - mat.ucm.es
ASYMPTOTIC BEHAVIOUR FOR A PHASE FIELD MODEL IN HIGHER ORDER SOBOLEV
SPACES A. JIMÉNEZ-CASAS and A. RODRÍGUEZ-BERNAL 1 Introdu Page 1 REVISTA …

Numerical analysis of a closed-loop thermosyphon including the Soret effect

ÁJ Casas, AML Ovejero - Applied mathematics and computation, 2001 - Elsevier
We analyse the motion of a fluid containing a soluble substance in the interior of a closed
loop under the effects of natural convection and a given external heat flux. Numerical …

[HTML][HTML] Phase-field model with concentrating-potential terms on the boundary

Á Jiménez-Casas - Results in Applied Mathematics, 2025 - Elsevier
In this paper we analyze a generalization of the semilinear phase field model from G.
Caginalp (1986, 1991) and A. Jiménez-Casas-A. Rodriguez-Bernal (1996, 2005), where we …

Linear stability analysis and metastable solutions for a phase-field model

A Jiménez-Casas, A Rodríguez-Bernal - Proceedings of the Royal …, 1999 - cambridge.org
We study the linear stability of equilibrium points of a semilinear phase-field model, giving
criteria for stability and instability. In the one-dimensional case, we study the distribution of …

Metastable solutions for the thin-interface limit of a phase-field model

A Jiménez-Casas - Nonlinear Analysis: Theory, Methods & Applications, 2005 - Elsevier
We consider a generalization of the semilinear phase-field model from Jiménez-Casas and
Rodriguez-Bernal (Proc. Roy. Soc. Edinburgh 129A (1999) 571–600), for a more general …

Metastable solutions for the thin‐interface limit of ap‐Laplacian phase field model

Á Jiménez‐Casas - Mathematical Methods in the Applied …, 2018 - Wiley Online Library
We consider a generalization of the semilinear phase field model from G. Caginalp), A.
Jiménez‐Casas, and Rodriguez‐Bernal using a nonlinear diffusion operator (p‐Laplacian) …

Numerical Analysis of a closed loop Thermosyphon model with a viscoelastic fluid

A Jiménez-Casas, M Castro, J Yasappan - mat.ucm.es
We analyze the motion of a viscoelastic fluid in the interior of a closed loop thermosyphon
under the effects of natural convection and a given external heat flux. Numerical …

Asymptotic behaviour for a phase field model in higher order Sobolev spaces

A Rodríguez Bernal, Á Jiménez Casas - 2002 - docta.ucm.es
ASYMPTOTIC BEHAVIOUR FOR A PHASE FIELD MODEL IN HIGHER ORDER SOBOLEV
SPACES A. JIMÉNEZ-CASAS and A. RODRÍGUEZ-BERNAL 1 Introdu Page 1 REVISTA …

[引用][C] Soluciones metaestables para un modelo de campos de fase con más de dos fases