López Molina, Juan Antonio(Cambridge University Press (CUP), 2012-09)
[EN] We study an (n + 1)-tensor norm alpha(r) extending to (n + 1)-fold tensor products, the classical one of Lapreste in the case n = 1. We characterise the maps of the minimal and the maximal multi-linear operator ideals ...
López Molina, Juan Antonio; Rivera Ortun, María José; Berjano Zanón, Enrique(Hindawi Publishing Corporation, 2012)
Radiofrequency (RF) ablation with internally cooled needle-like electrodes is widely used in medical techniques such as tumor ablation. The device consists of a metallic electrode with an internal liquid cooling system ...
López Molina, Juan Antonio; Rivera Ortun, María José; Berjano Zanón, Enrique(Elsevier, 2016-10-26)
[EN] Radiofrequency ablation (RFA) with internally cooled needle-like electrodes is a technique widely used to destroy cancer cells. In a previous study we obtained the analytical solution of the biological heat equation ...
López Molina, Juan Antonio; Rivera Ortun, María José; Berjano, Enrique(American Institute of Mathematical Sciences (AIMS), 2016-04)
[EN] It has been suggested that during RF thermal ablation of biological tissue the thermal lesion could reach an equilibrium size after 1-2 minutes. Our objective was to determine under which circumstances of electrode ...
López Molina, Juan Antonio(Scientific Research Organisation, 2018-01-09)
[EN] We find existence and uniqueness results about solutions of Robin's problem for the general anisotropic
hyperbolic heat equation in the case of infinitely differentiable coefficients but irregular distributions data
for ...
López Molina, Juan Antonio; Rivera Ortun, María José; Berjano, Enrique(Royal Society, The, 2014-10-08)
[EN] Parabolic heat equation based on Fourier's theory (FHE), and hyperbolic heat equation (HHE), has been used to mathematically model the temperature distributions of biological tissue during thermal ablation. However, ...
Trujillo Guillen, Macarena(Universitat Politècnica de València, 2008-05-06)
En esta memoria se recoge fundamentalmente el estudio, bajo el punto de vista del modelo hiperbólico de transmisión del calor, de un problema de transmisión del calor basado en el procesado de materiales mediante pulsos ...
Rivera Ortun, María José; Trujillo Guillen, Macarena; Romero García, Vicente; López Molina, Juan Antonio; Berjano Zanón, Enrique(Elsevier, 2013-08)
The hyperbolic bioheat equation (HBE) has been used to model heating applications involving very short power pulses. This equation includes two mathematical distributions (Heaviside and Delta) which have to be necessarily ...
López Molina, Juan Antonio; Trujillo Guillen, Macarena(Pushpa Publishing House, 2013-11)
We present some results about the traces of solutions of the anisotropic hyperbolic heat equation over the boundary of cylindrical open sets of types Ω x ]0, T [ and Ωx ]0, ∞[, when the heat sources are irregular distributions.
López Molina, Juan Antonio; Trujillo Guillen, Macarena(Scientific and Technological Research Council of Turkey, 2017)
[EN] We study regularity properties for the solution of homogeneous boundary value problems for the anisotropic
hyperbolic heat equation in the case of in nitely differentiable coefficients but irregular distributions as ...