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Autor Herrero, Miguel A. |
Documentos disponibles escritos por este autor (100)
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López Alfonso, Juan Carlos ; Butazzo, Giuseppe ; García Archilla, B. ; Herrero, Miguel A. ; Nuñez, L. | American Institute of Mathematical Sciences | 2012-09Radiotherapy is an important clinical tool to fight malignancies. To do so, a key point consists in selecting a suitable radiation dose that could achieve tumour control without inducing significant damage to surrounding healthy tissues. In spit[...]![]()
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We consider the Cauchy problem (1) ut=uxx+up, x?R, t> 0, p> 1, (2) u(x,0)=u0(x),x?R, where u0(x) is continuous, nonnegative and bounded. Assume that the solution u(x,t) of (1), (2) blows up at x=0, t=T. We describe here the generic asymptotic be[...]![]()
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In the following the reader will find a short description of some issues related to the modeling, analysis and simulation of large populations of living systems, a research field which is currently deserving a considerable interest, and that has[...]![]()
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Background: The choice of any radiotherapy treatment plan is usually made after the evaluation of a few preliminary isodose distributions obtained from different beam configurations. Despite considerable advances in planning techniques, such fin[...]![]()
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Herrero, Miguel A. ; Oleaga Apadula, Gerardo Enrique ; Echeverri, L.F. ; López, J. M. | Springer | 2014-12This work is concerned with the sequence of events taking place during the first stages of bone fracture healing, from bone breakup until the formation of early fibrous callus (EFC). The latter provides a scaffold over which subsequent remodelin[...]![]()
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We obtain existence and uniqueness of solutions with compact support for some nonlinear elliptic and parabolic problems including the equations of one-dimensional motion of a non-newtonian fluid. Precise estimates for the support of these soluti[...]![]()
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This note is an account of results obtained by the author [Rev. Real Acad. Cienc. Exact. Fís. Natur. Madrid 75 (1981), no. 5, 1165–1183; MR0649591 (83m:35076)], and the author and J. L. Vázquez ["On a class of nonlinear parabolic equations'', to[...]![]()
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The authors consider the system, defined for t> 0, -?![]()
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The authors consider blow-up for the equation (1) ut=?u+up (x?RN, t> 0), where p> 1 and N> 1. For N> 11and (2) p> (N?2(N?1)1/2)/(N?4?2(N?1)1/2)=p1(N) there exist some radial positive solutions that blow up at x=0, t=T![]()
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A simple model of chemical kinetics with two concentrations u and v can be formulated as a system of two parabolic variational inequalities with reaction rates v(p) and u(q) for te diffusion processes of u and v, respectively. It is shown that i[...]![]()
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Consider the initial-boundary value problem for ut=?u-?u(q) with ?> 0, 0![]()
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We consider the semilinear heat equation with critical power nonlinearity. Using formal. arguments based on matched asymptotic expansion techniques, we give a detailed description of radially symmetric sign-changing solutions, which blow-up at x[...]![]()
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Human societies are formed by different socio-economical classes which are characterized by their contribution to, and their share of, the common wealth available. Cheaters, defined as those individuals that do not contribute to the common wealt[...]![]()
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We consider the following system: [GRAPHICS] which has been used as a model for various phenomena, including motion of species by chemotaxis and equilibrium of self-attracting clusters. We show that, in space dimension N = 3, (S) possess radial [...]![]()
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Consider the Cauchy problem ut=uxx+up, x?R, t> 0, u(x,0)=u0(x), x?R, where p> 1 and u0(x) is continuous, nonnegative and bounded. Assume that u(x,t) blows up at x=0, t=T and set u(x,t)=(T?t)?1/(p?1)?(y,?), y=x/T?t?????, ?=?ln(T?t). Here we show [...]