Información del autor
Autor Herrero, Miguel A. |
Documentos disponibles escritos por este autor (100)
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Positive solutions of the semilinear parabolic equations u(t) - u(xx) = u(p), p > 1 and u(t) - u(xx) = e(u) for - ? 0 which blow up at a single point x = 0 at a finite instant of time t = T > 0 are considered. Using formal me[...]![]()
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We consider nonnegative solutions of the semilinear parabolic equation u t —u xx + u p = 0, -? 0, 0![]()
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We discuss the existence of travelling-wave solutions with interfaces for the nonlinear heat equation with absorption ut = a(um)xx – bu(n) with a, b> 0 and m, n ? R. Several situations occur depending on the relative strength of the di[...]![]()
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We consider the semilinear system (S) ut?uxx+vp=0, vt?vxx+uq=0(?? 0 and q> 0. We seek nonnegative and nontrivial travelling wave solutions to (S): u(x,t)=?(ct?x), v(x,t)=?(ct?x) possessing sharp fronts, i.e., such that ?(?)=?(?)=0 for ???0 and [...]![]()
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This paper is concerned with a quantitative model describing the interaction of three sociological species, termed as owners, criminals and security guards, and denoted by X, Y and Z respectively. In our model, Y is a predator of the species X, [...]![]()
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Radiotherapy consists in the delivery of ionizing radiation with curative goals. It represents a major modality for treating solid malignancies in any anatomical site. It requires extremely precise dosimetry and delivery to control the lesion wh[...]![]()
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A mathematical model for the formation of microaggregates (microthrombi) of fibrin polymers in blood flow is considered. It is assumed that the former are induced by an external source (which may be of inflammatory or tumor nature) located in a [...]![]()
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Let (u(t, x), v(t, x)) and (uBAR(t, x), vBAR(t, x)) be two nonnegative classical solutions of (S)[GRAPHICS:{ut=?u+vp, p> 0 ; vt=?v+uq, q> 0] in some strip S(T) = (0, T) x R(N), where 0![]()
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We show the existence of instantaneous shrinking of the support and finite extinction time for a nonlinear parabolic problem (see (P) below) corresponding to a nonlinear diffusion with absorption phenomenon