Pavol Quittner Philippe Souplet Blow-up, Global Existence and Steady States Second
Edition Page 1 Birkhäuser Advanced Texts Basler Lehrbücher Pavol Quittner Philippe …

The goal of this paper is to describe the state of the art on the question of global existence of
solutions to reaction-diffusion systems for which two main properties hold: on one hand, the …

We prove possible blowup in finite time of the solutions to reaction-diffusion systems which
preserve nonnegativity and for which the total mass of the components is nonincreasing in …

Publisher Summary This chapter discusses nonlinear reaction–diffusion systems. An
example is illustrated in the chapter of a system where both of the diffusion coefficients are …

In this paper we study the existence of global weak solutions for 2× 2 reaction-diffusion
systems for which two main properties hold: the positivity of the solutions and the total mass …

To prove global existence for solutions of m-component reaction–diffusion systems presents
fundamental difficulties in the case in which some components of the system satisfy …

PARTLY DISSIPATIVE REACTION-DIFFUSION SYSTEMS AND A MODEL OF
PHOSPHORUS DIFFUSION IN SILICON Selwyn L. Hollis Department of Math Page 1 …

Over the years, reaction-diffusion systems have attracted the attention of a great number of
investigators and were successfully developed on the theoretical backgrounds. Not only it …

Publisher Summary This chapter discusses Backlund and reciprocal transformations. The
role of Backlund transformations (BTs) is well established in the analysis of nonlinear …

After a brief discussion of known global wellposedness results for semilinear systems, we
introduce a class of quasilinear systems and obtain spatially local estimates which allow us …