The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

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

This book is a revised edition of my earlier book of the same title. The cur rent edition adopts
the structure of the earlier version but is much changed. The introduction now contains …

This book presents an account of theories of? ow in porous media which have proved
tractable to analysis and computation. In particular, the t-ories of Darcy, Brinkman, and …

The chapter is devoted to the investigation of the relationship between slow integral
manifolds of singularly perturbed differential equations and critical phenomena in chemical …

В предлагаемой книге излагается общий подход к априорным оценкам решений
нелинейных уравнений и неравенств в частных производных, основанный на методе …

The effect of a third-order fluid on the peristaltic transport in an asymmetric channel is
studied. The wavelength of the peristaltic waves is assumed to be large compared to the …

This paper is concerned with establishing necessary or sufficient conditions for the existence
of solutions to evolution equations with fractional derivatives in space and time. The Fujita …

We survey rigorous, formal and numerical results on the formation of point-like singularities
(or blow-up) for a wide range of evolution equations. We use a similarity transformation of …

We consider an initial-boundary value problem for the semilinear heat equation whose
solution may blow up in finite time. We use a differential inequality technique to determine a …