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

The course aims at presenting an introduction to the subject of singularity formation in
nonlinear evolution problems usually known as blowup. In short, we are interested in the …

The purpose of this book is to present typical methods (including rescaling methods) for the
examination of the behavior of solutions of nonlinear partial di? erential equations of di …

In this paper, we introduce a new method for investigating the rate and profile of blow-up of
solutions of diffusion equations with nonlocal nonlinear reaction terms. For large classes of …

Micro-and nanoelectromechanical systems (MEMS and NEMS), which combine electronics
with miniature-size mechanical devices, are essential components of modern technology. It …

Au + lulP-u Page 1 Vol. 86, No. DUKE MATHEMATICAL JOURNAL (C) 1997 STABILITY OF
THE BLOW-UP PROFILE FOR EQUATIONS OF THE TYPE ut- Au + lulP-lu FRANK MERLE …

Optimal estimates for blow-up rate and behavior for nonlinear heat equations Page 1 Optimal
estimates for blow-up rate and behavior for nonlinear heat equations Frank Merle Institute for …

In this paper we consider the numerical solution of PDEs with blow-up for which scaling
invariance plays a natural role in describing the underlying solution structures. It is a …

In this paper we study blowup of radially symmetric solutions of the nonlinear heat equation
ut= Δu+| u| p− 1u either on ℝN or on a finite ball under the Dirichlet boundary conditions. We …

The subject of blow-up in a finite time, or at least very rapid growth, of a solution to a partial
differential equation has been an area of intense re search activity in mathematics. Some …