Results 261 to 270 of about 11,512,228 (286)

``Blow-up'' of bounded solutions of differential equations

2003
The paper is a generalization of a ``negative'' result telling that on infinite-dimensional Banach spaces bounded solutions of differential equations blowing up in finite time could exist. Unlike the known counter-examples, here, the autonomous case is considered and the construction is valid on all infinite-dimensional Banach spaces.
Komornik, Vilmos, Martinez, Patrick, Pierre, Michel, Vancostenoble, Judith   +3 more
openaire   +2 more sources

A rescaling algorithm for the numerical calculation of blowing‐up solutions

Communications on Pure and Applied Mathematics, 1988
A method is developed for computing solutions of certain nonlinear evolution equations near a developing singularity in space-time. The main tools are rescaling and mesh refinement; in essence, the method uses a varying spatial grid and time step, linked at each point of space-time to the magnitude of the computed solution.
Berger, Marsha, Kohn, Robert V.
openaire   +1 more source

Impulsive quenching and blow-up of solutions

Nonlinear Analysis: Theory, Methods & Applications, 1997
The author gives a review of the results obtained in the recent years on the quenching phenomena and blow-up of solutions of impulsive PDE. The paper consists of three sections dealing with impulsive parabolic quenching, impulsive hyperbolic quenching and impulsive parabolic blow-up, respectively.
openaire   +2 more sources

A note on blow-up solutions for a scalar differential equation with a discrete delay

Japan Journal of Industrial and Applied Mathematics, 2022
Tetsuya Ishiwata
exaly  

Blow-up solutions for a case of b-family equations

Acta Mathematica Scientia, 2020
Rui Liu
exaly  

Global weak solutions and blow-up structure for the Degasperis–Procesi equation

Journal of Functional Analysis, 2006
Joachim Escher, Zhaoyang Yin
exaly  

Blow-up of solutions of the hyperbolic Prandtl system

Applied Mathematics Letters
Yihan Bao, Zhong Tan
openaire   +2 more sources

Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity

Journal of Mathematical Analysis and Applications, 2015
Gongwei Liu
exaly  

Blow-Up and Decay of the Solution of the Weakly Dissipative Degasperis–Procesi Equation

SIAM Journal on Mathematical Analysis, 2008
Zhaoyang Yin
exaly  

Finite time blow-up of nonradial solutions in an attraction–repulsion chemotaxis system

Nonlinear Analysis: Real World Applications, 2017
Sining Zheng
exaly