Results 11 to 20 of about 650,634 (265)

The Betti numbers of the moduli space of stable sheaves of rank 3 on P2 [PDF]

open access: yes, 2011
This article computes the generating functions of the Betti numbers of the moduli space of stable sheaves of rank 3 on the projective plane P2 and its blow-up. Wall-crossing is used to obtain the Betti numbers on the blow-up.
Manschot, Jan
core   +1 more source

Similarity stabilizes blow up [PDF]

open access: yesJournal of Differential Equations, 1999
The blow-up of solutions to a quasilinear heat equation is studied using a similarity transformation that turns the equation into a nonlocal equation whose steady solutions are stable. This allows energy methods to be used, instead of the comparison principles used previously.
openaire   +2 more sources

Blow-up analysis in a quasilinear parabolic system coupled via nonlinear boundary flux

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
This paper deals with the blow-up of the solution for a system of evolution $p$-Laplacian equations $u_{it}=\text{div}(|\nabla u_{i}|^{p-2}\nabla u_{i})\;(i=1,2,\dots,k)$ with nonlinear boundary flux.
Pan Zheng, Zhonghua Xu, Zhangqin Gao
doaj   +1 more source

Shadows of blow-up algebras [PDF]

open access: yes, 2002
We study different notions of blow-up of a scheme X along a subscheme Y, depending on the datum of an embedding of X into an ambient scheme. The two extremes in this theory are the ordinary blow-up, corresponding to the identity, and the `quasi-symmetric
Aluffi, Paolo
core   +3 more sources

Field patterns without blow up

open access: yesNew Journal of Physics, 2017
Field patterns, first proposed by the authors in Milton and Mattei (2017 Proc. R. Soc. A 473 20160819), are a new type of wave propagating along orderly patterns of characteristic lines which arise in specific space-time microstructures whose geometry in
Ornella Mattei, Graeme W Milton
doaj   +1 more source

Stable self-similar blow-up dynamics for slightly $L^2$-supercritical generalized KdV equations [PDF]

open access: yes, 2015
In this paper we consider the slightly $L^2$-supercritical gKdV equations $\partial_t u+(u_{xx}+u|u|^{p-1})_x=0$, with the nonlinearity ...
C. Sulem   +29 more
core   +3 more sources

Blow-up for a degenerate and singular parabolic equation with a nonlocal source

open access: yesAdvances in Difference Equations, 2019
This article studies the blow-up phenomenon for a degenerate and singular parabolic problem. Conditions for the local and global existence of solutions for the problem are given.
Nitithorn Sukwong   +3 more
doaj   +1 more source

Blow-up phenomena and lifespan for a quasi-linear pseudo-parabolic equation at arbitrary initial energy level

open access: yesBoundary Value Problems, 2018
In this paper, we continue to study the initial boundary value problem of the quasi-linear pseudo-parabolic equation ut−△ut−△u−div(|∇u|2q∇u)=up $$ u_{t}-\triangle u_{t}-\triangle u-\operatorname{div}\bigl(| \nabla u|^{2q}\nabla u\bigr)=u^{p} $$ which was
Gongwei Liu, Ruimin Zhao
doaj   +1 more source

Blow-Up Sequences and Blow-Up Limits

open access: yes, 2022
AbstractLet D be an open set in $$\mathbb {R}^d$$ ℝ d and $$u:D\to \mathbb {R}$$ u : D → ℝ
openaire   +1 more source

Blow up profiles for a quasilinear reaction-diffusion equation with weighted reaction

open access: yes, 2019
We perform a thorough study of the blow up profiles associated to the following second order reaction-diffusion equation with non-homogeneous reaction: $$ \partial_tu=\partial_{xx}(u^m) + |x|^{\sigma}u^p, $$ in the range of exponents $10$.
Iagar, Razvan Gabriel, Sánchez, Ariel
core   +1 more source

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