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]
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]
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
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]
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
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]
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
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
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
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
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

