Results 11 to 20 of about 648,374 (310)

Contact blow-up

Expositiones Mathematicae, 2015
23 pages, 2 figures.
Roger Casals, Dishant M. Pancholi, Francisco Presas   +2 more
openaire   +4 more sources

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

, 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, C.E. Kenig, D. Foschi, D.B. Dix, F. Merle, F. Merle, F. Merle, F. Merle, F. Merle, H. Koch, H. Koch, J. Bourgain, M. Keel, M.I. Weinstein, M.I. Weinstein, M.I. Weinstein, P. Raphaël, P. Raphaël, P. Raphaël, R. Côte, R. Côte, T. Kato, Y. Martel, Y. Martel, Y. Martel, Y. Martel, Y. Martel, Y. Martel, Y. Martel, Yang Lan   +29 more
core   +2 more sources

Field patterns without blow up

New 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

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

Electronic 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

Heterotic Mini-landscape in blow-up [PDF]

, 2013
Localization properties of fields in compact extra dimensions are crucial ingredients for string model building, particularly in the framework of orbifold compactifications.
Bizet, Nana Geraldine Cabo, Nilles, Hans Peter   +1 more
core   +3 more sources

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

Advances 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, Panumart Sawangtong, Sanoe Koonprasert, Wannika Sawangtong   +3 more
doaj   +1 more source

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

Boundary 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

, 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

To Blow-Up or Not to Blow-Up for a Granular Kinetic Equation

Physica D: Nonlinear Phenomena
A simplified kinetic description of rapid granular media leads to a nonlocal Vlasov-type equation with a convolution integral operator that is of the same form as the continuity equations for aggregation-diffusion macroscopic dynamics. While the singular behavior of these nonlinear continuity equations is well studied in the literature, the extension ...
Carrillo, José A., Shu, Ruiwen, Wang, Li, Xu, Wuzhe   +3 more
openaire   +3 more sources

Blow-up phenomena for a class of metaparabolic equations with time dependent coeffcient

AIMS Mathematics, 2017
This paper deals with the initial boundary value problem for a metaparabolic equations withtime dependent coeffcient. Under suitable conditions on initial data, a blow-up criterion which ensuresthat u cannot exist all time is given, and an upper bound ...
Huafei Di, Yadong Shang
doaj   +1 more source