Results 21 to 30 of about 11,046,071 (291)

Boundary blow-up solutions with a spike layer

Journal of Differential Equations, 2004
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Du, Yihong, Yan, Shusen
openaire   +2 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

On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion

Journal of Computational and Applied Mathematics, 2003
The authors study an anisotropic motion of closed, convex polygonal curves by a power of crystalline curvature in the plane. They mainly discuss the degenerate pinching singularity and show the exact blow-up rate for a fast blow-up solution which arises in an equivalent blow-up problem.
Ishiwata, Tetsuya, Yazaki, Shigetoshi
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Dispersive blow-up for solutions of the Zakharov-Kuznetsov equation [PDF]

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2021
The main purpose here is the study of dispersive blow-up for solutions of the Zakharov-Kuznetsov equation. Dispersive blow-up refers to point singularities due to the focusing of short or long waves. We will construct initial data such that solutions of the linear problem present this kind of singularities. Then we show that the corresponding solutions
Linares, F., Pastor, A., Drumond Silva, J.   +2 more
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Blow-up of dyadic MHD models with forward energy cascade

, 2022
A particular type of dyadic model for the magnetohydrodynamics (MHD) with dominating forward energy cascade is studied. The model includes intermittency dimension δ in the nonlinear scales.
Mimi Dai (10635944)
core   +1 more source

Theoretical and numerical studies of the blow-up of a degenerate nonlinear reaction–diffusion problem with source terms

Applied Mathematics in Science and Engineering
In this paper, we focus on the phenomenon of blow-up of solutions for semilinear and degenerate (time-derivative) parabolic equation systems with additional source terms.
Bariza Sidhoum, Nadjat Doudi, Lamine Nisse, Asma Alharbi, Salah Boulaaras   +4 more
doaj   +1 more source

Blow up of the Solutions of Nonlinear Wave Equation [PDF]

Boundary Value Problems, 2007
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The applications of Sobolev inequalities in proving the existence of solution of the quasilinear parabolic equation

Boundary Value Problems, 2020
The aim of this paper is to show some applications of Sobolev inequalities in partial differential equations. With the aid of some well-known inequalities, we derive the existence of global solution for the quasilinear parabolic equations.
Yuanfei Li, Lianhong Guo, Peng Zeng
doaj   +1 more source

Coupled Volterra Equations with Blow-Up Solutions

Journal of Integral Equations and Applications, 1995
The authors examine a pair of coupled nonlinear Volterra equations for possible blow-up solutions. The system is motivated by certain models of explosion phenomena in a diffusive medium. They derive criteria for a blow-up to occur as well as bounds on the time of its occurrence for a general class of nonlinearities and obtain specific results for two ...
Olmstead, W.E., Roberts, C.A., Deng, K.
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Blow-up of solutions of the nonlinear Sobolev equation

Applied Mathematics Letters, 2014
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Yang Cao, Yuanyuan Nie
openaire   +2 more sources