Results 21 to 30 of about 11,512,228 (286)
Blow-up of viscous heat-conducting compressible flows [PDF]
, 2006 We show the blow-up of strong solution of viscous heat-conducting flow when the initial density is compactly supported. This is an extension of Z. Xin's result[5] to the case of positive heat conduction coefficient but we do not need any information for ...
Jin, Bum Ja +4 more
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, 2015 In this paper, we deal with existence, uniqueness and exact rate of boundary behavior of blow-up solutions for a class of logistic type quasilinear problem in a smooth bounded domain involving the $p$-Laplacian operator, where the nonlinearity can have a singular behavior.
Alves, Claudianor O. +2 more
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Boundary blow-up solutions with a spike layer
Journal of Differential Equations, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Du, Yihong, Yan, Shusen
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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 +3 more
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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. +2 more
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Applied Mathematics in Science and EngineeringIn 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 +4 more
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Blow up of the Solutions of Nonlinear Wave Equation [PDF]
Boundary Value Problems, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang Cao, Yuanyuan Nie
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