Results 11 to 20 of about 10,897,203 (248)
Blow up of solutions for a semilinear hyperbolic equation [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper we consider a semilinear hyperbolic equation with source and damping terms. We will prove a blow up result of solutions for positive initial energy.
Yamna Boukhatem +1 more
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Blow up for the critical gKdV equation III: exotic regimes
, 2015 International audienceWe consider the blow up problem in the energy space for the critical (gKdV) equation in the continuation of part I and part II. We know from part I that the unique and stable blow up rate for solutions close to the solitons with ...
Merle, Frank +2 more
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Blow-Up Solutions and Global Existence for Quasilinear Parabolic Problems with Robin Boundary Conditions [PDF]
Abstract and Applied Analysis, 2014 We study the blow-up and global solutions for a class of quasilinear parabolic problems with Robin boundary conditions. By constructing auxiliary functions and using maximum principles, the sufficient conditions for the existence of blow-up solution, an ...
Juntang Ding
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Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations [PDF]
, 2013 We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time.
Brunner, Hermann, Yang, Z.W.
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Existence of blow-up solutions for a degenerate parabolic-elliptic Keller–Segel system with logistic source [PDF]
, 2023 summary:This paper deals with existence of finite-time blow-up solutions to a degenerate parabolic–elliptic Keller–Segel system with logistic source.
Tanaka, Yuya
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Journal of Applied Mathematics, 2012 We study the Cauchy problem of a weakly dissipative modified two-component periodic Camassa-Holm equation. We first establish the local well-posedness result.
Yongsheng Mi, Chunlai Mu, Weian Tao
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Global and blow up solutions to cross diffusion systems
Advances in Nonlinear Analysis, 2015 Necessary and sufficient conditions for global existence of classical solutions to a class of cross diffusion systems on n-dimensional domains are given. Examples of blow up solutions are also presented.
Ahmad Shair, Le Dung
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Mathematics, 2023 This paper deals with a nonlinear nonlocal parabolic system with nonlinear heat-loss boundary conditions, which arise in the thermal explosion model. Firstly, we prove a comparison principle for some kinds of parabolic systems under nonlinear boundary ...
Wenyuan Ma, Baoqiang Yan
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Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems [PDF]
, 2011 summary:In this paper we establish new nonlinear Liouville theorems for parabolic problems on half spaces. Based on the Liouville theorems, we derive estimates for the blow-up of positive solutions of indefinite parabolic problems and investigate the ...
Földes, Juraj, Juraj Földes Nashville
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Advances in Mathematical Physics, 2022 In this paper, a family of the weakly dissipative periodic Camassa-Holm type equation cubic and quartic nonlinearities is considered. The precise blow-up scenarios of strong solutions and several conditions on the initial data to guarantee blow-up of the
Ying Zhang, Congming Peng
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