Results 1 to 10 of about 396,174 (280)

Concentration of blow-up solutions for the Gross-Pitaveskii equation

Advances in Nonlinear Analysis
We consider the blow-up solutions for the Gross-Pitaveskii equation modeling the attractive Boes-Einstein condensate. First, a new variational characteristic is established by computing the best constant of a generalized Gagliardo-Nirenberg inequality ...
Zhu Shihui
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Blow-up rates for semi-linear reaction–diffusion systems

Journal of Differential Equations, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Blow-up and global existence for nonlinear reaction-diffusion equations under Neumann boundary conditions

Journal of Inequalities and Applications, 2016
In this paper, we study the blow-up and global solutions of the following nonlinear reaction-diffusion equations under Neumann boundary conditions: { ( g ( u ) ) t = ∇ ⋅ ( a ( u ) b ( x ) ∇ u ) + f ( x , u ) in  D × ( 0 , T ) , ∂ u ∂ n = 0 on  ∂ D × ( 0 ,
Juntang Ding
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Global existence and exponential decay of strong solutions for the three-dimensional Boussinesq equations

Journal of Inequalities and Applications, 2020
In this paper, we consider the global existence of strong solutions to the three-dimensional Boussinesq equations on the smooth bounded domain Ω. Based on the blow-up criterion and uniform estimates, we prove that the strong solution exists globally in ...
Zhaoyang Shang, Fuquan Tang
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Sharp Universal Rate for Stable Blow-Up of Corotational Wave Maps

Communications in Mathematical Physics, 2023
66 ...
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Blow-up rate for parabolic problems with nonlocal source and boundary flux

Electronic Journal of Differential Equations, 2003
We determine the blow-up rate and the blow-up set for a class of one-dimensional nonlocal parabolic problems with opposite source term and boundary flux.
Arnaud Rougirel
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Blow-up phenomena for p-Laplacian parabolic problems with Neumann boundary conditions

Boundary Value Problems, 2017
In this paper, we deal with the blow-up and global solutions of the following p-Laplacian parabolic problems with Neumann boundary conditions: { ( g ( u ) ) t = ∇ ⋅ ( | ∇ u | p − 2 ∇ u ) + k ( t ) f ( u ) in  Ω × ( 0 , T ) , ∂ u ∂ n = 0 on  ∂ Ω × ( 0 , T
Juntang Ding
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On decay and blow-up of solutions for a nonlinear Petrovsky system with conical degeneration

Boundary Value Problems, 2020
This paper deals with a class of Petrovsky system with nonlinear damping w t t + Δ B 2 w − k 2 Δ B w t + a w t | w t | m − 2 = b w | w | p − 2 $$\begin{aligned} w_{tt}+\Delta _{\mathbb{B}}^{2}w-k_{2} \Delta _{\mathbb{B}}w_{t}+aw_{t} \vert w_{t} \vert ^{m-
Jiali Yu, Yadong Shang, Huafei Di
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Initial blow-up rates and universal bounds for nonlinear heat equations

Journal of Differential Equations, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Quittner, Pavol, Souplet, Philippe, Winkler, Michael   +2 more
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Growth rates for blow-up solutions of nonlinear Volterra equations [PDF]

Quarterly of Applied Mathematics, 1996
An investigation is made of the blow-up growth property of the solution to certain nonlinear Volterra integral equations which model explosive behavior in a diffusive medium. The basic results provide the asymptotic form of the blow-up solution for a large class of kernels as well as various nonlinearities based on examples from solid combustion and ...
Roberts, Catherine A., Olmstead, W. E.
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