Results 21 to 30 of about 13,013,114 (294)
A complete classification of simultaneous blow-up rates
Applied Mathematics Letters, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cristina Brändle +2 more
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The Blow-Up Rate for a Semilinear Parabolic System
Journal of Mathematical Analysis and Applications, 1999 This paper considers the blow-up of solutions of the semilinear parabolic system \[ {\partial u_i\over\partial t}=\Delta u_i+ u^{p_i}_{i+1},\quad i=1,2,\dots, k,\quad u_{k+1}: =u_1,\quad x\in\mathbb{R}^N,\;0{1\over 2}N\), then any solution which blows up in time \(T\) satisfies \(u_i(x,t)\leq C(T-t)^{\alpha_i}\), \(i=1,2, \dots,k\), \((x,t)\in\mathbb{R}
Fila, Marek, Quittner, Pavol
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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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The Blow-Up Rate for Strongly Perturbed Semilinear Wave Equations [PDF]
Journal of Dynamics and Differential Equations, 2014 17 pages.
Hamza, M. A., Saidi, O.
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Lower Bound on the Blow-up Rate of the Axisymmetric Navier–Stokes Equations [PDF]
International Mathematics Research Notices, 2008 Consider axisymmetric strong solutions of the incompressible Navier-Stokes equations in $\R^3$ with non-trivial swirl. Such solutions are not known to be globally defined, but it is shown in \cite{MR673830} that they could only blow up on the axis of symmetry. Let $z$ denote the axis of symmetry and $r$ measure the distance to the z-axis.
Chen, C.-C. +3 more
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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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Electronic Journal of Differential Equations, 2022 In this article, we study the initial-boundary value problem for a p-Laplacian parabolic equation with logarithmic nonlinearity on compact metric graphs.
Ru Wang, Xiaojun Chang
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Nonlinear Analysis, 2016 This paper is concerned with a nonlocal reaction-diffusion equation with the nonlocal source and interior absorption with Dirichlet conditions or Neumann conditions.
Jiashan Zheng
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, 2020 This paper deals with the blow-up properties of positive solutions to a parabolic system of two heat equations, defined on a ball in associated with coupled Neumann boundary conditions of exponential type.
Maan A Rasheed (16279517) +1 more
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Blow-Up Phenomena for Nonlinear Reaction-Diffusion Equations under Nonlinear Boundary Conditions
Journal of Function Spaces, 2016 This paper deals with blow-up and global solutions of the following nonlinear reaction-diffusion equations under nonlinear boundary conditions: g(u)t=∇·au∇u+fu in Ω×0,T, ∂u/∂n=bx,u,t on ∂Ω×(0,T), u(x,0)=u0(x)>0, in Ω¯, where Ω⊂RN (N≥2) is a ...
Juntang Ding
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