Results 21 to 30 of about 12,449,820 (291)
Blow-Up Rate Estimates for a System of Reaction-Diffusion Equations with Gradient Terms
International Journal of Mathematics and Mathematical Sciences, 2019 This paper is concerned with the blow-up properties of Cauchy and Dirichlet problems of a coupled system of Reaction-Diffusion equations with gradient terms. The main goal is to study the influence of the gradient terms on the blow-up profile.
Maan A. Rasheed +2 more
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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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Serre-Green-Naghdi Dynamics under the Action of the Jeffreys’ Wind-Wave Interaction
Fluids, 2022 We derive the anti dissipative Serre-Green-Naghdi (SGN) equations in the context of nonlinear dynamics of surface water waves under wind forcing, in finite depth.
Miguel Alberto Manna, Anouchah Latifi
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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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Journal of Applied Mathematics, 2013 We study the Cauchy problem of a weakly dissipative modified two-component Camassa-Holm equation. We firstly establish the local well-posedness result. Then we present a precise blow-up scenario.
Yongsheng Mi, Chunlai Mu
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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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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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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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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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Boundary Value Problems, 2018 This article is concerned with the decay and blow-up properties of a nonlinear viscoelastic wave equation with strong damping. We first show a local existence theorem.
Qian Li, Luofei He
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