Results 21 to 30 of about 538,398 (307)

Uniform Blow-Up Rates and Asymptotic Estimates of Solutions for Diffusion Systems with Nonlocal Sources

Differential Equations and Nonlinear Mechanics, 2007
This paper investigates the local existence of the nonnegative solution and the finite time blow-up of solutions and boundary layer profiles of diffusion equations with nonlocal reaction sources; we also study the global existence and that the rate of ...
Zhoujin Cui, Zuodong Yang
doaj   +1 more source

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.
openaire   +3 more sources

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
doaj   +1 more source

Blow-Up Solutions and Global Existence for Quasilinear Parabolic Problems with Robin Boundary Conditions

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
doaj   +1 more source

Numerical study on the blow-up rate to a quasilinear parabolic equation [PDF]

, 2017
summary:In this paper, we consider the blow-up solutions for a quasilinear parabolic partial differential equation $u_t = u^2(u_{xx}+u)$. We numerically investigate the blow-up rates of these solutions by using a numerical method which is recently ...
Ishiwata, Tetsuya, Ushijima, Takeo, Anada, Koichi   +2 more
core   +1 more source

Well-Posedness, Blow-Up Phenomena, and Asymptotic Profile for a Weakly Dissipative Modified Two-Component Camassa-Holm Equation

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
doaj   +1 more source

On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm System

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
doaj   +1 more source

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., Strain, R. M., Yau, Horng-Tzer, Tsai, T.-P.   +3 more
openaire   +4 more sources

Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations

, 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.
core   +1 more source

Critical blow-up exponents for a nonlocal reaction-diffusion equation with nonlocal source and interior absorption

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
doaj   +1 more source