Results 1 to 10 of about 13,013,114 (294)
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
doaj +2 more sources
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
doaj +2 more sources
Electronic Journal of Differential Equations, 2022 This article concerns a Kirchhoff-type parabolic problem on a geodesic ball of hyperbolic space. Firstly, we obtain conditions for finite time blow-up, and for the existence of global solutions for \(J(u_0)\leq d\), where \(J(u_0)\) denotes the initial ...
Hang Ding, Jun Zhou
doaj +1 more source
On Blow-up Solutions of A Parabolic System Coupled in Both Equations and Boundary Conditions
مجلة بغداد للعلوم, 2021 This paper is concerned with the blow-up solutions of a system of two reaction-diffusion equations coupled in both equations and boundary conditions. In order to understand how the reaction terms and the boundary terms affect the blow-up properties, the ...
Maan A. Rasheed
doaj +1 more source
Boundary Value Problems, 2018 In this paper, we continue to study the initial boundary value problem of the quasi-linear pseudo-parabolic equation ut−△ut−△u−div(|∇u|2q∇u)=up $$ u_{t}-\triangle u_{t}-\triangle u-\operatorname{div}\bigl(| \nabla u|^{2q}\nabla u\bigr)=u^{p} $$ which was
Gongwei Liu, Ruimin Zhao
doaj +1 more source
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
Blow-up results of the positive solution for a class of degenerate parabolic equations
Open Mathematics, 2021 This paper is devoted to discussing the blow-up problem of the positive solution of the following degenerate parabolic equations: (r(u))t=div(∣∇u∣p∇u)+f(x,t,u,∣∇u∣2),(x,t)∈D×(0,T∗),∂u∂ν+σu=0,(x,t)∈∂D×(0,T∗),u(x,0)=u0(x),x∈D¯.\left\{\begin{array}{ll}{(r ...
Dong Chenyu, Ding Juntang
doaj +1 more source
White-eyed blowout fracture: A 10 days delayed surgical intervention and outcomes: A case report [PDF]
Acta Stomatologica Naissi, 2021 The basis of the problem: Craniomaxillofacial trauma in pediatric group is less common with an incidence rate of 15% and the most commonly involved site is the fracture of orbital floor.
Kattur Premkumar Karthik +1 more
doaj +1 more source
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
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