On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion [PDF]
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
openaire +3 more sources
Blow up for the critical gKdV equation III: exotic regimes
, 2015 International audienceWe consider the blow up problem in the energy space for the critical (gKdV) equation in the continuation of part I and part II. We know from part I that the unique and stable blow up rate for solutions close to the solitons with ...
Merle, Frank +2 more
core +10 more sources
Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations [PDF]
, 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 +4 more sources
Blow-up rate for a semilinear reaction diffusion system [PDF]
Computers & Mathematics with Applications, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mingxin Wang, Wang, Mingxin
openaire +2 more sources
Blow up in a periodic semilinear heat equation [PDF]
, 2023 Blow up in a one-dimensional semilinear heat equation is studied using a combination of numerical and analytical tools. The focus is on problems periodic in the space variable and starting out from a nearly flat, positive initial condition. Novel results
J.R. King +5 more
core +1 more source
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
openaire +2 more sources
Simulation of the stretch blow moulding process: from the modelling of the microstructure evolution to the end-use elastic properties of polyethylene terephthalate bottles [PDF]
, 2010 The original publication is available at www.springerlink.comThe whole stretch blow-moulding process of PET bottles is simulated at the usual process temperature in order to predict the elastic end-use properties of the bottles.
REGNIER, Gilles +7 more
core +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
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