Results 11 to 20 of about 538,398 (307)

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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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, Hassan Abd Salman Al-Dujaly, Talat Jassim Aldhlki   +2 more
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Blow-Up Rate Estimates for Semilinear Parabolic Systems

Journal of Differential Equations, 2001
Let \(\Omega\) be a smoothly bounded domain in \(\mathbb R^n\), \(p,q>0\), \(pq>1\), \(\alpha:=(p+1)/(pq-1)\), \(\beta:=(q+1)/(pq-1)\). Consider the parabolic system \(u_t=\Delta u+v^p\), \(v_t=\Delta v+u^q\), \(x\in\Omega\), \(t>0\), complemented by the homogeneous Dirichlet boundary conditions and the initial conditions \(u(x,0)=u_0(x)\), \(v(x,0 ...
Wang, Mingxin
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Existence, Blow-Up, and Blow-Up Rate of Weak Solution to Fourth-Order Non-Newtonian Polytropic Variation-Inequality Arising from Consumption-Investment Models

Journal of Mathematics
This article obtains the conditions for the existence and nonexistence of weak solutions for a variation-inequality problem. This variational inequality is constructed by a fourth-order non-Newtonian polytropic operator which is receiving much attention ...
Jia Li, Xuelian Bai
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Blow-up rate for parabolic problems with nonlocal source and boundary flux

Electronic Journal of Differential Equations, 2003
We determine the blow-up rate and the blow-up set for a class of one-dimensional nonlocal parabolic problems with opposite source term and boundary flux.
Arnaud Rougirel
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Blow-up rate for a semilinear reaction diffusion system

Computers & Mathematics with Applications, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mingxin Wang, Wang, Mingxin
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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, COSSON, Benoit, Régnier, G., Gilles Régnier, Luc Chevalier, Cosson, B., Benoit Cosson, CHEVALIER, Luc   +7 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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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, Rajendran Balamurugan   +1 more
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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
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