The Blow-up Rate of Solutions to Boundary Blow-up Problems for the Complex Monge–Ampère Operator [PDF]
manuscripta mathematica, 2006 Let \(D\subset \mathbb C^n\) be a bounded strongly pseudoconvex domain with smooth boundary. Solutions to the complex Monge-Ampère equations of type \((dd^c u)^n (z) = \exp(K u(z))\), \(K>0\), which explode at every boundary point of \(D\) generate Kähler-Einstein metrics and are therefore well studied [\textit{S.-Y. Cheng, S.-T. Yau}, Commun.
Ivarsson, Björn, Matero, Jerk
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Blow-up of solutions for weakly coupled systems of complex Ginzburg-Landau equations
Electronic Journal of Differential Equations, 2017 Blow-up phenomena of weakly coupled systems of several evolution equations, especially complex Ginzburg-Landau equations is shown by a straightforward ODE approach, not by the so-called test-function method used in [38] which gives the natural blow-up
Kazumasa Fujiwara +2 more
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Hot-Air Spinning Technology Enables the High-Efficiency Production of Nanofiber [PDF]
NanomaterialsWater is the most environmentally friendly solvent; however, conventional solution spinning using water as a solvent is challenging due to its low evaporation rate. We developed a double-pronged solution blow spinning (DP-SBS) system.
Guo-Dong Zhang +7 more
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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
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The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation [PDF]
Annals of Mathematics, 2002 We consider the critical nonlinear Schrödinger equation iu t =-Δu-|u| 4 N u with initial condition u(0,x)=u 0 in dimension N. For u 0 ∈H 1 , local existence in time of solutions on an interval [0,T) is known, and there exists finite time blow up solutions, that is u 0 such that lim t→T<+∞ |u x (t)| L 2 =+∞.
Merle, Franck, Raphaël, Pierre
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Blow-up rates for a fractional heat equation
Proceedings of the American Mathematical Society, 2021 We study the speed at which nonglobal solutions to the fractional heat equation u t + ( − Δ ) α / 2 u = u p , \begin{equation*} u_t ...
Ferreira, R., De Pablo, A.
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Stable self-similar blow-up dynamics for slightly $L^2$-supercritical generalized KdV equations [PDF]
, 2015 In this paper we consider the slightly $L^2$-supercritical gKdV equations $\partial_t u+(u_{xx}+u|u|^{p-1})_x=0$, with the nonlinearity ...
C. Sulem +29 more
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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
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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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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
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