Results 1 to 10 of about 538,398 (307)
Blow-up rate for a nonlinear diffusion equation
Applied Mathematics Letters, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sining Zheng, Wei Wang 0048
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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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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 i u t = - Δ
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 +
Ferreira, R., De Pablo, A.
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Stability of Blow-Up Profile and Lower Bounds for Blow-Up Rate for the Critical Generalized KdV Equation [PDF]
The Annals of Mathematics, 2002 The generalized Korteweg-de Vries equations are a class of Hamiltonian systems in infinite dimension derived from the KdV equation where the quadratic term is replaced by a higher order power term. These equations have two conservation laws in the energy space H^1(L^2 norm and energy).
Martel, Yvan, Merle, Frank
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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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On blow‐up rate for sign‐changing solutions in a convex domain [PDF]
Mathematical Methods in the Applied Sciences, 2004 AbstractThis paper studies a growth rate of a solution blowing up at time T of the semilinear heat equation ut − Δu − ∣u∣p−1 u=0 in a convex domain D in ℝn with zero‐boundary condition. For a subcritical p ∈ (1,(n+2)/(n−2)) a growth rate estimate ∣u(x,t)∣⩽C(T−t)−1/(p−1), x ∈ D, t ∈ (0,T) is established with C independent of t provided that D is ...
Giga, Y., Matsui, S., Sasayama, S.
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A complete classification of simultaneous blow-up rates
Applied Mathematics Letters, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cristina Brändle +2 more
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