Results 31 to 40 of about 255,795 (302)
Blow up of the Solutions of Nonlinear Wave Equation [PDF]
Boundary Value Problems, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Boundary Value Problems, 2020 The aim of this paper is to show some applications of Sobolev inequalities in partial differential equations. With the aid of some well-known inequalities, we derive the existence of global solution for the quasilinear parabolic equations.
Yuanfei Li, Lianhong Guo, Peng Zeng
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Coupled Volterra Equations with Blow-Up Solutions
Journal of Integral Equations and Applications, 1995 The authors examine a pair of coupled nonlinear Volterra equations for possible blow-up solutions. The system is motivated by certain models of explosion phenomena in a diffusive medium. They derive criteria for a blow-up to occur as well as bounds on the time of its occurrence for a general class of nonlinearities and obtain specific results for two ...
Olmstead, W.E., Roberts, C.A., Deng, K.
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On the blow-up of a non-local parabolic problem
, 2006 We investigate the conditions under which the solution of the initial-boundary value problem of the non-local equation ut=Δu+λf(u)/(∫Ωf(u)dx)p, where Ω is a bounded domain of RN and f(u) is a positive, increasing, convex function, performs blow-up.
N.I. Kavallaris +5 more
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Boundary Value Problems, 2020 In the paper, we investigate global and blow-up solutions for a class of nonlinear reaction diffusion equations with Robin boundary conditions. By using auxiliary functions and a first-order differential inequality technique, we establish conditions on ...
Huimin Tian, Lingling Zhang
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On blow up of solutions of nonlinear evolution equations [PDF]
Proceedings of the American Mathematical Society, 1988 We give a complete description of domains of blow up for general second order inequalities, which allows us to obtain some new results on nonexistence of global solutions for nonlinear hyperbolic equations, both in
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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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Near‐Field Electrospinning Micro‐Printhead Achieves Precise Control of Nanofiber Deposition
Advanced Engineering Materials, EarlyView.A micro‐printhead for near‐field electrospinning enables reproducible deposition of polymer nanofibers with diameters below 50 nm. Systematic parameter studies uncover the mechanisms linking operating conditions to fiber morphology, paving the way for precise and low‐cost nanoscale 3D manufacturing.As a high‐resolution, cost‐effective, and rapid ...
Han Xu, Dario Mager, Jan G. Korvink
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Comptes Rendus. Mécanique, 2022 In this paper, we study the initial-boundary value problem of the singular non-Newton filtration equation with logarithmic nonlinearity. By using the concavity method, we obtain the existence of finite time blow-up solutions at initial energy $J(u_0 ...
Deng, Qigang, Zeng, Fugeng, Jiang, Min
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Blow up of incompressible Euler solutions [PDF]
BIT Numerical Mathematics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hoffman, Johan, Johnson, Claes
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