Results 31 to 40 of about 11,512,228 (286)
Blow up in a periodic semilinear heat equation
, 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
JR King (14801902) +2 more
core +4 more sources
Electronic Journal of Differential Equations, 2021 In this article, we study the nonlinear equation $$ \big(r^{n-1}|u'(r)|^{p-2}u'(r)\big)'+r^{n-1}w(r)|u(r)|^{q-2}u(r)=0, $$ where \(q>p>1\) .For positive potentials (\(w>0\)), we investigate the existence of sign-changing solutions with prescribed number
Wei-Chuan Wang
doaj +3 more sources
Blow-Up Of Solutions For The Damped Boussinesq Equation
Zeitschrift für Naturforschung A, 2005 We consider the blow-up of solutions as a function of time to the initial boundary value problem for the damped Boussinesq equation.
Polat, N, Kaya, D, Tutalar, HI
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The Blow-Up of the Local Energy Solution to the Wave Equation with a Nontrivial Boundary Condition
MathematicsIn this study, we examine the wave equation with a nontrivial boundary condition. The main target of this study is to prove the local-in-time existence and the blow-up in finite time of the energy solution.
Yulong Liu
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Blow-Up Solution of Modified-Logistic-Diffusion Equation
International Journal of Differential Equations, 2019 Modified-Logistic-Diffusion Equation ut=Duxx+u|1-u| with Neumann boundary condition has a global solution, if the given initial condition ψ satisfies ψ(x)≤1, for all x∈[0,1].
P. Sitompul, Y. Soeharyadi
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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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Molecular Oncology, EarlyView.Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur +11 more
wiley +1 more source
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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Adaptive Foam 3D Printing of Ultralight and Multifunctional Materials
Advanced Engineering Materials, EarlyView.Adaptive foam 3D printing, enabled by expandable microspheres, imparts cellular structures to thermoplastic and thermosetting polymers, manufactured through a variety of processes including fused filament fabrication, direct ink writing, digital light processing, and inkjet printing.
Nariman Rajabifar, Amir Ameli
wiley +1 more source