Results 31 to 40 of about 11,046,071 (291)

The Blow-Up of the Local Energy Solution to the Wave Equation with a Nontrivial Boundary Condition

Mathematics
In 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
doaj   +1 more source

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
doaj   +1 more source

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
openaire   +2 more sources

Global and blow-up solutions for a nonlinear reaction diffusion equation with Robin boundary conditions

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
doaj   +1 more source

Spatial and single‐nuclei transcriptomics reveals idiosyncratic and generic patterns in papillary and anaplastic thyroid cancers

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, Joel Rodrigues Vitória, Manuel Saiselet, Ligia Craciun, Denis Larsimont, Anne Lefort, Frédérick Libert, Carine Maenhaut, Sabine Costagliola, Maxime Tarabichi, Mirian Romitti, Vincent Detours   +11 more
wiley   +1 more source

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
openaire   +2 more sources

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, Tzanetis, DE, D.E. Tzanetis, Kavallaris, NI, Kavallaris, Nikos I.,, Tzanetis, D.E.,   +5 more
core   +1 more source

Machine Learning‐Supported Analysis for Predicting and Visualizing Nonlinear Relationships Between Material Properties in Electroplated Chromium Layers

Advanced Engineering Materials, EarlyView.
This study applies machine learning regression to predict chromium layer thickness in decorative trivalent chromium electroplating, using 441 experiments from laboratory‐scale (1L) and pilot‐scale (14L) setups. Tree‐based models, particularly CatBoost, outperformed linear regression by capturing nonlinear parameter interactions (R2$R^2$ up to 0.77 ...
Christoph Baumer, Christopher Mai, Luca Eisentraut, Andreas Bund, Ricardo Buettner   +4 more
wiley   +1 more source

Blow-up phenomena and lifespan for a quasi-linear pseudo-parabolic equation at arbitrary initial energy level

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
doaj   +1 more source

A singular non-Newton filtration equation with logarithmic nonlinearity: global existence and blow-up

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
doaj   +1 more source