Results 11 to 20 of about 255,795 (302)

On blow-up of solution for Euler equations [PDF]

ESAIM: Mathematical Modelling and Numerical Analysis, 2001
Summary: We present numerical evidence for the blow-up of solutions to the Euler equations. Our approximate solutions are Taylor polynomials in the time variable of an exact solution, and we believe that in terms of the exact solution, the blow-up will be rigorously proved.
Behr, Eric, Nečas, Jindřich, Wu, Hongyou   +2 more
openaire   +2 more sources

On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion

Journal of Computational and Applied Mathematics, 2003
The authors study an anisotropic motion of closed, convex polygonal curves by a power of crystalline curvature in the plane. They mainly discuss the degenerate pinching singularity and show the exact blow-up rate for a fast blow-up solution which arises in an equivalent blow-up problem.
Ishiwata, Tetsuya, Yazaki, Shigetoshi
openaire   +3 more sources

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   +2 more sources

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   +2 more sources

LOCAL SOLUTION AND BLOW-UP FOR A NONLINEAR KIRCHHOFF'S SYSTEM

Pesquimat, 2014
We study the existence and blow-up of the local solution to the mixed problem for a nonlinear Kirchhoff's system.
Teófanes Quispe Méndez
doaj   +3 more sources

Existence, Blow-Up, and Blow-Up Rate of Weak Solution to Fourth-Order Non-Newtonian Polytropic Variation-Inequality Arising from Consumption-Investment Models

Journal of Mathematics
This article obtains the conditions for the existence and nonexistence of weak solutions for a variation-inequality problem. This variational inequality is constructed by a fourth-order non-Newtonian polytropic operator which is receiving much attention ...
Jia Li, Xuelian Bai
doaj   +2 more sources

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
J.R. King, Fasondini, M., King, J.R., M. Fasondini, J.A.C. Weideman, Weideman, J.A.C.   +5 more
core   +3 more sources

Finite-time blow-up in a two-species chemotaxis-competition model with single production [PDF]

, 2023
summary:This paper is concerned with blow-up of solutions to a two-species chemotaxis-competition model with production from only one species. In previous papers there are a lot of studies on boundedness for a two-species chemotaxis-competition model ...
Tanaka, Yuya, Mizukami, Masaaki
core   +1 more source

Blow-up of dyadic MHD models with forward energy cascade

, 2022
A particular type of dyadic model for the magnetohydrodynamics (MHD) with dominating forward energy cascade is studied. The model includes intermittency dimension δ in the nonlinear scales.
Mimi Dai (10635944)
core   +1 more source

Blow-up for 3-D compressible isentropic Navier-Stokes-Poisson equations [PDF]

, 2021
summary:We study compressible isentropic Navier-Stokes-Poisson equations in ${\mathbb R}^3$. With some appropriate assumptions on the density, velocity and potential, we show that the classical solution of the Cauchy problem for compressible unipolar ...
Yang, Shanshan, Jiang, Hongbiao, Lin, Yinhe   +2 more
core   +1 more source