搜索结果: 1-13 共查到“偏微分方程 blow-up”相关记录13条 . 查询时间(0.109 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：No blow-up by nonlinear It? noise for the Euler equations
非线性 爆炸 欧拉方程 噪声
2023/5/17
We consider the incompressible Euler equations in two or three dimensions and we show that the addition of a suitable multiplicative It? noise with superlinear growth prevents a smooth solution from b...
Global existence and blow-up phenomena for a periodic 2-component Camassa-Holm equation
A periodic 2-component Camassa-Holm equation global existence blow-up blow-up rate
2011/10/17
We first establish local well-posedness for a periodic 2-component Camassa-Holm equation. We then present two global existence results for strong solutions to the equation. We finally obtain several b...
A Blow-up Criterion for Two Dimensional Compressible Viscous Heat-Conductive Flows
Blow-up Criterion Two Dimensional Compressible Viscous Heat-Conductive Flows Analysis of PDEs
2011/9/19
Abstract: We establish a blow-up criterion in terms of the upper bound of the density and temperature for the strong solution to 2D compressible viscous heat-conductive flows. The initial vacuum is al...
Boundary Characteristic Point Regularity for Navier-Stokes Equations: Blow-up Scaling and Petrovskii-type Criterion (a Formal Approach)
Navier–Stokes equations in R3 backward paraboloid characteristic vertex boundary regularity blow-up scaling boundary layer
2011/9/6
Abstract: It is shown that Wiener's regularity of the vertex of a backward paraboloid for 3D Navier-Stokes equations with zero Dirichlet conditions on the paraboloid boundary is given by Petrovskii's ...
The blow-up theorem of a discrete semilinear wave equation
The blow-up theorem semilinear wave equation Analysis of PDEs
2011/9/1
Abstract: In this paper, the discretization of a nonlinear wave equation whose nonlinear term is a power function is introduced. The difference equation derived by discretizing the nonlinear wave equa...
Local Bifurcation-Branching Analysis of Global and "Blow-up" Patterns for a Fourth-Order Thin Film Equation
Thin film equation local bifurcation analysis source-type and blow-up similarity solutions
2010/12/14
Countable families of global-in-time and blow-up similarity sign-changing patterns of the Cauchy problem for the fourth-order thin film equation (TFE–4) ut = −∇ · (|u|n∇u) in RN × R...
On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations
The Camassa-Holmequation The Degasperis-Procesi equa-tion The Hunter-Saxton equation
2010/12/6
Considered herein are the generalized Camassa-Holm and Degasperis-Procesi equations in the spatially periodic setting. The pre-cise blow-up scenarios of strong solutions are derived for both of equa-t...
Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations
Nonlocal Cauchy problem Boussinesq equation Global existence Blow-up
2010/12/1
We study the initial-value problem for a general class of nonlinear nonlocal coupled wave equations. The problem involves convolution operators with kernel functions whose Fourier transforms are nonne...
具有非线性记忆的抛物型方程解的Blow up估计
非线性记忆 抛物型方程 Blow up估计 极值原理
2009/10/28
讨论了 (f)单调增加的条件下，具有非线性记忆的抛物型方程解的Blow up，并给出了解的Blow up估计。
奇异半线性发展方程组解的Blow-up问题
奇异 半线性 Blow-up问题
2009/9/27
讨论奇异半线性发展方程组解的Blow-up问题时,通常先对解进行估计,然后讨论在一定条件下解的Blow-up.论文继续用这种方法讨论奇异半线性发展方程组解的Blow-up问题,得到一定条件下解会Blow-up.
非线性反应扩散方程解的Blow-up问题
非线性反应扩散方程 初边值问题 光滑解 Blow-up问题
2009/8/25
研究了非线性反应扩散方程ut =Δu+f(u)初边值问题的解的Blow-up问题,证明了其光滑解只能在一个有界区间内存在。利用引入的“高斯函数”得到了一些新的非整体存在的充分条件,这些条件对Lp解也普遍适用。此外,对有关结果进行了相应的简化与改进。
Profile of Blow-up Solution to Hyperbolic System with Nonlocal Term
hyperbolic system nonlocal term blow-up profile
2007/12/12
This paper is concerned with a nonlocal hyperbolic system as follows: $$\align & u_{tt}=\triangle u+\bigg( \int_\Omega vdx\bigg)^{p} \quad \textrm{for}\,\,x\in \mathbb{R}^N, \,\, t>0, \\ & v_{tt}=\tri...
半无界空间上的拟线性抛物型方程解的Blow-up现象
2007/12/11
本文研究了拟线性抛物型方程的初边值问题在无界区域D上的全局解存在性问题和局部解的Blow-up问题．利用上、下解方法，并借助Green函数，给出了问题（I）全局解的存在性条件，也给出了局部解发生Blow－up现象的条件。