Blow-Up of Fronts in Burgers Equation with Nonlinear Amplification: Asymptotics and Numerical Diagnostics

机译：具有非线性放大的Burgers方程中的前沿爆破：渐近性和数值诊断

获取原文

获取原文并翻译 | 示例

页面导航

摘要
著录项
相似文献
相关主题

摘要

This work develops a theory of asymptotic-numerical investigations of moving fronts in reaction-diffusion-advection models. We present the result of consideration of singularly perturbed parabolic Burgers-type equations with nonlinear forcing. Conditions of solution blowup are formulated. Numerical algorithm which allows to recognise and describe the solutions blow-up is presented. In particular, in order to demonstrate the proposed method, we apply our approach to the problem with cubic forcing.

机译：这项工作发展了一种在反应扩散对流模型中对移动前沿进行渐近数值研究的理论。我们提出考虑非线性扰动的奇摄动抛物型Burgers型方程的结果。确定了溶液爆炸的条件。提出了一种数值算法，该算法可以识别和描述爆炸问题。特别是，为了证明所提出的方法，我们将我们的方法应用于三次强迫问题。

著录项

来源
《Finite difference methods: theory and applications》|2018年|72-79|共8页
会议地点 Lozenetz(BG)
作者
Dmitry Lukyanenko; Nikolay Nefedov;
展开▼
作者单位

Department of Mathematics, Faculty of Physics, Lomonosov Moscow State University, Moscow 119991, Russia;

Department of Mathematics, Faculty of Physics, Lomonosov Moscow State University, Moscow 119991, Russia;

展开▼
会议组织
原文格式 PDF
正文语种 eng
中图分类
关键词
Blow-up phenomena; Burgers equation; Singularly perturbed; Interior layer; Richardson extrapolation;

机译：爆炸现象； Burgers方程；奇异的内层；理查森推断;

相似文献

外文文献
中文文献
专利

1. On Front Motion in a Burgers-Type Equation with Quadratic and Modular Nonlinearity and Nonlinear Amplification [J] . Nefedov N. N., Rudenko O. V. Doklady. Mathematics . 2018,第1期

机译：具有二次和模块化非线性和非线性放大的汉堡型方程中的前运动和非线性放大
2. Asymptotics and Blow-up for Mass Critical Nonlinear Dispersive Equations [J] . Frank MERLE 数学年刊B辑（英文版） . 2017,第002期

机译：质量临界非线性色散方程的渐近性和爆破性
3. Asymptotic behavior and blow-up of solutions for infinitely degenerate semilinear parabolic equations with logarithmic nonlinearity [J] . Hua Chen, Huiyang Xu Journal of Mathematical Analysis and Applications . 2019,第2期

机译：具有对数非线性无限退化的半线性抛物型方程的渐近行为与爆破
4. Blow-Up of Fronts in Burgers Equation with Nonlinear Amplification: Asymptotics and Numerical Diagnostics [C] . Dmitry Lukyanenko, Nikolay Nefedov International Conference on Finite Difference Methods . 2019

机译：具有非线性扩增的汉堡方程中前方的爆炸：渐近和数值诊断
5. Regularity and asymptotics for strongly nonlinear parabolic partial differential equations. [D] . Trokhimtchouk, Maxim. 2009

机译：强非线性抛物型偏微分方程的正则性和渐近性。
6. Blow-up of solutions of nonlinear wave equations in three space dimensions [O] . Fritz John 1979

机译：三维空间中非线性波动方程解的爆破
7. Blow-up for nonlinear wave equations with multiple speeds (Evolution Equations and Asymptotic Analysis of Solutions) [O] . Kubo Hideo, Ohta Masahito 2004

机译：多速度非线性波动方程的爆破（演化方程和解的渐近分析）

Blow-Up of Fronts in Burgers Equation with Nonlinear Amplification: Asymptotics and Numerical Diagnostics

摘要

著录项

相似文献

相关主题

期刊订阅