Automodelling solutions of the Higgs-field nonlinear wave equation in the de Sitter space

A. L. Dyshko; N. B. Konyukhova; N. A. Voronov

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Automodelling solutions of the Higgs-field nonlinear wave equation in the de Sitter space

机译：De Sitter空间中希格斯场非线性波动方程的自动建模解

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The effect of the expansion of the Universe on such classical physical objects as spherical bubbles is studied. We look for automodelling solutions to scalar Higgs-field equation in the de Sitter space and compare them with the bubble type solutions in the thin-wall approximation. The automodelling bubbles could be considered as critical or singular ones because they collapse in an infinite time. Multinodal solutions as enclosed bubbles are discovered numerically.

机译：研究了宇宙膨胀对诸如球形气泡之类的经典物理物体的影响。我们在de Sitter空间中寻找标量Higgs场方程的自动建模解决方案，并将它们与薄壁近似中的气泡型解决方案进行比较。自建模气泡可以视为临界气泡或奇异气泡，因为它们会在无限时间内崩溃。通过数值发现多节点解作为封闭的气泡。

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来源
《Computer physics communications》 |2000年第2期|共6页
作者
A. L. Dyshko; N. B. Konyukhova; N. A. Voronov;
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正文语种 eng
中图分类计算机的应用;
关键词
inflationary cosmology; the scalar Higgs field in the de Sitter space; spherical bubble; enclosed bubbles; collapse in an infinite time; nonlinear wave equation; automodelling variable; singular nonlinear boundary value problem; multiplicity of solutions;

机译：膨胀宇宙学;de Sitter空间中的标量希格斯场;球形气泡;封闭气泡;无限时间崩溃;非线性波动方程;自建模变量;奇异非线性边值问题;解的多重性;

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1. Automodelling solutions of the Higgs-field nonlinear wave equation in the de Sitter space [J] . A. L. Dyshko, N. B. Konyukhova, N. A. Voronov Computer physics communications . 2000,第1a2期

机译：De Sitter空间中希格斯场非线性波动方程的自动建模解
2. Small global solutions for nonlinear complex GinzburgLandau equations and nonlinear dissipative wave equations in Sobolev spaces [J] . Nakamura M. Reviews in mathematical physics . 2011,第8期

机译：Sobolev空间中非线性复GinzburgLandau方程和非线性耗散波动方程的小整体解
3. SMALL GLOBAL SOLUTIONS FOR NONLINEAR COMPLEX GINZBURG–LANDAU EQUATIONS AND NONLINEAR DISSIPATIVE WAVE EQUATIONS IN SOBOLEV SPACES [J] . MAKOTO NAKAMURA Reviews in Mathematical Physics . 2011,第8期

机译：Sobolev空间中非线性复Ginzburg-Landau方程和非线性耗散波方程的小整体解
4. The Maximum Principle and Sign-Changing Solutions of the Klein-Gordon Equation with the Higgs Potential in the de Sitter Spacetime [C] . Karen Yagdjian, Andras Balogh International Society for Analysis, Applications, and Computation Congress . 2019

机译：Klein-Gordon方程的最大原理和签收解决方案与De Satter Spacetime中的HIGGS潜力
5. Iteration methods for approximation of solutions of nonlinear equations in Banach spaces. [D] . Chidume, Chukwudi. 2008

机译：Banach空间中非线性方程解的逼近迭代方法。
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. A SINGULAR INITIAL-BOUNDARY VALUE PROBLEM FOR NONLINEAR WAVE EQUATIONS AND HOLOGRAPHY IN ASYMPTOTICALLY ANTI-DE SITTER SPACES [O] . Alberto Enciso, Niky Kamran 2016

机译：渐近抗静电空间中非线性波动方程和全息的奇异初边值问题

Automodelling solutions of the Higgs-field nonlinear wave equation in the de Sitter space

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