Self-similar solutions in a conformally invariant theory with continuous mass spectrum

1977 ◽  
Vol 31 (3) ◽  
pp. 476-478
Author(s):  
B. A. Magradze ◽  
V. A. Matveev
Keyword(s):  
Mass Spectrum ◽  
Invariant Theory ◽  
Conformally Invariant ◽  
Continuous Mass ◽  
Self Similar ◽  
Similar Solutions

ON SELF-SIMILAR SOLUTIONS, WELL-POSEDNESS AND THE CONFORMAL WAVE EQUATION

2002 ◽  
Vol 04 (02) ◽  
pp. 211-222 ◽  
Author(s):  
FABRICE PLANCHON
Keyword(s):  
Wave Equation ◽  
Linear Wave ◽  
Well Posedness ◽  
Initial Value ◽  
Linear Wave Equation ◽  
Conformally Invariant ◽  
Self Similar ◽  
Similar Solutions ◽  
Well Posed ◽  
Homogeneous Data

We prove that the initial value problem for the conformally invariant semi-linear wave equation is well-posed in the Besov space [Formula: see text]. This induces the existence of (non-radially symmetric) self-similar solutions for homogeneous data in such Besov spaces.

Plasma expansions in terms of self-similar solutions

2018 ◽  
Vol 5 (1) ◽  
pp. 4-15
Author(s):  
M. Murakami ◽  
Keyword(s):  
Self Similar ◽  
Similar Solutions

scholarly journals Radiation drive temperature measurements in aluminum via radiation-driven shock waves: Modeling using self-similar solutions

2021 ◽  
Vol 28 (3) ◽  
pp. 032105
Author(s):  
Shay I. Heizler ◽  
Tomer Shussman ◽  
Moshe Fraenkel
Keyword(s):  
Shock Waves ◽  
Temperature Measurements ◽  
Self Similar ◽  
Similar Solutions

scholarly journals A laser experiment for studying radiative shocks in astrophysics

2002 ◽  
Vol 20 (2) ◽  
pp. 263-268 ◽  
Author(s):  
X. FLEURY ◽  
S. BOUQUET ◽  
C. STEHLÉ ◽  
M. KOENIG ◽  
D. BATANI ◽  
...  
Keyword(s):  
Laser Pulse ◽  
Pulse Duration ◽  
Experimental Results ◽  
Laboratory Astrophysics ◽  
Laser Pulse Duration ◽  
Radiative Shocks ◽  
Self Similar ◽  
Laser Experiment ◽  
Similar Solutions

In this article, we present a laboratory astrophysics experiment on radiative shocks and its interpretation using simple modelization. The experiment is performed with a 100-J laser (pulse duration of about 0.5 ns) which irradiates a 1-mm3 xenon gas-filled cell. Descriptions of both the experiment and the associated diagnostics are given. The apparition of a radiation precursor in the unshocked material is evidenced from interferometry diagrams. A model including self-similar solutions and numerical ones is derived and fairly good agreements are obtained between the theoretical and the experimental results.

Self-similar solutions to stellar winds with cosmic rays

2005 ◽  
Vol 35 (12) ◽  
pp. 2115-2118 ◽  
Author(s):  
Chung-Ming Ko ◽  
Min-Hsu Chu
Keyword(s):  
Cosmic Rays ◽  
Stellar Winds ◽  
Self Similar ◽  
Similar Solutions

On a self-similar solution for the decay of turbulent bursts

1992 ◽  
Vol 3 (4) ◽  
pp. 319-341 ◽  
Author(s):  
S. P. Hastings ◽  
L. A. Peletier
Keyword(s):  
Asymptotic Behaviour ◽  
Physical Parameter ◽  
Dimensional Analysis ◽  
Existence And Uniqueness ◽  
The Self ◽  
Similar Solution ◽  
Self Similar Solution ◽  
Eigenvalue Parameter ◽  
Self Similar ◽  
Similar Solutions

We discuss the self-similar solutions of the second kind associated with the propagation of turbulent bursts in a fluid at rest. Such solutions involve an eigenvalue parameter μ, which cannot be determined from dimensional analysis. Existence and uniqueness are established and the dependence of μ on a physical parameter λ in the problem is studied: estimates are obtained and the asymptotic behaviour as λ → ∞ is established.

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