Final Technical Report

Griffith, W C

doi:10.2172/1043832

Cited by 2 publications

(9 citation statements)

References 35 publications

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“…4 shows the steepening of a density wave in a gas, leading to a jump of the density in the picture on the right. In the words of [93]: "We conclude that an infinite slope in the theoretical solution corresponds to a shock in real life". As throughout this review, we only consider the dynamics up to the singularity.…”

Section: Breaking Waves In Conservation Lawsmentioning

confidence: 96%

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The role of self-similarity in singularities of partial differential equations

2008

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We survey rigorous, formal, and numerical results on the formation of point-like singularities (or blow-up) for a wide range of evolution equations. We use a similarity transformation of the original equation with respect to the blow-up point, such that self-similar behaviour is mapped to the fixed point of a dynamical system. We point out that analysing the dynamics close to the fixed point is a useful way of characterising the singularity, in that the dynamics frequently reduces to very few dimensions. As far as we are aware, examples from the literature either correspond to stable fixed points, low-dimensional centre-manifold dynamics, limit cycles, or travelling waves. For each "class" of singularity, we give detailed examples.

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Section: Breaking Waves In Conservation Lawsmentioning

confidence: 96%

“…If the Figure 4. Fringe pattern showing the steepening of a wave in a gas, leading to the formation of a shock, which is travelling from left to right [93]. The vertical position of a given fringe is proportional to the density at that point.…”

Section: Breaking Waves In Conservation Lawsmentioning

confidence: 99%

The role of self-similarity in singularities of partial differential equations

2008

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“…The experimental bound on neucleon may be obtained from the experimental value of 199 Hg EDM [10], d Hg ≤ 3.1 × 10 −29 [e cm] (95% C.L.) (5) and theoretical estimations…”

Section: Edms In the Smmentioning

confidence: 99%

“…is realized. If we consider it as a remnant from SO (10), SO(10) → SU (4) c × SU (2) L × SU (2) R (If we start from this group, it is called the Pati-Salam (PS) model. ), it satisfies at a certain energy scale v PS…”

Section: Left-right (Lr) Symmetric Modelsmentioning

confidence: 99%

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Filling the gaps between model predictions and their prerequisites in electric dipole moments

Fukuyama

Asahı

2016

Int. J. Mod. Phys. A

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We clarify the conditions or assumptions under which theoretical predictions of various models beyond the standard model give mainly in electric dipole moments. The correct interpretation of those conditions seems to be indispensable to the refinements of model building as well as to the mutual reliance in experimental and theoritical communities. The connections of these analyses to the recent experimental results at the LHC and the other places are also discussed.

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Final Technical Report

Cited by 2 publications

References 35 publications

The role of self-similarity in singularities of partial differential equations

The role of self-similarity in singularities of partial differential equations

Filling the gaps between model predictions and their prerequisites in electric dipole moments

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