Blow-up of solutions for Euler-Bernoulli equation with nonlinear time delay by Lin Rongrui, Gao Yunlong, She Lianbing

“…We study the Euler-Bernoulli equations with time delay: utt+Δ2u−g1∗Δ2u+g2∗Δu+μ1ut(x,t)∣ut(x,t)∣m−2+μ2ut(x,t−τ)∣ut(x,t−τ)∣m−2=f(u),{u}_{tt}+{\Delta }^{2}u-{g}_{1}\ast {\Delta }^{2}u+{g}_{2}\ast \Delta u+{\mu }_{1}{u}_{t}\left(x,t){| {u}_{t}\left(x,t)| }^{m-2}+{\mu }_{2}{u}_{t}\left(x,t-\tau ){| {u}_{t}\left(x,t-\tau )| }^{m-2}=f\left(u), where τ\tau represents the time delay. …”
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Leptonic dipole operator with $$\Gamma _2$$ Γ 2 modular invariance in light of Muon $$(g-2)_\mu $$ ( g - 2 ) μ by Takaaki Nomura, Morimitsu Tanimoto, Xing-Yu Wang

“…We found that the NP contributions to $$\Delta a_{e(\mu )}$$ Δ a e ( μ ) are proportional to the lepton masses squared likewise the naive scaling $$\Delta a_\ell \propto m^2_\ell $$ Δ a ℓ ∝ m ℓ 2 . …”
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Derivations with values in noncommutative symmetric spaces by Huang, Jinghao, Sukochev, Fedor

“…Our main result identifies the class of spaces $E$ for which every derivation $\delta :\mathcal{A}\rightarrow E(\mathcal{M},\tau )$ is necessarily inner for each $C^*$-subalgebra $\mathcal{A}$ in the class of all semifinite von Neumann algebras $\mathcal{M}$ as those with the Levi property.…”
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Primordial black holes from effective field theory of stochastic single field inflation at NNNLO by Sayantan Choudhury, Ahaskar Karde, Pankaj Padiyar, M. Sami

“…In the drift-dominated limit, we perturbatively analyse the local non-Gaussianity parameters $$(f_\textrm{NL}, g_\textrm{NL}, \tau _\textrm{NL})$$ ( f NL , g NL , τ NL ) with the EFT-induced modifications. …”
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Phytocannabinoids: a new frontier in Alzheimer’s disease management by Jagadeesh S. Rao

“…Studies have shown that administering low amounts of THC can reduce the phosphorylation of tau, the accumulation of beta-amyloid proteins, and the levels of GSK3 beta. …”
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