Abstract We classify weakly exact, rational Lagrangian tori in $T^* \mathbb{T}^2- 0_{\mathbb{T}^2}$ up to Hamiltonian isotopy. This result is related the classification theory of closed $1$-forms on $\mathbb{T}^n$ and also has applications symplectic topology. As a 1st corollary, we strengthen due independently Eliashberg–Polterovich Giroux describing \mathbb{T}^2-0_{\mathbb{T}^2}$, which are h...

Abstract We consider Kerr frequency combs in a dual-pumped microresonator as time-periodic and spatially $$2\pi $$ 2 π -periodic traveling wave solutions of variant the Lugiato–Lefever equation, which is damped, detuned driven nonlinear Schrödinger equation given by $$\...

The rare decay $B\rightarrow A\gamma$, with $A$ representing axial-vector mesons such as $K_1 (1270),\; K_1 (1400),\; b_1(1300),\; a_1(1260)$, is studied at next-to-leading order (NLO) in soft collinear effective theory (SCET). large outgoing meson energy encourages the study of an appropriate factorization scheme that separates factorizable and non-factorizable parts systematically. We have an...

A mesoscopic lattice Boltzmann model is implemented for modelling isothermal two-component evaporation in porous media. The based on the pseudopotential multiphase with two components to mimic phase-change component (e.g. water and its vapour) non-condensible dry air), cascaded collision operator used enhance numerical performance. first analysed Chapman–Enskog expansion then validated by theor...

We study the inclusive strange axial-vector meson $K_1(1270)^+$ production in ${K^-}A$ reactions at near-threshold laboratory incident antikaon momenta within a nuclear spectral function approach, which describes incoherent direct $K^-$ meson--proton ${K^-}p \to {K_1(1270)^+}\Xi^-$ processes and accounts for three different options its in-medium mass shift (or effective scalar potential) centra...