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Boundary Estimates for Doubly Nonlinear Parabolic Equations

We consider non-negative, weak solutions to the doubly nonlinear parabolic equation \[ \partial_t (u^q) − div(|Du|^{p−2}Du) = 0 \] in the super-critical fast diffusion regime 0 < p− 1 < q < N(p − 1)/(N − p)_+. We show that when solutions vanish continuously at the Lipschitz boundary of a parabolic cylinder Ω_T , they satisfy proper Carleson estimates. Assuming further regularity for the boundary of the domain Ω_T , we obtain a power-like decay at the boundary and a boundary Harnack inequ...

Multiplicity dependence of (multi-)strange hadron production in proton-proton collisions at √s = 13 TeV

The production rates and the transverse momentum distribution of strange hadrons at mid-rapidity (| y| < 0.5) are measured in proton-proton collisions at s = 13 TeV as a function of the charged particle multiplicity, using the ALICE detector at the LHC. The production rates of KS0, Λ , Ξ , and Ω increase with the multiplicity faster than what is reported for inclusive charged particles. The increase is found to be more pronounced for hadrons with a larger strangeness content. Possible auto-co...

Production of charged pions, kaons, and (anti-)protons in Pb-Pb and inelastic pp collisions at sNN =5.02 TeV

Midrapidity production of π±, K±, and (p¯)p measured by the ALICE experiment at the CERN Large Hadron Collider, in Pb-Pb and inelastic pp collisions at sNN=5.02 TeV, is presented. The invariant yields are measured over a wide transverse momentum (pT) range from hundreds of MeV/c up to 20 GeV/c. The results in Pb-Pb collisions are presented as a function of the collision centrality, in the range 0-90%. The comparison of the pT-integrated particle ratios, i.e., proton-to-pion (p/π) and kaon-to-...

Measurements of mixed harmonic cumulants in Pb–Pb collisions at sNN=5.02 TeV

Correlations between moments of different flow coefficients are measured in Pb–Pb collisions at sNN=5.02 TeV recorded with the ALICE detector. These new measurements are based on multiparticle mixed harmonic cumulants calculated using charged particles in the pseudorapidity region |η|<0.8 with the transverse momentum range 0.2<5.0 GeV/c. The centrality dependence of correlations between two flow coefficients as well as the correlations between three flow coefficients, both in terms of their s...

Kaon–proton strong interaction at low relative momentum via femtoscopy in Pb–Pb collisions at the LHC

In quantum scattering processes between two particles, aspects characterizing the strong and Coulomb forces can be observed in kinematic distributions of the particle pairs. The sensitivity to the interaction potential reaches a maximum at low relative momentum and vanishing distance between the two particles. Ultrarelativistic heavy-ion collisions at the LHC provide an abundant source of many hadron species and can be employed as a measurement method of scattering parameters that is compleme...

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