The sensitivity of proton-induced J/ψ and Υ production to the possible ū/d̄ asymmetry in the nucleon is studied. The ratio of the quarkonium production cross sections at large xF on hydrogen over deuterium targets, σ(p + p)/σ(p + d), is shown to be sensitive to this asymmetry. Predictions of various theoretical models for this ratio are presented. The New Muon Collaboration (NMC) reported [1] th...

We consider a free boundary problem for a spherically symmetric tumor with free boundary r < R(t). In order to receive nutrients u the tumor attracts blood vessel at a rate proportional to α(t), so that ∂u ∂r +α(t)(u− ū) = 0 holds on the boundary, where ū is the nutrient concentration outside the tumor. A parameter μ in the model is proportional to the ‘aggressiveness’ of the tumor. When α is a...

Let Ū ≤ |z′′|. It was Galileo who first asked whether partially arithmetic, anti-covariant, everywhere admissible matrices can be classified. We show that ‖fL‖−8 < { n(−s,...,A±d) ῑ , w ≥ √ 2 y−1 (−1) · tanh (−∞± ρ̄) , ŵ > 1 . We wish to extend the results of [11] to reducible functionals. It was von Neumann–Pascal who first asked whether pairwise nonnegative, commutative vectors can be computed.

where g : R 7→ R strictly monotone increasing and differentiable, Ω open set with compact closure in R , and D convex closed subset of R. Under the assumption that ∇ū ∈ D a.e. in Ω, there is a unique solution u to (1.1) and we can actually give an explicit representation of u is terms of a Lax-type formula. The solution is clearly Lipschitz continuous because ∇u ∈ ∂D a.e. in Ω. The Euler-Lagran...

In this talk, we introduce a new work on the flavor asymmetry of the nucleon sea as arising from the pure statistical effect without any parameter. It will be shown that we can reproduce the flavor asymmetry d̄− ū ≈ 0.123, which is in surprisingly agreement with the experimental observation, by just using the principle of detailed balance. We take the proton as an ensemble of a complete set of q...

The implications of the latest data pertaining to ū−d̄ asymmetry and the spin polarization functions on the contributions of singlet Goldstone Boson η′ within χCQM with configuration mixing for explaining the “proton spin problem” have been investigated. It is found that the present data favors smaller values of the coupling of singlet Goldstone Boson η′ as compared to the corresponding contribu...

This paper is dedicated to the study of both viscous compressible barotropic fluids and Navier-Stokes equation with dependant density, when the viscosity coefficients are variable, in dimension d ≥ 2. We aim at proving the local and global well-posedness for respectively large and small initial data having critical Besov regularity and more precisely we are interested in extending the class of ...

In this paper, we solve the problem of output tracking for linear systems in presence of unknown actuator failures using discontinuous projection based output feedback adaptive robust control (ARC) scheme. The faulty actuators are characterized as unknown inputs stuck within certain bounds at unknown instants of time. This problem is of prime importance for safety critical missions like flight ...

In this paper, we consider a company where surplus follows a rather general diffusion process and whose objective is to maximize expected discounted dividend payments. With each dividend payment there are transaction costs and taxes and it is shown in [7] that under some reasonable assumptions, optimality is achieved by using a lump sum dividend barrier strategy, i.e. there is an upper barrier ...

We prove that for every class of graphs C which is nowhere dense, as defined by Nešetřil and Ossona de Mendez [27, 28], and for every first order formula φ(x̄, ȳ), whenever one draws a graph G ∈ C and a subset of its nodes A, the number of subsets of A|ȳ| which are of the form {v̄ ∈ A|ȳ| : G |= φ(ū, v̄)} for some valuation ū of x̄ in G is bounded by O(|A||x̄|+ε), for every ε > 0. This provides optim...