In an environmentally benign solventless system, aldehydes and ketones were readily converted to their corresponding azines with hydrazine sulfate, sodium hydroxide and alumina in high yield.

Abstract. Consider the random normal matrix ensemble associated with a potential on the plane which is sufficiently strong near infinity. It is known that, to a first approximation, the eigenvalues obey a certain equilibrium distribution, given by Frostman’s solution to the minimum energy problem of weighted logarithmic potential theory. On a finer scale, one can consider fluctuations of eigenv...

This paper constructs multirate time discretizations for hyperbolic conservation laws that allow different time-steps to be used in different parts of the spatial domain. The discretization is second order accurate in time and preserves the conservation and stability properties under local CFL conditions. Multirate timestepping avoids the necessity to take small global time-steps (restricted by...

In this paper, we prove the local exact null controllability of the thermoelastic plate model, in the absence of rotational inertia, and under the influence of the (non-Lipschitz) von Kármán nonlinearity. The plate component may be taken to satisfy either the clamped or higher order (and physically relevant) free boundary conditions. In the accompanying analysis, critical use is made of sharp o...

This paper proves sharp inequalities for the frequencies of vibration of strings and cylindrical membranes, under either fixed or fixed-free boundary conditions. We establish such inequalities also on the "generalized" cylinder, which is the cross-product of an interval with a homogeneous Riemannian manifold. The goal is to better understand the effect that inhomogeneities in the mass distribut...

Controllability properties of a partial di erential equation (PDE) model describing a thermoelastic plate are studied. The PDE is comprised of a Kircho plate equation coupled to a heat equation on a bounded domain, with the coupling taking place on the interior and boundary of the domain. The coupling in this PDE is parameterized by > 0. Boundary control is exerted through the (two) free bounda...

The order-parameter correlation functions of the Z 2-invariant multicritical points in the unitary minimal series of conformal eld theory are derived for a semi-innnite plane constrained to xed or free boundary conditions. These yield the corresponding universal surface exponents which distinguish the behaviour between even-and odd-critical models. We also make explicit the interplay between du...

We present a new class of second-order unification problems, which we have called linear. We deal with completely general second-order typed unification problems, but we restrict the set of unifiers under consideration: they instantiate free variables by linear terms, i.e. terms where any λ-abstractions bind one and only one occurrence of a bound variable. Linear second-order unification proper...

A closed-form expression is obtained for the generating function of close-packed dimers on a 2M × 2N simple quartic lattice embedded on a Möbius strip. The finite-size corrections are also analyzed and compared with those under cylindrical and free boundary conditions. Particularly, it is found that, for large lattices with a square symmetry and the Möbius boundary condition, the number of dime...

In this paper we consider a two-population lattice-Boltzmann algorithm to approximate the advection equation. First, the stability of this model algorithm is examined. The analysis is based on the analytic computation of the spectrum pertaining to the evolution matrix. After proving a necessary stability condition, the stability of the evolution matrix is shown, which is related to the CFL-cond...