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The XOR-satisfiability (XORSAT) problem requires finding an assignment of n Boolean variables that satisfy m exclusive OR (XOR) clauses, whereby each clause constrains a subset of the variables. We co...
Gibbs states and the set of solutions of random constraint satisfaction problems.
The fundamental “two-fluid” model for describing plasma dynamics is given by the EulerMaxwell system, in which compressible ion and electronuids interact with their own self-consistent ...
Counting the World's Poor: Problems and Possible Solutions
In this paper we propose a convergence acceleration method for collocation solutions of the linear second-kind Volterra integral equations with proportional delay qt (0 < q < 1). This convergence a...
Abstract: We consider a fuzzy linear system with crisp coefficient matrix and with an arbitrary fuzzy number in parametric form on the right-hand side. It is known that the well-known existence and un...
The Newtonian Euler-Poisson equations with attractive forces are the classical models for the evolution of gaseous stars and galaxies in astrophysics. In this paper, we use the integration method to ...
Q-conditional symmetries of the classical Lotka-Volterra system in the case of one space variable are completely described and a set of such symmetries in explicit form is constructed. The relevant no...
Two possible diagnostics of stretching and folding (S&F) in fluid flows are discussed, based on the dynamics of the gradient of potential vor-ticity (q = ω · ∇) associated with solutions of the...
Moments of the vorticity are used to define and estimate a hierarchy of time-averaged inverse length scales λ−1 m for the three-dimensional Navier-Stokes equations on a periodic box [0, L]3.
We discuss a new family of solutions of the Grad–Shafranov GS equation that describes D-shaped to roidal plasma equilibria with sharp gradients at the plasma edge. These solutions have been derived ...
We propose an ultradiscrete analogue of Pl¨ucker relation specialized for soliton solutions. It is expressed by an ultradiscrete permanent which is obtained by ultradiscretizing the per- manent, tha...
We prove the existence of quasi-periodic solutions for Schr¨odinger equations with a multiplicative potential on Td, d ≥ 1, merely differentiable nonlinearities, and tangential frequencies constrained...
We prove a result of existence of positive solutions of the Dirichlet problem for $-\Delta_p u=\mathrm{w}(x)f(u,\nabla u)$ in a bounded domain $\Omega\subset\mathbb{R}^N$, where $\Delta_p$ is the $p$...
We study the equation −u+uq = 0, q > 1, in a bounded C2 domain  RN. A positive solution of the equation is moderate if it is dominated by a harmonic function and -moderate if it is the limit ...

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