1,720,963 research outputs found
Bifurcation for variational inequalities with strongly indefinite quadratic part
No full textWe study the existence of bifurcation points for variational inequalities with strongly indefinite quadratic part. We use a nonsmooth
variational framework. An application to an elliptic system with an obstacle is given
On the Optimization of the Initial Boundary Value Problem for a Conservation Law
No full textAbstractIn the present note, the theory of shift differentiability for the Cauchy problem is extended to the case of an initial boundary value problem for a conservation law. This result allows to exhibit an Euler–Lagrange equation to be satisfied by the extrema of integral functionals defined on the solutions of initial boundary value problems of this kind
Minimising Stop and Go Waves to Optimise Traffic Flow
No full textAbstractMotivated by the problem of minimising the “stop and go” phenomenon in traffic flow, we consider a nonstandard problem of calculus of variations. Given a system of hyperbolic conservation laws, we introduce an integral functional where the integrating measure depends on the space derivative of the solution to the conservation law. An existence result for initial and, when present, boundary data that minimise this functional is proved
On the initial boundary value problem for Temple systems
No full textWe consider the initial boundary value problem for a nonlinear n x n system of conservation laws with coinciding shock and rarefaction curves and with a coordinate system made of Riemann invariants. Characteristic fields are not assumed either genuinely non linear or linearly degenerate. Nevertheless, we prove the existence of a flow whose trajectories are weak solutions of the equations which depend Lipschitz continuously on the initial data, on the boundary data and on the boundary profile. This result applies to several traffic flow models
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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