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An extended version of the Maz'ya-Shaposhnikova theorem on the limit as s -> 0+
of the Gagliardo-Slobodeckij fractional seminorm is established in the Orlicz space
setting. Our result holds in fractional Orlicz-Sobolev spaces associated with Young
functions satisfying the \Delta2-condition, and… |
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This paper introduces a new model of pedestrian flow, formulated within a measure-theoretic framework. It consists of a macroscopic representation of the system via a family of measures which, pushed forward by some flow maps, provide an estimate of the space occupancy by pedestrians at successive… |
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This paper deals with the solution of an inverse problem for the heat equation aimed at nondestructive evaluation of fractures, emerging on the accessible surface of a slab, by means of Active Thermography. In real life, this surface is heated with a laser and its temperature is measured for a time… |
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Test particle geodesic motion is analysed in detail for the background spacetimes of the degenerate FerrariIbañez colliding gravitational wave solutions. Killing vectors have been used to reduce the equations of motion to a first-order system of differential equations which have been integrated… |
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This paper deals with models of living complex systems, chiefly human crowds, by methods of conservation laws and measure theory. We introduce a modeling framework which enables one to address both discrete and continuous dynamical systems in a unified manner using common phenomenological ideas and… |
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We consider a system of ordinary differential equations representing a large class of mathematical models concerning the dynamics of an infection in an organism or in a population and we show that the study of the linearized stability leads to some conditions on the basic reproduction number which… |
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Drug research, therapy development, and other areas of pharmacology and medicine can benefit from simula- tions and optimization of mathematical models that contain a mathematical description of interactions between systems elements at the cellular, tissue, organ, body, and population level. This… |
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This paper deals with the development of a scientific computing environment for differential field simulation. We mean a modelling and simulation environment based on partial differential equations and their numerical solution as powerful and widely used technique for mathematical and computational… |
