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Titlebook: Elliptic and Parabolic Problems; A Special Tribute to Catherine Bandle,Henri Berestycki,Giorgio Vergara Book 2005 Birkhäuser Basel 2005 Bo

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https://doi.org/10.1007/978-94-017-6408-7In this paper, we propose a finite volume scheme for the Chen energy transport model. We present numerical results obtained for the simulation of a one-dimensional n.nn. ballistic diode.
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One-Layer Free Boundary Problems with Two Free Boundaries,We study the uniqueness and successive approximation of solutions of a class of two-dimensional steady-state fluid problems involving infinite periodic flows between two periodic free boundaries, each characterized by a flow-speed condition related to Bernoulli’s law.
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On some Boundary Value Problems for Incompressible Viscous Flows with Shear Dependent Viscosity,In the sequel we discuss some regularity results . for solutions to the Navier-Stokes equations with shear dependent viscosity, under slip and non-slip boundary conditions, proved in references [3] and [4]. In this talk we show the main lines of the proofs.
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Hardy Potentials and Quasi-linear Elliptic Problems Having Natural Growth Terms,In this paper we consider nonlinear boundary value problems whose simplest model is the following: . where Ω is a bounded open set in ., . > 2.
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Harnack Inequality for ,-Laplacians on Metric Fractals,By using the approach of the ., we prove a Harnack inequality for non-negative local supersolutions of .-Laplacians — associated to .-Lagrangians — on metric fractals whose homogeneous dimension is less than ..
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A Solution of the Heat Equation with a Continuum of Decay Rates,In this paper, we prove the existence of a solution of the heat equation on . which decays at different rates along different time sequences going to infinity. In fact, all decay rates . with 0 < . < . are realized by this solution.
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