1,721,045 research outputs found

    On a class of perturbed conservation laws

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    Natalini, R.; Tesei, A.. (1991). On a class of perturbed conservation laws. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/1679

    Convergence of Diffusive BGK Approximations for Nonlinear Strongly Parabolic Systems

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    We study a class of BGK approximations of parabolic systems in one space dimension. We prove stability and existence of global solutions for this model. Moreover, under certain conditions, we prove a rigorous result of convergence toward the formal limit, by using compensated compactness techniques

    WEAK SOLUTIONS TO A HYDRODYNAMIC MODEL FOR SEMICONDUCTORS AND RELAXATION TO THE DRIFT-DIFFUSION EQUATION

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    We investigate the relaxation problem for the hydrodynamic isentropic Euler-Poisson system when the momentum relaxation time tends to zero. Very sharp estimates on the solutions, independent of the relaxation time, are obtained and used to establish compactness
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