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Titlebook: Hyperbolic Problems: Theory, Numerics, Applications. Volume I; HYP2022, Málaga, Spa Carlos Parés,Manuel J. Castro,María Luz Muñoz-Ruiz Conf

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https://doi.org/10.1007/978-3-031-55260-1Hyperbolic Partial Differential Equations; Systems of conservation laws; Systems of balance laws; Navie
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Quantitative Compactness Estimates for Stochastic Conservation Laws (2013) for deterministic equations. With a stochastic modification of Kružkov’s interpolation lemma, this estimate provides bounds on the rate at which a sequence of vanishing viscosity solutions becomes compact.
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The Relative Energy for Electromagnetic Fluids is formally derived. Moreover, two applications of the relative energy for these type of systems are given. The first application deals with the weak-strong uniqueness property of a Euler-Poisson system, while the second concerns the relaxation limit of a bipolar Euler-Poisson system towards a bipo
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Weak Solutions with Bounded Support to an Euler-Type Flocking Modelflocking-type with all-to-all interaction kernel in one-space dimension. An appropriate notion of entropy weak solutions with bounded support is described, to capture the behavior of solutions to the Cauchy problem with any . initial data that has finite total mass confined in a bounded interval and
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Minimizing Movements for Hyperbolic Obstacle-Type Problems and Applicationsof solutions for a wide class of hyperbolic obstacle-type problems, including non local operators as well as vector-valued maps. The main results are obtained through a variational scheme inspired to De Giorgi’s minimizing movements. As a first application, a compactness result is derived for energy
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Compactness Property of the Linearized Boltzmann Operator for a Mixture of Polyatomic Gaseszmann equation that models a mixture of polyatomic gases of . species .. At the microscopic level, one additional argument of the distribution function is introduced which is the parameter I denoting the continuous internal energy. Under some convenient assumptions on the collision cross-section .,
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