Search Results - "Frid, Hermano"
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Remarks on the theory of the divergence-measure fields
Published in Quarterly of applied mathematics (01-09-2012)“…We review the theory of the (extended) divergence-measure fields providing an up-to-date account of its basic results established by Chen and Frid (1999,…”
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The strong trace property and the Neumann problem for stochastic conservation laws
Published in Stochastic partial differential equations : analysis and computations (01-12-2022)“…We establish the well-posedness of the Neumann problem for stochastic conservation laws with multiplicative noise. As a crucial point in order to prove the…”
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Uniqueness for multidimensional hyperbolic systems with commuting jacobians
Published in Archive for rational mechanics and analysis (01-09-2006)“…We consider nonlinear hyperbolic systems of conservation laws in several space dimensions with Jacobian matrices that commute, and more generally systems that…”
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A Boundary Value Problem for a Class of Anisotropic Degenerate Parabolic–Hyperbolic Equations
Published in Archive for rational mechanics and analysis (01-12-2017)“…We consider a mixed type boundary value problem for a class of degenerate parabolic–hyperbolic equations. Namely, we consider a Cartesian product domain and…”
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Invariant measures for stochastic conservation laws with Lipschitz flux in the space of almost periodic functions
Published in Journal of Differential Equations (15-12-2023)“…We study the well-posedness of the initial value problem and the long-time behavior of almost periodic solutions to stochastic scalar conservation laws in any…”
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Uniqueness and asymptotic stability of Riemann solutions for the compressible Euler equations
Published in Transactions of the American Mathematical Society (01-03-2001)“…We prove the uniqueness of Riemann solutions in the class of entropy solutions in L^\infty\cap BV_{loc} for the 3\times 3 system of compressible Euler…”
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Periodic solutions of conservation laws constructed through Glimm scheme
Published in Transactions of the American Mathematical Society (01-11-2001)“…We present a periodic version of the Glimm scheme applicable to special classes of 2\times 2 systems for which a simplication first noticed by Nishida (1968)…”
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A boundary value problem for a class of anisotropic stochastic degenerate parabolic-hyperbolic equations
Published in Journal of functional analysis (01-11-2023)“…We establish the well-posedness of an initial-boundary value problem of mixed type for a stochastic nonlinear parabolic-hyperbolic equation on a space domain…”
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Homogenization of stochastic conservation laws with multiplicative noise
Published in Journal of functional analysis (01-11-2022)“…We consider the generalized almost periodic homogenization problem for two different types of stochastic conservation laws with oscillatory coefficients and…”
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Global smooth solutions in R 3 to short wave-long wave interactions in magnetohydrodynamics
Published in Journal of Differential Equations (05-04-2017)Get full text
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Homogenization of degenerate porous medium type equations in ergodic algebras
Published in Advances in mathematics (New York. 1965) (20-10-2013)“…We consider the homogenization problem for general porous medium type equations of the form ut=Δf(x,xε,u). The pressure function f(x,y,⋅) may be of two…”
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Global smooth solutions in R3 to short wave-long wave interactions in magnetohydrodynamics
Published in Journal of Differential Equations (05-04-2017)“…We consider a Benney-type system modeling short wave-long wave interactions in compressible viscous fluids under the influence of a magnetic field…”
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Multiscale Young Measures in almost Periodic Homogenization and Applications
Published in Archive for rational mechanics and analysis (01-04-2009)“…We prove the existence of multiscale Young measures associated with almost periodic homogenization. We give applications of this tool in the homogenization of…”
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Homogenization of a generalized Stefan problem in the context of ergodic algebras
Published in Journal of functional analysis (01-06-2015)“…We address the deterministic homogenization, in the general context of ergodic algebras, of a doubly nonlinear problem which generalizes the well known Stefan…”
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Extended Divergence-Measure Fields and the Euler Equations for Gas Dynamics
Published in Communications in mathematical physics (01-05-2003)Get full text
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Measure-Valued Solutions to Initial-Boundary Value Problems for Certain Systems of Conservation Laws: Existence and Dynamics
Published in Transactions of the American Mathematical Society (01-01-1996)“…A framework for studying initial-boundary value problems for systems of conservation laws, in what concerns to the existence of measure-valued solutions and…”
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Asymptotic Stability of Riemann Solutions for a Class of Multidimensional Systems of Conservation Laws with Viscosity
Published in Archive for rational mechanics and analysis (01-07-2006)“…We prove the asymptotic stability of two-state nonplanar Riemann solutions for a class of multidimensional hyperbolic systems of conservation laws when the…”
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Nonlinear maps of convex sets in Hilbert spaces with application to kinetic equations
Published in Boletim da Sociedade Brasileira de Matemática (01-09-2008)“…Let be a separable Hilbert space, an open convex subset, and f : a smooth map. Let Ω be an open convex set in with , where denotes the closure of Ω in . We…”
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A Boundary Value Problem for a Class of Anisotropic Degenerate Parabolic-Hyperbolic Equations
Published 22-08-2022“…We consider a mixed type boundary value problem for a class of degenerate parabolic-hyperbolic equations. Namely, we consider a Cartesian product domain and…”
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