Measure-valued solutions and well-posedness of multi-dimensional conservation laws in a bounded domain.
Kondo, C.I., LeFloch, P.G. (2001)
Portugaliae Mathematica. Nova Série
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Kondo, C.I., LeFloch, P.G. (2001)
Portugaliae Mathematica. Nova Série
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Mihai Bostan, Thierry Goudon (2008)
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Ping Zhang, Yuxi Zheng (2005)
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Laure Saint-Raymond (2009)
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Anders Holmbom, Nils Svanstedt, Niklas Wellander (2005)
Applications of Mathematics
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Reiterated homogenization is studied for divergence structure parabolic problems of the form . It is shown that under standard assumptions on the function the sequence of solutions converges weakly in to the solution of the homogenized problem .
Michel Bellieud (2005)
ESAIM: Control, Optimisation and Calculus of Variations
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We study the homogenization of parabolic or hyperbolic equations like when the coefficients , (defined in ) take possibly high values on a -periodic set of grain-like inclusions of vanishing measure. Memory effects arise in the limit problem.