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Weak and measure-valued solutions to evolutionary PDE<scp>s</scp>, by J. Málek, J. Nečas, M. Rokyta, and M. Ružička

Weak and measure-valued solutions to evolutionary PDE<scp>s</scp>, by J. Málek, J. Nečas, M. Rokyta, and M. Ružička

Many basic equations in physics take the following form:Ot -(u) O, (1) where x E Rd, t > O, u-(Ul,...,us) represents the local density of the investigated quantities and f= (fl,"',fd) is the flux vector.Such an equation is often used to describe the conservation of the density u in the …