Displaying similar documents to “On non-homogeneous viscous incompressible fluids. Existence of regular solutions”

Systems of reaction-diffusion equations with spatially distributed hysteresis

Pavel Gurevich, Sergey Tikhomirov (2014)

Mathematica Bohemica

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We study systems of reaction-diffusion equations with discontinuous spatially distributed hysteresis on the right-hand side. The input of the hysteresis is given by a vector-valued function of space and time. Such systems describe hysteretic interaction of non-diffusive (bacteria, cells, etc.) and diffusive (nutrient, proteins, etc.) substances leading to formation of spatial patterns. We provide sufficient conditions under which the problem is well posed in spite of the assumed discontinuity...

Bipolar barotropic nonnewtonian fluid

Šárka Matušů-Nečasová, Mária Medviďová (1994)

Commentationes Mathematicae Universitatis Carolinae

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The paper describes the special situation of barotropic nonnewtonian fluid, where stress tensor can be written in the form of potentials which depend on e i j and ( e i j x k ) . For this case, we prove the existence and uniqueness of weak solution.