Nonhomogeneous boundary value problem for one-dimensional compressible viscous micropolar fluid model: Regularity of the solution.
Mujaković, Nermina (2008)
Boundary Value Problems [electronic only]
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Mujaković, Nermina (2008)
Boundary Value Problems [electronic only]
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Taoufik Hmidi (2007-2008)
Séminaire Équations aux dérivées partielles
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In this paper we prove the global well-posedness of the two-dimensional Boussinesq system with zero viscosity for rough initial data.
Karazeeva, N.A. (2005)
Journal of Applied Mathematics
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Zejia, Wang, Jingxue, Yin (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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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...