Publikation: Global existence versus blow-up for multi-d hyperbolized compressible Navier-Stokes equations
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2022
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Hu, Yuxi
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We consider the non-isentropic compressible Navier-Stokes equations in two or three space dimensions for which the heat conduction of Fourier's law is replaced by Cattaneo's law and the classical Newtonian flow is replaced by a revised Maxwell flow. We show that a physical entropy exists for this new model. For two special cases, we show the global well-posedness of solutions with small initial data and the blow-up of solutions in finite time for a class of large initial data. Moreover, for vanishing relaxation parameters, the solutions (if it exists) are shown to converge to solutions of the classical system.
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HU, Yuxi, Reinhard RACKE, 2022. Global existence versus blow-up for multi-d hyperbolized compressible Navier-Stokes equationsBibTex
@techreport{Hu2022-04-27T17:25:04ZGloba-57380, year={2022}, series={Konstanzer Schriften in Mathematik}, title={Global existence versus blow-up for multi-d hyperbolized compressible Navier-Stokes equations}, number={405}, author={Hu, Yuxi and Racke, Reinhard} }
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