Global strong solutions of the equations for the motion of nonhomogeneous incompressible fluids
José Luiz Boldrini, Marko Rojas-Medar
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Abstract: By using the spectral semi-Galerkin method, we prove a result on global existence in time of strong solutions of the Navier-Stokes equations for the motion of nonhomogeneous incompressible fluids. This was obtained without assuming that the external force field decay with time. We reach in...
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Abstract: By using the spectral semi-Galerkin method, we prove a result on global existence in time of strong solutions of the Navier-Stokes equations for the motion of nonhomogeneous incompressible fluids. This was obtained without assuming that the external force field decay with time. We reach in this way basically the same level of knowledge as in the case of the classical Navier-Stokes equations. We also derive estimates that are useful for obtaining error bounds for the approximate solutions. Stronger forms of these estimates, including an uniform in time estimate for the gradient of the density, are obtained when the external force field decays exponentially
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Global strong solutions of the equations for the motion of nonhomogeneous incompressible fluids
José Luiz Boldrini, Marko Rojas-Medar
Global strong solutions of the equations for the motion of nonhomogeneous incompressible fluids
José Luiz Boldrini, Marko Rojas-Medar
Fontes
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Relatório de Pesquisa n. 30, p. 1-26, jul. 1993 |