Global weak solutions to the active hydrodynamics of liquid crystals
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DOI: 10.1016/j.jde.2019.10.020
Abstract: Abstract We consider the incompressible flow of the active hydrodynamics of liquid crystals with inhomogeneous density in the Beris-Edwards hydrodynamics framework. The Landau-de Gennes Q-tensor order parameter is used to describe the liquid crystalline ordering.… read more here.
Keywords: global weak; active hydrodynamics; hydrodynamics; liquid crystals ... See more keywords
Uniqueness of the global weak solutions to 2D compressible primitive equations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.12.035
Abstract: Abstract In this paper, we investigate an initial boundary value problem for 2D compressible primitive equations with some specific viscosities. We will prove the uniqueness of the weak solutions obtained by B.V. Gatapov and A.V.… read more here.
Keywords: uniqueness global; global weak; solutions compressible; compressible primitive ... See more keywords
Global weak solutions for a degenerate parabolic system modelling seawater intrusion in confined aquifers
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DOI: 10.1080/00036811.2018.1544622
Abstract: ABSTRACT This article is devoted to prove the existence of a non-negative solution for a degenerate parabolic strongly coupled system which arises from seawater intrusion model in confined aquifers. An approximate linear discretized in time… read more here.
Keywords: system; seawater intrusion; global weak; confined aquifers ... See more keywords
Existence of global weak solution for quantum Navier–Stokes system
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DOI: 10.1142/s0129167x2050038x
Abstract: In this paper, the barotropic compressible quantum Navier–Stokes equations with a density-dependent viscosity in a three-dimensional torus is studied. By introducing a cold pressure to handle the c... read more here.
Keywords: existence global; global weak; weak solution; quantum navier ... See more keywords
Nonexistence of Global Weak Solutions for a Nonlinear Schrödinger Equation in an Exterior Domain
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DOI: 10.3390/sym12030394
Abstract: We study the large-time behavior of solutions to the nonlinear exterior problem L u ( t , x ) = κ | u ( t , x ) | p , ( t , x… read more here.
Keywords: solutions nonlinear; nonexistence global; global weak; weak solutions ... See more keywords