Articles with "weak solution" as a keyword



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On convergence of Chorin's projection method to a Leray-Hopf weak solution

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Published in 2020 at "Numerische Mathematik"

DOI: 10.1007/s00211-020-01144-w

Abstract: The projection method to solve the incompressible Navier-Stokes equations was first studied by Chorin [Math. Comp., 1969] in the framework of a finite difference method and Temam [Arch. Rational Mech. and Anal., 1969] in the… read more here.

Keywords: weak solution; method; leray hopf; solution ... See more keywords
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Global Existence of a Weak Solution for a Model in Radiation Magnetohydrodynamics

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Published in 2017 at "Acta Applicandae Mathematicae"

DOI: 10.1007/s10440-016-0093-y

Abstract: We consider a simplified model based on the Navier-Stokes-Fourier system coupled to a transport equation and the Maxwell system, proposed to describe radiative flows in stars. We establish global-in-time existence for the associated initial-boundary value… read more here.

Keywords: global existence; existence weak; weak solution; magnetohydrodynamics ... See more keywords
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Nontrivial Weak Solution for a Schrödinger–Kirchhoff-Type System Driven by a $$(p_1,p_2)$$(p1,p2)-Laplacian Operator

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Published in 2018 at "Bulletin of the Iranian Mathematical Society"

DOI: 10.1007/s41980-018-0017-x

Abstract: In this paper, we investigate the existence of nontrivial weak solution for a Schrödinger–Kirchhoff-type system driven by a $$(p_1,p_2)$$(p1,p2)-Laplacian operator under appropriate hypotheses. The proofs are based on the variational methods. read more here.

Keywords: dinger kirchhoff; kirchhoff type; weak solution; nontrivial weak ... See more keywords
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Study on ammonia/water hybrid absorption/compression heat pump cycle to produce high temperature process water

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Published in 2018 at "Energy"

DOI: 10.1016/j.energy.2017.12.141

Abstract: Abstract The objectives of this paper are to analyze the heat transfer characteristics during the ammonia water absorption process for the hybrid absorption/compression heat pump system application. The hybrid absorption/compression heat pump cycle aims at… read more here.

Keywords: absorption; water; weak solution; process water ... See more keywords
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Uniqueness of weak solution for Chern–Simons–Dirac equations in R1 + 1

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Published in 2017 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2017.03.066

Abstract: Abstract We study the uniqueness of weak solution in L l o c ∞ ( [ 0 , + ∞ ) ; L 2 ( R 1 ) ) for initial value problem of Chern–Simons–Dirac… read more here.

Keywords: dirac equations; chern simons; simons dirac; uniqueness weak ... See more keywords
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Regularity of weak solutions to a class of nonlinear problem with non-standard growth conditions

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Published in 2020 at "Journal of Mathematical Physics"

DOI: 10.1063/5.0010026

Abstract: In this paper, we study the interior differentiability of a weak solution u ∈ Vp(x) to a nonlinear problem (1.2), which arises in electroheological fluids (ERFs) in an open bounded domain Ω⊂Rd, d = 2,… read more here.

Keywords: solutions class; nonlinear problem; weak solution; weak solutions ... See more keywords
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Existence of global weak solution for quantum Navier–Stokes system

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Published in 2020 at "International Journal of Mathematics"

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
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The Regularity of Solution for Weakly Coupled System Derived by Microwave Heating Model

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Published in 2019 at "Mathematics"

DOI: 10.3390/math7060501

Abstract: In this paper, we study the regularity of the weak solution of the coupled system derived from the microwave heating model with frequency variable. We first show that the weak solution E of the system… read more here.

Keywords: system; regularity; microwave heating; coupled system ... See more keywords