Global Existence of a Weak Solution for a Model in Radiation Magnetohydrodynamics
Sign Up to like & getrecommendations! 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
A note on existence of weak efficient solutions for vector equilibrium problems
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DOI: 10.1007/s11590-018-1242-1
Abstract: This work concerns with vector equilibrium problems where the image space of the bifunction is not endowed with any topology. To be precise, a kind of “semi-algebraic” upper semicontinuity notion is introduced and, by means… read more here.
Keywords: existence weak; weak efficient; efficient solutions; note existence ... See more keywords
Existence of weak positive solution for a singular elliptic problem with supercritical nonlinearity
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DOI: 10.1007/s13324-016-0162-4
Abstract: In this paper we consider the existence of weak positive solutions for an elliptic problems with the nonlinearity containing both singular and supercritical terms. By means of a priori estimate and sub-and supersolutions method, a… read more here.
Keywords: solution singular; positive solution; weak positive; existence weak ... See more keywords
Existence of weak and renormalized solutions of degenerated elliptic equation
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DOI: 10.1007/s13370-019-00682-3
Abstract: We consider the degenerate nonlinear elliptic equation (E) : $${\mathcal {A}}(u)= g-{\text {div}}(f)$$A(u)=g-div(f), where $${\mathcal {A}}(u)=-{\text {div}}(a(x,u,\nabla u))$$A(u)=-div(a(x,u,∇u)) is a Leray-Lions operator defined on $$W_0^{1,p(\cdot )}(\Omega )$$W01,p(·)(Ω) allowed to be non linear degenerated. The main… read more here.
Keywords: elliptic equation; weak renormalized; existence weak; cdot ... See more keywords
Existence of weak solutions of doubly nonlinear parabolic equations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.06.024
Abstract: Abstract We deal with a Cauchy–Dirichlet problem with homogeneous boundary conditions on the parabolic boundary of a space–time cylinder for doubly nonlinear parabolic equations, whose prototype is ∂ t u − div ( | u… read more here.
Keywords: cauchy dirichlet; existence weak; nonlinear parabolic; doubly nonlinear ... See more keywords
A remark on the global existence of weak solutions to the compressible quantum Navier–Stokes equations
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DOI: 10.1016/j.nonrwa.2018.07.009
Abstract: Abstract In this paper, we obtain the global existence of weak solutions to the compressible quantum Navier–Stokes equations. By virtue of a useful identity and an interesting estimate, we solve the critical case that the… read more here.
Keywords: compressible quantum; weak solutions; solutions compressible; existence weak ... See more keywords
Global existence of weak solutions to the compressible quantum Navier-Stokes equations with degenerate viscosity
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5127797
Abstract: We study the compressible quantum Navier-Stokes (QNS) equations with degenerate viscosity in the three dimensional periodic domains. On the one hand, we consider QNS with additional damping terms. Motivated by the recent works [Li-Xin, arXiv:1504.06826]… read more here.
Keywords: global existence; compressible quantum; solutions compressible; weak solutions ... See more keywords
Existence of weak solutions for quasilinear elliptic systems in Orlicz spaces
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DOI: 10.1080/00036811.2019.1680829
Abstract: ABSTRACTThis article deals with the existence of solutions for a quasilinear elliptic system in divergence form: −divσ(x,u,Du)=f in Ω, with boundary condition u(x)=0 on ∂Ω, where u:Ω→Rm and Ω⊂Rn is... read more here.
Keywords: existence weak; weak solutions; elliptic systems; systems orlicz ... See more keywords
Existence of weak solutions for a class of (p,q)$(p,q)$-Laplacian systems
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DOI: 10.1186/s13661-017-0897-3
Abstract: The existence of weak solutions for a class of (p,q)$(p,q)$-Laplacian systems is obtained by using a new linking theorem on the product space W01,p(Ω)×W01,q(Ω)$W^{1,p}_{0}(\Omega)\times W^{1,q}_{0}(\Omega)$. read more here.
Keywords: existence weak; solutions class; class laplacian; weak solutions ... See more keywords
Existence of weak solutions for a boundary value problem of a second order ordinary differential equation
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DOI: 10.1186/s13661-018-0929-7
Abstract: The aim of this paper is to investigate the existence of weak solutions for a boundary value problem of a second order differential equation. As the main tool, we apply a Krasnosel’skii type fixed point… read more here.
Keywords: solutions boundary; existence weak; value; value problem ... See more keywords