Global strong solutions to the Shliomis system for ferrofluids in a bounded domain
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DOI: 10.1002/mma.5695
Abstract: We consider the partial differential equations proposed by Shliomis to model the dynamics of an incompressible viscous ferrofluid submitted to an external magnetic field. The Shliomis system consists of the incompressible Navier‐Stokes equations, the magnetization… read more here.
Keywords: system; solutions shliomis; strong solutions; global strong ... See more keywords
Characterization of ground states for an M‐coupled system in a bounded domain with critical exponent
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DOI: 10.1002/mma.6429
Abstract: In this paper, we focus on the following M‐coupled system in a bounded domain −Δui+λiui=∑j=1Mκij2qij2*|uj|pij|ui|qij−2ui,y∈Ω,ui∈H01(Ω),i=1,2,…,M, where Ω⊂RN is bounded and pij+qij=2*:=2NN−2(N≥4). By purely variational methods, the existence of ground states to the above system under… read more here.
Keywords: system bounded; ground states; coupled system; bounded domain ... See more keywords
Regularity Criteria for a Ginzburg–Landau–Navier–Stokes in a Bounded Domain
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DOI: 10.1007/s40840-019-00866-x
Abstract: In this work, we prove some regularity criteria for a Ginzburg–Landau–Navier–Stokes system with the Coulomb gauge in a bounded domain $$\Omega \subset {\mathbb {R}}^3\,$$ Ω ⊂ R 3 . read more here.
Keywords: regularity criteria; ginzburg landau; landau navier; criteria ginzburg ... See more keywords
Global strong solutions to the nonhomogeneous incompressible MHD equations in a bounded domain
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DOI: 10.1016/j.nonrwa.2018.08.010
Abstract: Abstract In this paper we study the global existence of strong solutions to the 2D and 3D nonhomogeneous incompressible magnetohydrodynamic equations in a bounded domain. Our proofs are based on the combination of the regularity… read more here.
Keywords: solutions nonhomogeneous; strong solutions; bounded domain; nonhomogeneous incompressible ... See more keywords
Wellposedness of the sixth order Boussinesq equation with non-homogeneous boundary values on a bounded domain
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DOI: 10.1016/j.physd.2018.09.006
Abstract: Abstract This article is concerned with an initial–boundary-value problem (IBVP) for the sixth order Boussinesq equation on a bounded domain with non-homogeneous boundary conditions, (1) u t t − u x x + β u… read more here.
Keywords: sixth order; non homogeneous; bounded domain; boussinesq equation ... See more keywords
Global existence and asymptotic behavior for the 3D compressible magneto-micropolar fluids in a bounded domain
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DOI: 10.1063/1.5121247
Abstract: This paper analyzes the global existence and asymptotic behavior of the initial boundary value problem for the 3D compressible magnetomicropolar fluids. Based on the delicate energy estimates over the region away from the boundary and… read more here.
Keywords: global existence; asymptotic behavior; existence asymptotic; existence ... See more keywords
Asymptotic preserving discretization of a Jin–Xin model with implicit equilibrium manifold on a bounded domain
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DOI: 10.1093/imanum/dry089
Abstract: In this paper, we design and analyze a numerical scheme that approximates a Jin–Xin linear system with implicit equilibrium on a bounded domain. This scheme relaxes toward the asymptotic limit of the linear system. The… read more here.
Keywords: bounded domain; implicit equilibrium; jin xin;
Asymptotic analysis for a Vlasov–Fokker–Planck/Navier–Stokes system in a bounded domain
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DOI: 10.1142/s0218202521500482
Abstract: We study an asymptotic analysis of a coupled system of kinetic and fluid equations. More precisely, we deal with the nonlinear Vlasov–Fokker–Planck equation coupled with the compressible isentropic Navier–Stokes system through a drag force in… read more here.
Keywords: system; vlasov fokker; asymptotic analysis; bounded domain ... See more keywords
Blowing-up solutions for time-fractional equations on a bounded domain
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DOI: 10.1177/16878132221130228
Abstract: This paper proposes initial-boundary value problems for time-fractional analogs of Kuramoto-Sivashinsky, Korpusov-Pletner-Sveshnikov, Cahn-Allen, and Hoff equations due to a bounded domain. Adequate conditions for the blowing-up of solutions in limited time of previously mentioned conditions… read more here.
Keywords: fractional equations; time; solutions time; time fractional ... See more keywords