A high‐order compact scheme for solving the 2D steady incompressible Navier‐Stokes equations in general curvilinear coordinates
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DOI: 10.1002/fld.4791
Abstract: In this paper, a high‐order compact finite difference algorithm is established for the stream function‐velocity formulation of the two‐dimensional steady incompressible Navier‐Stokes equations in general curvilinear coordinates. Different from the previous work, not only the… read more here.
Keywords: order compact; steady incompressible; order; navier stokes ... See more keywords
A high‐order stabilized solver for the volume averaged Navier‐Stokes equations
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DOI: 10.1002/fld.5182
Abstract: The volume‐averaged Navier‐Stokes equations are used to study fluid flow in the presence of fixed or moving solids such as packed or fluidized beds. We develop a high‐order finite element solver using both forms A… read more here.
Keywords: solver; volume averaged; averaged navier; order ... See more keywords
Existence of global strong solution for the compressible Navier-Stokes equations with degenerate viscosity coefficients in 1D
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DOI: 10.1002/mana.201700050
Abstract: We consider Navier-Stokes equations for compressible viscous fluids in one dimension. We prove the existence of global strong solution with large initial data for the shallow water system. The key ingredient of the proof relies… read more here.
Keywords: existence global; strong solution; global strong; stokes equations ... See more keywords
The D incompressible Navier–Stokes equations with partial hyperdissipation
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DOI: 10.1002/mana.201700176
Abstract: Funding information NSFC, Grant/Award Numbers: 11601011, 11671273, 11231006; NSF, Grant/Award Number: 1614246 Abstract The three-dimensional incompressible Navier–Stokes equations with the hyperdissipation (−Δ)γ always possess global smooth solutions when γ ≥ 4 . Tao [6] and… read more here.
Keywords: stokes equations; equations partial; incompressible navier; partial hyperdissipation ... See more keywords
Global existence versus blow‐up results for one dimensional compressible Navier–Stokes equations with Maxwell's law
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DOI: 10.1002/mana.201700418
Abstract: We consider one dimensional isentropic compressible Navier–Stokes equations with constitutive relation of Maxwell's law instead of Newtonion law. For this new model, we show that for small initial data, a unique smooth solution exists globally… read more here.
Keywords: compressible navier; stokes equations; one dimensional; maxwell law ... See more keywords
Existence and zero-electron-mass limit of strong solutions to the stationary compressible Navier-Stokes-Poisson equation with large external force
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DOI: 10.1002/mma.4634
Abstract: In this study, we consider a viscous compressible model of plasma and semiconductors, which is expressed as a compressible Navier-Stokes-Poisson equation. We prove that there exists a strong solution to the boundary value problem of… read more here.
Keywords: poisson equation; compressible navier; stokes poisson; electron ... See more keywords
Global regularity criterion for the Navier‐Stokes equations based on the direction of vorticity
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DOI: 10.1002/mma.5818
Abstract: We study the regularity criterion for the Navier‐Stokes equations and show that the (β1,β2,β3)‐Hölder continuity assumption in (x1,x2,x3) on the direction of the vorticity ensures the regularity of the solution. This may be viewed as… read more here.
Keywords: navier stokes; stokes equations; regularity criterion; criterion navier ... See more keywords
Blowup of classical solutions to the pressureless Euler/isentropic Navier‐Stokes equations
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DOI: 10.1002/mma.5859
Abstract: In this paper, we will show the blowup of classical solutions to the Cauchy problem for the pressureless Euler/isentropic Navier‐Stokes equations in arbitrary dimensions under some restrictions on the initial data. Compared with the degenerate… read more here.
Keywords: classical solutions; navier stokes; isentropic navier; pressureless euler ... See more keywords
Global weak solutions and eventual smoothness in a 3D two‐competing‐species chemotaxis‐Navier‐Stokes system with two consumed signals
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DOI: 10.1002/mma.6154
Abstract: This paper deals with a two‐competition‐species chemotaxis‐Navier‐Stokes system with two different consumed signals (n1)t+u·∇n1=d1Δn1−χ1∇·(n1∇c)+μ1n1(1−n1−a1n2),inΩ×(0,∞),ct+u·∇c=d2Δc−α1cn2,inΩ×(0,∞),(n2)t+u·∇n2=d3Δn2−χ2∇·(n2∇v)+μ2n2(1−a2n1−n2),inΩ×(0,∞),vt+u·∇v=d4Δv−α2vn1,inΩ×(0,∞),ut+(u·∇)u=Δu+∇P+(β1n1+β2n2)∇ϕ,inΩ×(0,∞),∇·u=0,inΩ×(0,∞), in a smooth bounded domain Ω⊂R3 under zero Neumann boundary conditions for n1,n2,c,v , and homogeneous Dirichlet boundary condition for u… read more here.
Keywords: system; navier stokes; species chemotaxis; weak solutions ... See more keywords
The fractal dimension of pullback attractors for the 2D Navier–Stokes equations with delay
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DOI: 10.1002/mma.6634
Abstract: This paper is concerned with the bounded fractal and Hausdorff dimension of the pullback attractors for 2D nonautonomous incompressible Navier‐Stokes equations with constant delay terms. Using the construction of trace formula with two bases for… read more here.
Keywords: navier stokes; pullback attractors; dimension pullback; dimension ... See more keywords
Global well‐posedness for the stochastic non‐Newtonian fluid equations and convergence to the Navier‐Stokes equations
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DOI: 10.1002/mma.6827
Abstract: I will deliver my talk in two sessions. The first part contains motivation and preliminaries about stochastic partial differential equations. The existence of global pathwise solutions for the stochastic non-Newtonian incompressible fluid equations in space… read more here.
Keywords: fluid equations; stochastic non; stokes equations; non newtonian ... See more keywords