Liouville‐type theorem for the steady compressible Hall‐MHD system
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DOI: 10.1002/mma.4605
Abstract: In this paper, we prove a Liouville-type theorem for the steady compressible Hall-magnetohydrodynamics system in Π, where Π is whole space R3 or half space R+3. We show that a smooth solution (ρ,u,B,P) satisfying 1/C0… read more here.
Keywords: theorem steady; steady compressible; type theorem; compressible hall ... See more keywords
Lyapunov functions for fractional‐order nonlinear systems with Atangana–Baleanu derivative of Riemann–Liouville type
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DOI: 10.1002/mma.7690
Abstract: Stability analysis plays an essential role in control systems design. This analysis can be done using different techniques that show the equilibrium points are stable (or unstable). This paper focuses on fractional systems of order… read more here.
Keywords: baleanu derivative; atangana baleanu; derivative riemann; riemann liouville ... See more keywords
Second regularized trace of a differential operator of Sturm–Liouville type
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DOI: 10.1002/mma.9874
Abstract: We consider a Sturm–Liouville‐type differential operator defined on a separable Hilbert space with bounded operator coefficient and periodic boundary conditions given on a finite interval. We obtain an explicit formula which we call the second… read more here.
Keywords: operator; differential operator; second regularized; regularized trace ... See more keywords
On Liouville Type Theorem for Stationary Non-Newtonian Fluid Equations
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DOI: 10.1007/s00332-020-09615-y
Abstract: In this paper, we prove a Liouville type theorem for non-Newtonian fluid equations in $$\mathbb R^3$$ R 3 , having the diffusion term $${\varvec{A}}_p( u)=\nabla \cdot ( |{\varvec{D}}(u)|^{p-2} {\varvec{D}}(u))$$ A p ( u ) =… read more here.
Keywords: varvec; newtonian fluid; type theorem; liouville type ... See more keywords
Special Class of Liouville-Type Hyperbolic Equations
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DOI: 10.1007/s10958-018-4135-z
Abstract: In this paper, we obtain differential substitutions for a special class of Liouville-type equations that simplify these equations. We present necessary and sufficient conditions of the existence of y-integrals of the second order. We examine… read more here.
Keywords: class liouville; special class; liouville type;
Liouville-type theorems for some classes of Riemannian almost product manifolds and for special mappings of Riemannian manifolds
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DOI: 10.1016/j.difgeo.2017.03.006
Abstract: Abstract In the present paper we prove Liouville-type theorems: non-existence theorems for some complete Riemannian almost product manifolds and special mappings of complete Riemannian manifolds which generalize similar results for compact manifolds. read more here.
Keywords: product manifolds; liouville type; almost product; riemannian almost ... See more keywords
Excluding blowup at zero points of the potential by means of Liouville-type theorems
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DOI: 10.1016/j.jde.2018.06.025
Abstract: We prove a local version of a (global) result of Merle and Zaag about ODE behavior of solutions near blowup points for subcritical nonlinear heat equations. As an application, for the equation $u_t= \Delta u+V(x)f(u)$,… read more here.
Keywords: points potential; type theorems; liouville type; blowup zero ... See more keywords
Liouville-type theorems for the 3D stationary Navier-Stokes, MHD and Hall-MHD equations
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124343
Abstract: Abstract In this paper, we consider the Liouville-type problem of the three dimensional stationary incompressible Navier-Stokes equations, and establish an improved Liouville-type result only under the condition that the L p norm of a velocity… read more here.
Keywords: mhd equations; mhd hall; liouville type; navier stokes ... See more keywords
Liouville-type results for semilinear inequalities involving the Dunkl Laplacian operator
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DOI: 10.1080/17476933.2024.2384485
Abstract: Let $ \Delta _k $ Δk be the Dunkl generalized Laplacian operator associated to a root system R of $ {\mathbb {R}}^N $ RN and a nonnegative multiplicity function k defined on R and invariant… read more here.
Keywords: involving dunkl; type results; dunkl laplacian; laplacian operator ... See more keywords
Liouville type results for systems of equations involving fractional Laplacian in exterior domains
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DOI: 10.1088/1361-6544/ab091b
Abstract: In this article we present a simple and unified probabilistic approach to prove nonexistence of positive super-solutions for systems of equations involving potential terms and the fractional Laplacian in an exterior domain. Such problems arise… read more here.
Keywords: fractional laplacian; systems equations; laplacian exterior; liouville type ... See more keywords
On Liouville-type theorems for the 2D stationary MHD equations
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DOI: 10.1088/1361-6544/ac3f8b
Abstract: We establish new Liouville-type theorems for the two-dimensional stationary magneto-hydrodynamic incompressible system assuming that the velocity and magnetic field have bounded Dirichlet integral. The key tool in our proof is observing that the stream function… read more here.
Keywords: stationary mhd; theorems stationary; type theorems; mhd equations ... See more keywords