LAUSR

Liouville‐type theorem for the steady compressible Hall‐MHD system

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1 Published in 2018 at "Mathematical Methods in The Applied Sciences"

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

Robust stabilization of nonlinear stochastic 2‐D systems: LaSalle‐type theorem approach

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1 Published in 2020 at "International Journal of Robust and Nonlinear Control"

DOI: 10.1002/rnc.5016

Abstract: LaSalle theorem (also known as the LaSalle invariance principle) plays an essential role in the systems and control theory. Recently, it has been extensively studied and developed for various types of one‐dimensional (1‐D) systems including… read more here.

Keywords: lasalle type; theorem; type theorem; stochastic systems ... See more keywords

An Anderson–Choquet-type theorem and a characterization of weakly chainable continua

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0 Published in 2017 at "Mediterranean Journal of Mathematics"

DOI: 10.1007/s00009-017-0868-z

Abstract: We introduce the concept of proper convergence of a sequence of subspaces of a metric space and then prove that a continuum X is weakly chainable if there is a sequence of arcs converging properly… read more here.

Keywords: weakly chainable; anderson choquet; choquet type; type theorem ... See more keywords

Maillet type theorem for nonlinear totally characteristic partial differential equations

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0 Published in 2019 at "Mathematische Annalen"

DOI: 10.1007/s00208-019-01864-x

Abstract: The paper discusses a holomorphic nonlinear singular partial differential equation $$(t \partial _t)^mu=F(t,x,\{(t \partial _t)^j \partial _x^{\alpha }u \}_{j+\alpha \le m, j read more here.

Keywords: nonlinear totally; maillet type; partial differential; totally characteristic ... See more keywords

On Liouville Type Theorem for Stationary Non-Newtonian Fluid Equations

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0 Published in 2020 at "Journal of Nonlinear Science"

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

An Obata-type theorem on compact Einstein manifolds with boundary

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1 Published in 2021 at "Geometriae Dedicata"

DOI: 10.1007/s10711-021-00598-y

Abstract: We show a kind of Obata-type theorem on a compact Einstein n -manifold $$(W, \bar{g})$$ ( W , g ¯ ) with smooth boundary $$\partial W$$ ∂ W . Assume that the boundary $$\partial W$$… read more here.

Keywords: compact einstein; bar; obata type; einstein ... See more keywords

A Rockafellar-type theorem for non-traditional costs

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1 Published in 2022 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2021.108157

Abstract: We present a new approach to the problem of existence of a potential for the optimal transport problem with respect to non-traditional cost functions, that is, costs that may assume infinite values. We define a… read more here.

Keywords: rockafellar type; theorem non; theorem; type theorem ... See more keywords

A Urysohn-type theorem and the Bishop-Phelps-Bollobás theorem for holomorphic functions

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1 Published in 2019 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2019.123393

Abstract: Abstract A Urysohn-type theorem is introduced for a subalgebra of the algebra C b ( Ω ) of all bounded complex-valued continuous functions on a Hausdorff topological space Ω. With use of this theorem, it… read more here.

Keywords: holomorphic functions; theorem; bishop phelps; type theorem ... See more keywords

A note on Malmquist-Yosida type theorem of higher order algebraic differential equations

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0 Published in 2018 at "Acta Mathematica Scientia"

DOI: 10.1016/s0252-9602(18)30761-6

Abstract: Abstract In this article, we give a simple proof of Malmquist-Yosida type theorem of higher order algebraic differential equations, which is different from the methods as that of Gackstatter and Laine [2], and Steinmetz [12]. read more here.

Keywords: malmquist yosida; order algebraic; higher order; yosida type ... See more keywords

A Pirashvili-type theorem for functors on non-empty finite sets

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3 Published in 2022 at "Glasgow Mathematical Journal"

DOI: 10.1017/s0017089522000039

Abstract: Pirashvili’s Dold–Kan type theorem for finite pointed sets follows from the identification in terms of surjections of the morphisms between the tensor powers of a functor playing the role of the augmentation ideal; these functors… read more here.

Keywords: pirashvili type; theorem; type theorem; theorem functors ... See more keywords

Bykovskii-Type Theorem for the Picard Manifold

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0 Published in 2020 at "International Mathematics Research Notices"

DOI: 10.1093/imrn/rnaa128

Abstract: We generalise a result of Bykovskii to the Gaussian integers and prove an asymptotic formula for the prime geodesic theorem in short intervals on the Picard manifold. Previous works show that individually the remainder is… read more here.

Keywords: bykovskii type; theorem picard; theorem; type theorem ... See more keywords