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Autor:
Lotfi Jlali
Publikováno v:
Open Mathematics, Vol 19, Iss 1, Pp 898-908 (2021)
In this paper, we study the long time decay of global solution to the 3D incompressible Navier-Stokes equations. We prove that if u ∈ C ( R + , X − 1 , σ ( R 3 ) ) u\in {\mathcal{C}}\left({{\mathbb{R}}}^{+},{{\mathcal{X}}}^{-1,\sigma }\left({{\m
Autor:
K.S. Al Noufaey
Publikováno v:
Open Mathematics, Vol 19, Iss 1, Pp 46-62 (2021)
This study provides semi-analytical solutions to the Selkov-Schnakenberg reaction-diffusion system. The Galerkin method is applied to approximate the system of partial differential equations by a system of ordinary differential equations. The steady
Autor:
Pierpaolo Omari, Franco Obersnel
Publikováno v:
Open Mathematics, Vol 18, Iss 1, Pp 1185-1205 (2020)
This paper focuses on the existence and the multiplicity of classical radially symmetric solutions of the mean curvature problem:−div∇v1+|∇v|2=f(x,v,∇v)inΩ,a0v+a1∂v∂ν=0on∂Ω,\left\{\begin{array}{ll}-\text{div}\left(\frac{\nabla v}{\sq
Autor:
Srijanani Anurag Prasad
Publikováno v:
Demonstratio Mathematica, Vol 52, Iss 1, Pp 467-474 (2019)
Reproducing Kernel Hilbert Spaces (RKHS) and their kernel are important tools which have been found to be incredibly useful in many areas like machine learning, complex analysis, probability theory, group representation theory and the theory of integ
Autor:
Chunrui Zhang, Rina Su
Publikováno v:
Open Mathematics, Vol 17, Iss 1, Pp 962-978 (2019)
In this paper, we consider a class of delay coupled Lotka-Volterra ring systems. Based on the symmetric bifurcation theory of delay differential equations and representation theory of standard dihedral groups, properties of phase locked periodic solu
Autor:
Kenan Taş, Brian Fisher
Publikováno v:
Demonstratio Mathematica, Vol 52, Iss 1, Pp 249-255 (2019)
The neutrix composition F(f (x)) of a distribution F(x) and a locally summable function f (x) is said to exist and be equal to the distribution h(x) if the neutrix limit of the sequence {Fn (f (x))} is equal to h(x), where Fn (x) = F(x) * δ n (x) an
Autor:
S. A. Plaksa, Serhii V. Gryshchuk
Publikováno v:
Open Mathematics, Vol 15, Iss 1, Pp 374-381 (2017)
We consider a commutative algebra 𝔹 over the field of complex numbers with a basis {e1, e2} satisfying the conditions $ (e_{1}^{2}+e_{2}^{2})^{2}=0, e_{1}^{2}+e_{2}^{2}\neq 0. $ Let D be a bounded simply-connected domain in ℝ2. We consider (1-4)
Publikováno v:
Open Mathematics, Vol 14, Iss 1, Pp 661-672 (2016)
In this study, a vibration problem of Euler-Bernoulli beam manufactured with Functionally Graded Material (FGM), which is modelled by fourth-order partial differential equations with variable coefficients, is examined by using the Adomian Decompositi
Publikováno v:
Open Mathematics, Vol 12, Iss 10, Pp 1484-1499 (2014)
For a class of asymptotically periodic Schrödinger-Poisson systems with critical growth, the existence of ground states is established. The proof is based on the method of Nehari manifold and concentration compactness principle.
Autor:
Piotr Jędrzejewicz
Publikováno v:
Open Mathematics, Vol 12, Iss 8, Pp 1278-1284 (2014)
We prove that an irreducible polynomial derivation in positive characteristic is a Jacobian derivation if and only if there exists an (n-1)-element p-basis of its ring of constants. In the case of two variables we characterize these derivations in te