| viXra.org > Functions and Analysis > 2007 |
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| viXra.org > Functions and Analysis > 2007 |
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[8] viXra:2007.0190 [pdf] submitted on 2020-07-23 12:33:26
Authors: Zefu Feng, Jiao Xu, Kun Zhao, Changjiang Zhu
Comments: 32 Pages.
In this paper, we investigate the time-asymptotically nonlinear stability to the
initial-boundary value problem for a coupled system in (p, q) of parabolic conservation laws
derived from a Keller-Segel type repulsive model for chemotaxis with singular sensitivity and
nonlinear production rate of g(p) = p
γ
, where γ > 1. The proofs are based on basic energy
method without any smallness assumption. We also show the zero chemical diffusion limit
(ε → 0) of solutions in the case ¯p = 0.
Category: Functions and Analysis
[7] viXra:2007.0180 [pdf] submitted on 2020-07-22 08:11:10
Authors: Zefu Feng, Jiao Xu, Kun Zhao
Comments: 19 Pages.
In this paper, we are concerned with the time-periodic solutions to the threedimensional compressible viscoelastic flows with a time-periodic external force in a periodic
domain. By using an approach of parabolic regularization and combining with the topology
degree theory, we show the existence and uniqueness of the time-periodic solution to the model
under some smallness and symmetry assumptions on the external force.
Category: Functions and Analysis
[6] viXra:2007.0178 [pdf] submitted on 2020-07-22 08:12:33
Authors: Zefu Feng, Jiao Xu, Kun Zhao, Changjiang Zhu
Comments: 22 Pages.
In this paper, we investigate the time-asymptotically nonlinear stability to the
initial-boundary value problem for a coupled system in (p, q) of parabolic conservation laws
derived from a Keller-Segel type repulsive model for chemotaxis with singular sensitivity and
nonlinear production rate of g(p) = p
γ
, where γ > 1. The proofs are based on basic energy
method without any smallness assumption.
Category: Functions and Analysis
[5] viXra:2007.0177 [pdf] replaced on 2024-01-19 20:03:32
Authors: Martin Nicholson
Comments: 9 Pages. A new theorem, and a new section with a proof, and 5 new references are added. Discussion section is updated. Discussion of some open questions is added.
We generalize several integrals studied by Glaisher. These ideas are then applied to obtain an analog of an integral due to Ismail and Valent.
Category: Functions and Analysis
[4] viXra:2007.0089 [pdf] submitted on 2020-07-13 21:04:22
Authors: Theophilus Agama
Comments: 6 Pages.
In this short note we introduce and develop the concept of a string. We examine the various elementary properties of a string. Further, we relate the concept of the string to the concept of continuity of a function. In fact we prove that the two are loosely connected.
Category: Functions and Analysis
[3] viXra:2007.0088 [pdf] submitted on 2020-07-13 18:13:21
Authors: Theophilus Agama
Comments: 10 Pages.
In this paper we study a particular class of polynomials. We study the distribution of their zeros, including the zeros of their derivatives as well as the interaction between this two. We prove a weak variant of the sendov conjecture in the case the zeros are real and are of the same sign.
Category: Functions and Analysis
[2] viXra:2007.0064 [pdf] submitted on 2020-07-11 12:02:19
Authors: isreal Morawo
Comments: 4 Pages.
In this short paper, I will expresss and prove the volume of n-dimensional Spherical balls. The evaluation corely is expressed via multivariate calculus, factorials and special function.
Category: Functions and Analysis
[1] viXra:2007.0036 [pdf] submitted on 2020-07-06 17:26:30
Authors: Saburou Saitoh
Comments: 8 Pages. The title of the paper will be very fine with the result.
In this very short note, a pleasant relation of the basic idea of differential quotients $dy/dx$ of Leipniz and division by zero $1/0=0$. This will give a natural interpretation of the important result $\tan (\pi/2)=0$.
Category: Functions and Analysis
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