Results 11 to 20 of about 2,321 (137)
Topological Quasilinear Spaces
Abstract and Applied Analysis, 2012 We introduce, in this work, the notion of topological quasilinear spaces as a generalization of the notion of normed quasilinear spaces defined by Aseev (1986). He introduced a kind of the concept of a quasilinear spaces both including a classical linear
Yılmaz Yılmaz +2 more
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New Inner Product Quasilinear Spaces on Interval Numbers
Journal of Function Spaces, 2016 Primarily we examine the new example of quasilinear spaces, namely, “IRn interval space.” We obtain some new theorems and results related to this new quasilinear space.
Hacer Bozkurt, Yılmaz Yilmaz
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Boundary Value Problems, 2017 In this paper, we investigate the following nonlinear and non-homogeneous elliptic system: { − div ( a 1 ( | ∇ u | ) ∇ u ) + V 1 ( x ) a 1 ( | u | ) u = F u ( x , u , v ) in R N , − div ( a 2 ( | ∇ v | ) ∇ v ) + V 2 ( x ) a 2 ( | v | ) v = F v ( x , u ,
Liben Wang, Xingyong Zhang, Hui Fang
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Notes on the Solutions of the First Order Quasilinear Differential Equations
Ratio Mathematica, 2018 The system of the quasilinear differential first order equations with the antisymetric matrix and the same element f (t,x(t)) on the main diagonal have the property that r'(t) = f (t,x(t))r(t), where r(t) ≥ 0 is the po- lar function of the system.
Alena Vagaská, Dusan Mamrilla
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Expanding-box Quasilinear Model of the Solar Wind
The Astrophysical Journal, 2023 The expanding-box model of the solar wind has been adopted in the literature within the context of magnetohydrodynamics, hybrid, and full particle-in-cell simulations to investigate the dynamic evolution of the solar wind.
J. Seough +3 more
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Stability and instability of the quasilinear Gross-Pitaevskii dark solitons*** [PDF]
ESAIM: Proceedings and SurveysWe study a quasilinear Schrödinger equation with nonzero conditions at infinity. In previous works, we obtained a continuous branch of traveling waves, given by dark solitons indexed by their speed. Neglecting the quasilinear term, one recovers the Gross-
Le Quiniou Erwan
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Ground state solutions for a quasilinear Kirchhoff type equation
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We study the ground state solutions of the following quasilinear Kirchhoff type equation \[ -\left(1+b\int_{\mathbb{R}^{3}}|\nabla u|^2dx\right)\Delta u + V(x)u-[\Delta(u^2)]u=|u|^{10}u+\mu |u|^{p-1}u,\qquad x\in \mathbb{R}^3, \] where $b\geq 0$ and $\mu$
Hongliang Liu, Haibo Chen, Qizhen Xiao
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Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh +2 more
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Wave–particle interactions in tokamaks
Nuclear FusionTransport consequences of the wave–particle interactions in the quasilinear plateau (QP) regime are presented. Eulerian approach is adopted to solve the drift kinetic equation that includes the physics of the nonlinear trapping (NT) and QP regimes.
K.C. Shaing +3 more
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CONVEXITY OF REACHABLE SETS OF QUASILINEAR SYSTEMS
Ural Mathematical Journal, 2023 This paper investigates convexity of reachable sets for quasilinear systems under integral quadratic constraints. Drawing inspiration from B.T. Polyak's work on small Hilbert ball image under nonlinear mappings, the study extends the analysis to ...
Ivan Osipov
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