Global Solutions to a Nonlocal Fisher-KPP Type Problem
Sign Up to like & getrecommendations! Published in 2017 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-016-0075-0
Abstract: We consider a nonlocal Fisher-KPP reaction-diffusion model arising from population dynamics, consisting of a certain type reaction term uα(1−∫Ωuβdx)$u^{\alpha} ( 1-\int_{\varOmega}u^{\beta}dx ) $, where Ω$\varOmega$ is a bounded domain in Rn(n≥1)$\mathbb{R}^{n}(n \ge1)$. The energy method… read more here.
Keywords: problem; solutions nonlocal; beta; fisher kpp ... See more keywords
Global Solutions of the Perturbed Riemann Problem for the Chromatography Equations
Sign Up to like & getrecommendations! Published in 2019 at "Acta Mathematica Scientia"
DOI: 10.1007/s10473-019-0106-9
Abstract: The Riemann problem for the chromatography equations in a conservative form is considered. The global solution is obtained under the assumptions that the initial data are taken to be three piecewise constant states. The wave… read more here.
Keywords: problem chromatography; problem; chromatography equations; riemann problem ... See more keywords
Global solutions in a quasilinear parabolic–parabolic chemotaxis system with decaying diffusivity and consumption of a chemoattractant
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.06.001
Abstract: Abstract In this study, we consider the quasilinear parabolic–parabolic chemotaxis model: { u t = ∇ ⋅ ( D ( u ) ∇ u ) − ∇ ⋅ ( S ( u ) ∇ v… read more here.
Keywords: parabolic parabolic; diffusivity; quasilinear parabolic; parabolic chemotaxis ... See more keywords
Asymptotic behavior of global solutions of aerotaxis equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.02.044
Abstract: Abstract We study asymptotic behavior of global solutions of one-dimensional aerotaxis model proposed in Knosalla and Nadzieja (2015) [9] . read more here.
Keywords: behavior global; global solutions; solutions aerotaxis; asymptotic behavior ... See more keywords
Global solutions for the one-dimensional compressible Navier-Stokes-Smoluchowski system
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Physics"
DOI: 10.1063/1.4982360
Abstract: In this paper, we consider a fluid-particle interaction model for the evolution of particles dispersed in a fluid. The fluid flow is governed by the Navier-Stokes equations for a compressible fluid while the evolution of… read more here.
Keywords: solutions one; system; one dimensional; global solutions ... See more keywords
Uniform boundness of global solutions for a n-dimensional spherically symmetric combustion model
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DOI: 10.1080/00036811.2018.1469010
Abstract: ABSTRACT This paper concerns a n-dimensional spherically symmetric model for the combustion of a viscous, compressible, radiative-reactive gas with a chemical kinetics equation. Under suitable assumptions, we establish some uniform-in-time estimates of global solutions to… read more here.
Keywords: spherically symmetric; combustion; dimensional spherically; model ... See more keywords
Global and non-global solutions of a fractional reaction-diffusion equation perturbed by a fractional noise
Sign Up to like & getrecommendations! Published in 2020 at "Stochastic Analysis and Applications"
DOI: 10.1080/07362994.2020.1751659
Abstract: Abstract We provide conditions implying finite-time blowup of positive weak solutions to the semilinear equation where and are constants, is the fractional power of the Laplacian, is a fractional Brownian motion with Hurst parameter H,… read more here.
Keywords: global non; solutions fractional; fractional reaction; equation ... See more keywords
The Number of Global Solutions for GPS Source Localization in Two‐Dimension
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DOI: 10.1155/2024/7980810
Abstract: Source localization is widely used in many areas including GPS, but the influence of possible noises cannot be overlooked. Many optimization methods have been attempted to mitigate different kinds of noises. However, the stability of… read more here.
Keywords: number; number global; source localization; source ... See more keywords
Global solutions for a new geometric flow with rotational invariance
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DOI: 10.1186/s13661-017-0751-7
Abstract: In this paper we introduce a new geometric flow with rotational invariance and prove the existence of a global solution. read more here.
Keywords: new geometric; rotational invariance; geometric flow; global solutions ... See more keywords
Absence of global solutions to wave equations with structural damping and nonlinear memory
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DOI: 10.1515/dema-2024-0048
Abstract: Abstract We prove the nonexistence of global solutions for the following wave equations with structural damping and nonlinear memory source term u t t + ( − Δ ) α 2 u + ( −… read more here.
Keywords: equations structural; damping nonlinear; left delta; wave equations ... See more keywords
On Global Solutions of Two-Dimensional Hyperbolic Equations with General-Kind Nonlocal Potentials
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DOI: 10.3390/math12121811
Abstract: In the case of one spatial independent variable, we study hyperbolic differential-difference equations with potentials represented as linear combinations of translations of the desired function along the spatial variable. The qualitative novelty of this investigation… read more here.
Keywords: general kind; investigated equation; solutions two; global solutions ... See more keywords