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
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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
Sign Up to like & getrecommendations! Published in 2019 at "Applicable Analysis"
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
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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
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
Nonexistence of global solutions for a fractional system of strongly coupledintegro-differential equations
Sign Up to like & getrecommendations! Published in 2019 at "Turkish Journal of Mathematics"
DOI: 10.3906/mat-1901-73
Abstract: In this paper, we study the nonexistence of nontrivial global solutions for a system of two strongly coupled fractional differential equations. Each equation involves two fractional derivatives and a nonlinear source term. The fractional derivatives… read more here.
Keywords: nonexistence global; system; solutions fractional; differential equations ... See more keywords