Results 1 to 10 of about 269 (55)
A global existence result for a Keller-Segel type system with supercritical initial data
, 2015 We consider a parabolic-elliptic Keller-Segel type system, which is related to a simplified model of chemotaxis. Concerning the maximal range of existence of solutions, there are essentially two kinds of results: either global existence in time for ...
Bartolucci, Daniele, Castorina, Daniele
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System of degenerate parabolic p-Laplacian
Open MathematicsIn this article, we study the mathematical properties of the solution u=(u1,…,uk){\bf{u}}=({u}^{1},\ldots ,{u}^{k}) to the degenerate parabolic system ut=∇⋅(∣∇u∣p−2∇u),(p>2).{{\bf{u}}}_{t}=\nabla \hspace{0.25em}\cdot \hspace{0.25em}({| \nabla {\bf{u}}| }^
Kim Sunghoon, Lee Ki-Ahm
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High order finite element calculations for the deterministic Cahn-Hilliard equation
, 2010 In this work, we propose a numerical method based on high degree continuous nodal elements for the Cahn-Hilliard evolution. The use of the p-version of the finite element method proves to be very efficient and favorably compares with other existing ...
Goudenège, Ludovic +2 more
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A free boundary model for transport-induced neurite growth
European Journal of Applied MathematicsWe introduce a free boundary model to study the effect of vesicle transport onto neurite growth. It consists of systems of drift-diffusion equations describing the evolution of the density of antero- and retrograde vesicles in each neurite coupled to ...
Greta Marino +2 more
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Nonlinear metastability for a parabolic system of reaction-diffusion equations [PDF]
, 2016 We consider a system of reaction-diffusion equations in a bounded interval of the real line, with emphasis on the metastable dynamics, whereby the time-dependent solution approaches its steady state in an asymptotically exponentially long time interval ...
Strani, Marta
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Demonstratio MathematicaThe aim of this work is to study the global existence in time of solutions for the tridiagonal system of reaction-diffusion by order mm. Our techniques of proof are based on compact semigroup methods and some L1{L}^{1}-estimates.
Barrouk Nabila, Abdelmalek Karima
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, 2019 In this work we consider the Keller-Segel system coupled with Navier-Stokes equations in $\mathbb{R}^{N}$ for $N\geq2$. We prove the global well-posedness with small initial data in Besov-Morrey spaces.
Ferreira, Lucas C. F., Postigo, Monisse
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Advances in Nonlinear AnalysisThe Keller-Segel-Navier-Stokes system in RN{{\mathbb{R}}}^{N} is considered, where N≥3N\ge 3. We show the existence and uniqueness of local mild solutions for arbitrary initial data and gravitational potential in scaling invariant Lorentz spaces ...
Takeuchi Taiki
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$L^p$-estimates for parabolic systems with unbounded coefficients coupled at zero and first order
, 2015 We consider a class of nonautonomous parabolic first-order coupled systems in the Lebesgue space $L^p({\mathbb R}^d;{\mathbb R}^m)$, $(d,m \ge 1)$ with $p\in [1,+\infty)$. Sufficient conditions for the associated evolution operator ${\bf G}(t,s)$ in $C_b(
Angiuli, Luciana +2 more
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Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems
, 2010 Much has been studied on the spreading speed and traveling wave solutions for cooperative reaction-diffusion systems. In this paper, we shall establish the spreading speed for a large class of non-cooperative reaction-diffusion systems and characterize ...
Wang, Haiyan
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