Results 21 to 30 of about 270 (54)
Well-posedness for a class of nonlinear degenerate parabolic equations
, 2015 In this paper we obtain well-posedness for a class of semilinear weakly degenerate reaction-diffusion systems with Robin boundary conditions. This result is obtained through a Gagliardo-Nirenberg interpolation inequality and some embedding results for ...
A. Bensoussan +10 more
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Long-time behavior of an angiogenesis model with flux at the tumor boundary [PDF]
, 2012 This paper deals with a nonlinear system of partial differential equations modeling a simplified tumor-induced angiogenesis taking into account only the interplay between tumor angiogenic factors and endothelial cells.
A. Kettemann +12 more
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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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Mathematical analysis of an in-host model of viral dynamics with spatial heterogeneity
, 2015 We consider a spatially-heterogeneous generalization of a well-established model for the dynamics of the Human Immunodeficiency Virus-type 1 (HIV) within a susceptible host.
Pankavich, Stephen, Parkinson, Christian
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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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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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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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, 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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$L^p$-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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Non-Autonomous Maximal Regularity for Forms of Bounded Variation [PDF]
, 2014 We consider a non-autonomous evolutionary problem \[ u' (t)+\mathcal A (t)u(t)=f(t), \quad u(0)=u_0, \] where $V, H$ are Hilbert spaces such that $V$ is continuously and densely embedded in $H$ and the operator $\mathcal A (t)\colon V\to V^\prime$ is ...
Dier, Dominik
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