Results 21 to 30 of about 241 (34)
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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Global weak solution and blow-up criterion of the general Ericksen-Leslie system for nematic liquid crystal flows [PDF]
, 2013 In this paper we investigate the three dimensional general Ericksen-Leslie (E--L) system with Ginzburg-Landau type approximation modeling nematic liquid crystal flows.
Cavaterra, Cecilia +2 more
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Local existence and uniqueness of regular solutions in a model of tissue invasion by solid tumours [PDF]
, 2008 In this paper we consider a nonlinear system of differential equations arising in tumour invasion which has been proposed in [1] M.A.J. Chaplain and A.R.A.
Morales Rodrigo, Cristian
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On a 3D isothermal model for nematic liquid crystals accounting for stretching terms [PDF]
, 2012 The present contribution investigates the well-posedness of a PDE system describing the evolution of a nematic liquid crystal flow under kinematic transports for molecules of different shapes. More in particular, the evolution of the {\em velocity field}
Cavaterra, Cecilia, Rocca, Elisabetta
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Analysis of a model arising from invasion by precursor and differentiated cells
, 2013 We study the wave solutions for a degenerated reaction diffusion system arising from the invasion of cells. We show that there exists a family of waves for the wave speed larger than or equals a certain number, and below which there is no monotonic wave ...
Hou, Xiaojie
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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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, 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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Non-Autonomous Maximal Regularity in Hilbert Spaces
, 2016 We consider non-autonomous evolutionary problems of the form $u'(t)+A(t)u(t)=f(t)$, $u(0)=u_0,$ on $L^2([0,T];H)$, where $H$ is a Hilbert space.
Dier, Dominik, Zacher, Rico
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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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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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