A hyperbolic system and the cost of null controllability for the Stokes system [PDF]
, 2014 This paper is devoted to study the cost of the null controllability for the Stokes system. Using the control transmutation method we show that the cost of driving the Stokes system to rest at time T is of order e^C/T when T -->0^+,i.e., the same order as
Chaves-Silva, F. W.
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The parabolic-parabolic Keller-Segel system with critical diffusion as a gradient flow in $\RR^d$, $d \ge 3$ [PDF]
, 2012 It is known that, for the parabolic-elliptic Keller-Segel system with critical porous-medium diffusion in dimension $\RR^d$, $d \ge 3$ (also referred to as the quasilinear Smoluchowski-Poisson equation), there is a critical value of the chemotactic ...
Blanchet, Adrien, Laurençot, Philippe
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Local pinching estimates in 3-dim Ricci flow
, 2013 We study curvature pinching estimates of Ricci flow on complete 3- dimensional manifolds without bounded curvature assumption. We will derive some general curvature conditions which are preserved on any complete solution of 3-dim Ricci flow, these ...
Chen, Bing-Long +2 more
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On an application of Tikhonov's fixed point theorem to a nonlocal Cahn-Hilliard type system modeling phase separation [PDF]
, 2015 This paper investigates a nonlocal version of a model for phase separation on an atomic lattice that was introduced by P. Podio-Guidugli in Ric. Mat. 55 (2006) 105-118.
Colli, Pierluigi +2 more
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Asymptotic thermal quark masses and the entropy of QCD in the large-N_f limit [PDF]
, 2005 We study the thermodynamics of QCD in the limit of large flavor number (N_f) and test the proposal to resum the physics of hard thermal loops (HTL) through a nonperturbative expression for the entropy obtained from a Phi-derivable two-loop approximation.
A. Rebhan +7 more
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, 2007 Auscher, McIntosh and Tchamitchian studied the heat kernels of second order elliptic operators in divergence form with complex bounded measurable coefficients on $\mathbb{R}^n$.
Kim, Seick
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A Note on Doubly Nonlinear Parabolic Systems with Unilateral Constraint
, 2011 We prove the existence and uniqueness of the solution to the doubly nonlinear parabolic systems with mixed boundary conditions. Due to the unilateral constraint the problem comes as a variational inequality.
Beneš, Michal
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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
doaj +1 more source
On degenerate reaction-diffusion epidemic models with mass action or standard incidence mechanism
European Journal of Applied MathematicsIn this paper, we consider reaction-diffusion epidemic models with mass action or standard incidence mechanism and study the impact of limiting population movement on disease transmissions.
Rachidi B. Salako, Yixiang Wu
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Global analytic expansion of solution for a class of linear parabolic systems with coupling of first order derivatives terms [PDF]
, 2009 We derive global analytic representations of fundamental solutions for a class of linear parabolic systems with full coupling of first order derivative terms where coefficient may depend on space and time.
Kampen, Joerg
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