Modelling adhesion-independent cell migration [PDF]
, 2020 A two-dimensional mathematical model for cells migrating without adhesion capabilities is presented and analyzed. Cells are represented by their cortex, which is modelled as an elastic curve, subject to an internal pressure force.
Jankowiak, Gaspard +4 more
core +5 more sources
From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem [PDF]
, 2014 The notion of Nash equilibria plays a key role in the analysis of strategic interactions in the framework of $N$ player games. Analysis of Nash equilibria is however a complex issue when the number of players is large.
Blanchet, Adrien, Carlier, Guillaume
core +6 more sources
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.
core +5 more sources
Symbolic algorithms for the Painlevé test, special solutions, and recursion operators for nonlinear PDEs [PDF]
, 2005 This paper discusses the algorithms and implementations of three MATHEMATICA packages for the study of integrability and the computation of closed-form solutions of nonlinear polynomial PDEs.
Baldwin, D., Hereman, W., Sayers, J.
core +1 more source
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
core +2 more sources
Fractional diffusion in Gaussian noisy environment [PDF]
, 2015 We study the fractional diffusion in a Gaussian noisy environment as described by the fractional order stochastic partial equations of the following form: $D_t^\alpha u(t, x)=\textit{B}u+u\cdot W^H$, where $D_t^\alpha$ is the fractional derivative of ...
Hu, Guannan, Hu, Yaozhong
core +3 more sources
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
core +5 more sources
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
core +1 more source
, 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
core +2 more sources
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
core +1 more source