Zobrazeno 1 - 10
of 102
pro vyhledávání: '"Mizukami, Masaaki"'
We consider the fully parabolic, spatially heterogeneous chemotaxis-growth system \begin{align*} \begin{cases} u_t = \Delta u - \nabla\cdot(u\nabla v) + \kappa(x)u-\mu(x)u^2, \\ v_t = \Delta v - v + u \end{cases} \end{align*} in bounded domains $\Ome
Externí odkaz:
http://arxiv.org/abs/2406.11746
Autor:
Chiyo, Yutaro, Mizukami, Masaaki
This paper deals with the fully parabolic chemotaxis-convection model with sensitivity functions for tumor angiogenesis, \begin{align*} \begin{cases} u_t=\Delta u-\nabla \cdot (u\chi_1(v)\nabla v) +\nabla \cdot (u\chi_2(w)\nabla w), &x \in \Omega,\ t
Externí odkaz:
http://arxiv.org/abs/2304.11800
We discuss the influence of possible spatial inhomogeneities in the coefficients of logistic source terms in parabolic-elliptic chemotaxis-growth systems of the form \begin{align*} u_t &= \Delta u - \nabla\cdot(u\nabla v) + \kappa(x)u-\mu(x)u^2, 0 &=
Externí odkaz:
http://arxiv.org/abs/2209.14184
This paper deals with the two-species chemotaxis-competition models \begin{align*} \begin{cases} u_t = d_1 \Delta u - \chi_1 \nabla \cdot (u \nabla w) + \mu_1 u (1- u^{\kappa_1-1} - a_1 v^{\lambda_1-1}), &\quad x \in \Omega,\ t>0,\\ % v_t = d_2 \Delt
Externí odkaz:
http://arxiv.org/abs/2208.03638
This paper deals with the fully parabolic attraction-repulsion chemotaxis system with signal-dependent sensitivities, \begin{align*} \begin{cases} u_t=\Delta u-\nabla \cdot (u\chi(v)\nabla v) +\nabla \cdot (u\xi(w)\nabla w), &x \in \Omega,\ t>0,\\[1.
Externí odkaz:
http://arxiv.org/abs/2104.00381
Global existence and boundedness of classical solutions of the chemotaxis--consumption system \begin{align*} n_t &= \Delta n - \nabla \cdot (n \nabla c), \\ 0 &= \Delta c - nc, \end{align*} under no-flux boundary conditions for $n$ and Robin-type bou
Externí odkaz:
http://arxiv.org/abs/2004.09262
Publikováno v:
In Nonlinear Analysis: Real World Applications October 2023 73
This paper deals with the quasilinear degenerate chemotaxis system with flux limitation \begin{align*} \begin{cases} u_t = \nabla\cdot\left(\dfrac{u^p \nabla u}{\sqrt{u^2 + |\nabla u|^2}} \right) -\chi \nabla\cdot\left( \dfrac{u^q\nabla v}{\sqrt{1 +
Externí odkaz:
http://arxiv.org/abs/1903.00125
This paper deals with the quasilinear degenerate chemotaxis system with flux limitation \begin{equation*} \begin{cases} u_t = \nabla\cdot\left(\dfrac{u^p \nabla u}{\sqrt{u^2 + |\nabla u|^2}} \right) -\chi \nabla\cdot\left(\dfrac{u^q\nabla v}{\sqrt{1
Externí odkaz:
http://arxiv.org/abs/1903.00124
This paper deals with the Keller--Segel system with signal-dependent sensitivity \begin{align*} &u_t = \Delta u - \chi \nabla \cdot (uS(v)\nabla v), &v_t = \Delta v - v + u, \end{align*} where $\chi>0$ and $S$ is a given function generalizing the sen
Externí odkaz:
http://arxiv.org/abs/1810.08876