3 problems

Let $m_1,m_2$ be the masses, $\tau_1,\tau_2$ the time-scale parameters, and $\tau_1,\tau_2>0$. Let $\tau_1,\tau_2>0$ denote the parabolic case of the system…

Consider problem (1.1), with nonnegative initial data $(u_0,v_0)$, exponents $1<p,q<2$, and parameters satisfying … A solution is non-extinction if it does not become extinct in fi…

Consider the parabolic cross-diffusion system under assumptions -, with cross-diffusion parameter $\gamma>0$ and $\xi\in(\delta,1)$. Let $\mathfrak{S}$ be the continuum of positive…