Sari: Memoirs of the American Mathematical Society
(Ilmumisaeg: 09-May-2019, PDF+DRM, Kirjastus: American Mathematical Society, ISBN-13: 9781470453343)
The authors consider the energy super critical semilinear heat equation \partial _{t}u=\Delta u+u^{p}, x\in \mathbb{R}^3, p>5. The authors first revisit the construction of radially symmetric self similar solutions performed through an ode appro...Loe edasi...
Sari: CBMS Regional Conference Series in Mathematics
(Ilmumisaeg: 30-Aug-2018, PDF+DRM, Kirjastus: American Mathematical Society, ISBN-13: 9781470448035)
The fast growing field of mathematical biology addresses biological questions using mathematical models from areas such as dynamical systems, probability, statistics, and discrete mathematics. This book considers models that are described by systems...Loe edasi...
(Ilmumisaeg: 30-Dec-2018, PDF+DRM, Kirjastus: American Mathematical Society, ISBN-13: 9781470450212)
Many physical problems involve diffusive and convective (transport) processes. When diffusion dominates convection, standard numerical methods work satisfactorily. But when convection dominates diffusion, the standard methods become unstable, and spe...Loe edasi...
Sari: Memoirs of the American Mathematical Society
(Ilmumisaeg: 30-Jun-2020, PDF+DRM, Kirjastus: American Mathematical Society, ISBN-13: 9781470458065)
The author considers semilinear parabolic equations of the form u_t=u_xx+f(u),\quad x\in \mathbb R,t>0, where f a C^1 function. Assuming that 0 and \gamma >0 are constant steady states, the author investigates the large-time behavior...Loe edasi...