Null Boundary Controllability for some Biological and Chemical Diffusion Problems

Equidistribution grids for two-parameter convection–diffusion boundary-value problems

In this article, we propose an adaptive grid based on mesh equidistribution principle for two-parameter convection-diffusion boundary value problems with continuous and discontinuous data. A numerical algorithm based on an upwind finite difference operator and an appropriate adaptive grid is constructed. Truncation errors are derived for both continuous and discontinuous problems. Parameter uni...

global results on some nonlinear partial differential equations for direct and inverse problems

در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...

On the null-controllability of diffusion equations

Null Controllability with Vanishing Energy for boundary control systems

The paper [PZ03] (E. Priola and J. Zabczyk, Null controllability with vanishing energy, SIAM J. Control Optim. 2003) introduces and studies the concept of null controllability with vanishing energy (NCVE) for distributed control systems in Hilbert space. More precisely, in [PZ03] we obtain a characterization of linear, null controllable systems, for which an arbitrary initial state can be trans...

Null Controllability for Parabolic Equations with Dynamic Boundary Conditions

We prove null controllability for linear and semilinear heat equations with dynamic boundary conditions of surface diffusion type. The results are based on a new Carleman estimate for this type of boundary conditions.