note

Porous Medium Equation, Fast Diffusion Equationにおける質量保存則について(その2)

では, 次に$${0 < m < 1}$$の場合であるFast Diffusion Equationの質量保存則を示す. 次の定理がしたがう. Theorem 2(Mass conservation law for the Fast diffusion equation) $${0 < m < 1}$$, $${u_0 \in L^1(\R^N)}$$, $${u_0 \geqslant ...
note

Porous Medium Equation, Fast Diffusion Equationにおける質量保存則について(その1)

を考え, 問題(1)の解の定義を与える. $${u = u(x,t)}$$が問題(1)のVery weak solutionであるとは, 次をみたすことである. $${u \in C([0 ...
IEEE

Boundary Output Feedback Stabilization of Nonlinear Diffusion Equations

Abstract: This paper studies the problem of output feedback stabilization of a nonlinear diffusion equation, generally referred to as the generalized porous media equation. This equation occurs in a ...
Risk

Numerical simulation and applications of the convection–diffusion–reaction equation ...

This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...