Green's functions and propagators for the multi-dimensional anisotropic space-time fractional diffusion equation are obtained in integral form. Uniqueness of the solutions is studied in the framework ...
Aggregation-diffusion equations and gradient flows form a dynamic field of study at the intersection of mathematical analysis, statistical mechanics and applied physics. These equations characterise ...
SIAM Journal on Applied Mathematics, Vol. 39, No. 2 (Oct., 1980), pp. 272-289 (18 pages) In this paper we consider the determination of an unknown diffusion coefficient in a nonlinear diffusion ...
Finite volume methods (FVM) have emerged as a crucial numerical framework for approximating diffusion equations in porous media. These schemes discretise the governing partial differential equations ...
Observing nature shows that many temporal and spatial structures are not formed by the outside, but rather by the respective system itself. To study these self-organizing processes is the subject of ...
This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...
Pioneering mathematical formula paves way for exciting advances in health, energy, and food industry
A groundbreaking mathematical equation has been discovered, which could transform medical procedures, natural gas extraction, and plastic packaging production in the future. The new equation, ...
Some results have been hidden because they may be inaccessible to you
Show inaccessible results
Feedback