👉 Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + ...

Description: 👉 Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f ...

Abstract: It is known that synchronization of (identical) coupled finite-dimensional linear systems is characterized by the spectrum of the Laplacian matrix and stability properties of the isolated ...

We study the heat kernel and the Green’s function on the infinite supercritical percolation cluster in dimension d ≥ 2 and prove a quantitative homogenization theorem for these functions with an ...

Parabolic partial differential equations (PDEs) play a pivotal role in modelling processes that involve diffusion and thermal dynamics. Over recent decades, the study of their controllability – the ...

We use the formalism of Fourier transformation to derive a functional calculus for the generator of an abstract group. As an application we obtain a new direct solution of Cauchy's problem for ...

Abstract: We consider the problem of finding an input signal which transfers a linear boundary controlled 1-D parabolic partial differential equation with spatially varying coefficients from a given ...

While universal formulas exist for every other phase transition (liquid-to-gas, gas-to-liquid, even solid-to-gas), no such formula exists for predicting when a solid melts into a liquid. A new study ...

In the present article, optimal control problems for linear parabolic partial differential equations (PDEs) with time-dependent coefficient functions are considered. One of the common approach in ...

Royalty-free licenses let you pay once to use copyrighted images and video clips in personal and commercial projects on an ongoing basis without requiring additional payments each time you use that ...