ABSTRACT: In this paper we study the viscosity analysis of the spatially homogeneous Boltzmann equation for Maxwellian molecules. We first show that the global existence in time of the mild solution ...

ABSTRACT: In this paper we study the viscosity analysis of the spatially homogeneous Boltzmann equation for Maxwellian molecules. We first show that the global existence in time of the mild solution ...

This Python program offers a comprehensive exploration of a homogeneous nonlinear differential equation, providing insights into its dynamics, stability, and sensitivity to initial conditions. By ...

Abstract: A geometric homogeneity of evolution equation in a Banach space is introduced. Scalability property of solutions of homogeneous evolution equations is proven. Some qualitative ...

Abstract: In this paper, we address the problem of finite-dimensional boundary stabilization of the 1 D reaction-diffusion equation. Using the modal decomposition approach, we propose a ...