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: Based on the notion of generalized homogeneity, a new algorithm of feedback control design is developed for a plant modeled by a linear evolution equation in a Hilbert space with a possibly ...

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 ...

This is a preview. Log in through your library . Abstract The Burger's equation with a small dissipation and a given drift is considered on an interval. In the limit of small dissipation, this ...