AI Chat AI Image Generator AI Video Text to Speech

Uniqueness of a solution to a general class of discrete system defined on connected graphs

07/25/2022

∙

by Avetik Arakelyan, et al.

∙

∙

In this work we prove uniqueness result for an implicit discrete system defined on connected graphs. Our discrete system is motivated from a certain class of spatial segregation of reaction-diffusion equations.

page 1

page 2

page 3

page 4

research

∙ 09/21/2021

Virtual element method for the system of time dependent nonlinear convection-diffusion-reaction equation

In this work, we have discretized a system of time-dependent nonlinear c...

0 M. Arrutselvi, et al. ∙

research

∙ 09/23/2021

Modeling calcium dynamics in neurons with endoplasmic reticulum: existence, uniqueness and an implicit-explicit finite element scheme

Like many other biological processes, calcium dynamics in neurons contai...

0 Qingguang Guan, et al. ∙

research

∙ 12/23/2021

Well-posedness of weak solution for a nonlinear poroelasticity model

In this paper, we study the existence and uniqueness of weak solution of...

0 Zhihao Ge, et al. ∙

research

∙ 12/03/2020

Carleman estimates and controllability results for fully-discrete approximations of 1-D parabolic equations

In this paper, we prove a Carleman estimate for fully-discrete approxima...

0 Víctor Hernández-Santamaría, et al. ∙

research

∙ 07/25/2018

Diffusion and consensus on weakly connected directed graphs

Let G be a weakly connected directed graph with asymmetric graph Laplaci...

0 J. J. P. Veerman, et al. ∙

research

∙ 11/16/2021

On algebraically stabilized schemes for convection-diffusion-reaction problems

An abstract framework is developed that enables the analysis of algebrai...

0 Volker John, et al. ∙

research

∙ 11/16/2020

Sequence Positivity Through Numeric Analytic Continuation: Uniqueness of the Canham Model for Biomembranes

We prove solution uniqueness for the genus one Canham variational proble...

0 Stephen Melczer, et al. ∙