Flows on Metric Graphs with General Boundary Conditions

نویسندگان

چکیده

In this note we study the generation of C0-semigroups by first order differential operators on Lp(R+,Cℓ)×Lp([0,1],Cm) with general boundary conditions. many cases are able to characterize property in terms invertibility a matrix associated The abstract results used well-posedness transport equations non-compact metric graphs.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Stochastic flows on metric graphs

We study a simple stochastic differential equation (SDE) driven by one Brownian motion on a general oriented metric graph whose solutions are stochastic flows of kernels. Under some conditions, we describe the laws of all solutions. This work is a natural continuation of [17, 8, 10] where some particular metric graphs were considered.

متن کامل

Boundary-to-Boundary Flows in Planar Graphs

We give an iterative algorithm for finding the maximum flow between a set of sources and sinks that lie on the boundary of a planar graph. Our algorithm uses only O(n) queries to simple data structures, achieving an O(n logn) running time that we expect to be practical given the use of simple primitives. The only existing algorithm for this problem uses divide and conquer and, in order to achie...

متن کامل

On Liquid Crystal Flows with Free-slip Boundary Conditions

In this paper, we study a coupled dynamic system describing nematic liquid crystal flows. The system was motivated by the Ericksen-Leslie equations modeling the flow of nematic liquid crystals. The purpose of studying the simplified system is to understand the flow properties of more complicated materials, the material configurations , as well as the interactions between them. Unlike in the pre...

متن کامل

Spectral determinant on graphs with generalized boundary conditions

The spectral determinant of the Schrödinger operator (−∆+V (x)) on a graph is computed for general boundary conditions. (∆ is the Laplacian and V (x) is some potential defined on the graph). Applications to restricted random walks on graphs are discussed.

متن کامل

Stochastic flows and an interface SDE on metric graphs

This paper consists in the study of a stochastic differential equation on a metric graph, called an interface SDE (ISDE). To each edge of the graph is associated an independent white noise, which drives (ISDE) on this edge. This produces an interface at each vertex of the graph. We first do our study on star graphs with N ≥ 2 rays. The case N = 2 corresponds to the perturbed Tanaka’s equation r...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2022

ISSN: ['0022-247X', '1096-0813']

DOI: https://doi.org/10.1016/j.jmaa.2022.126214