Zobrazeno 1 - 10
of 385
pro vyhledávání: '"35L50"'
Autor:
Abreu, Eduardo, Chiri, Maria Teresa, De la cruz, Richard, Juajibioy, Juan, Lambert, Wanderson
In this work, we present a semi-discrete scheme to approximate solutions to the scalar LWR traffic model with spatially discontinuous flux, described by the equation $u_t + (k(x)u(1-u))_x = 0$. This approach is based on the Lagrangian-Eulerian method
Externí odkaz:
http://arxiv.org/abs/2412.06692
Autor:
Secchi, Paolo
We consider the initial-boundary value problem in the quarter space for the system of equations of ideal Magneto-Hydrodynamics for compressible fluids with perfectly conducting wall boundary conditions. On the two parts of the boundary the solution s
Externí odkaz:
http://arxiv.org/abs/2411.09352
Autor:
Bucci, Francesca, Eller, Matthias
This article is concerned with the optimal boundary control of the Maxwell system. We consider a Bolza problem, where the quadratic functional to be minimized penalizes the electromagnetic field at a given final time. Since the state is weighted in t
Externí odkaz:
http://arxiv.org/abs/2411.03963
Existing theoretical stabilization results for linear, hyperbolic multi-dimensional problems are extended to the discretized multi-dimensional problems. In contrast to existing theoretical and numerical analysis in the spatially one-dimensional case
Externí odkaz:
http://arxiv.org/abs/2410.21890
Existence and explicit formula for a semigroup related to some network problems with unbounded edges
Autor:
Błoch, Adam
In this paper we consider an initial-boundary value problem related to some network dynamics where the underlying graph has unbounded edges. We show that there exists a C0-semigroup for this problem using a general result from the literature. We also
Externí odkaz:
http://arxiv.org/abs/2409.11903
Autor:
Joseph, Kayyunnapara Divya
Publikováno v:
Published online in February 2023
In this paper we study a system of equations which appear in the modelling of many physical phenomena. Initially this system appeared in description of the large scale structure formation. Recently it is derived as a second order queueing model. We c
Externí odkaz:
http://arxiv.org/abs/2408.09907
Autor:
Joseph, Kayyunnapara Divya
Publikováno v:
Mathematical Methods in the Applied Science, 46, 12 (2023) 12794-12810
This paper is concerned with the study of interaction of waves originating from the Riemann problem centred at two different points for a system of equations modelling propagation of elastic waves. The system consists of two equations for $(u,\sigma)
Externí odkaz:
http://arxiv.org/abs/2408.09897
Publikováno v:
Differential Equations and Dynamical Systems Vol 30, 3 (2022) 585-595
This paper is a continuation of our previous paper \cite{d1} on the initial boundary value problem for a nonconservative system appearing in elastodynamics in the space time domain $x>0,t>0$. There, the initial and boundary data were assumed to lie o
Externí odkaz:
http://arxiv.org/abs/2408.09875
Publikováno v:
Acta Mathematica Scientia. Vol 38, 3 (2018) 1043-1056
This paper is concerned with the initial boundary value problem for a nonconservative system of hyperbolic equation appearing in elastodynamics in the space time domain $x > 0, t > 0$. The number of boundary conditions to be prescribed at the boundar
Externí odkaz:
http://arxiv.org/abs/2408.08748
Autor:
Secchi, Paolo
Publikováno v:
Commun. Math. Anal. Appl., 3 (2024), pp. 168-198
We consider the initial-boundary value problem in the halfspace for the system of equations of ideal Magneto-Hydrodynamics with a perfectly conducting wall boundary condition. We show the convergence of solutions to the solution of the equations of i
Externí odkaz:
http://arxiv.org/abs/2406.11425