[書籍][B] Spaces of measures and their applications to structured population models
C Düll, P Gwiazda, A Marciniak-Czochra… - 2021 - books.google.com
Structured population models are transport-type equations often applied to describe
evolution of heterogeneous populations of biological cells, animals or humans, including …
evolution of heterogeneous populations of biological cells, animals or humans, including …
Structured populations, cell growth and measure valued balance laws
A well-posedness theory of measure valued solutions to balance laws is presented.
Nonlinear semigroups are constructed by means of the operator splitting algorithm. This …
Nonlinear semigroups are constructed by means of the operator splitting algorithm. This …
Crowd dynamics and conservation laws with nonlocal constraints and capacity drop
In this paper we model pedestrian flows evacuating a narrow corridor through an exit by a
one-dimensional hyperbolic conservation law with a point constraint in the spirit of [Colombo …
one-dimensional hyperbolic conservation law with a point constraint in the spirit of [Colombo …
Hyperbolic balance laws with a non local source
This paper is devoted to hyperbolic systems of balance laws with non local source terms.
The existence, uniqueness and Lipschitz dependence proved here comprise previous …
The existence, uniqueness and Lipschitz dependence proved here comprise previous …
Differential equations in metric spaces with applications
This paper proves the local well posedness of differential equations in metric spaces under
assumptions that allow to comprise several different applications. We consider below a …
assumptions that allow to comprise several different applications. We consider below a …
Convergence of the EBT method for a non-local model of cell proliferation with discontinuous interaction kernel
We consider the EBT algorithm (a particle method) for the nonlocal equation with a
discontinuous interaction kernel. The main difficulty lies in the low regularity of the kernel …
discontinuous interaction kernel. The main difficulty lies in the low regularity of the kernel …
Non local balance laws in traffic models and crystal growth
Non local balance laws in traffic models and crystal growth Page 1 ZAMM · Z. Angew. Math.
Mech. 87, No. 6, 449 – 461 (2007) / DOI 10.1002/zamm.200710327 Non local balance laws in …
Mech. 87, No. 6, 449 – 461 (2007) / DOI 10.1002/zamm.200710327 Non local balance laws in …
On a class of hyperbolic balance laws
Consider an n× n system of hyperbolic balance laws with coinciding shock and rarefaction
curves. This note proves the well-posedness in the large of this system, provided there exists …
curves. This note proves the well-posedness in the large of this system, provided there exists …
Wave front tracking in systems of conservation laws
RM Colombo - Applications of mathematics, 2004 - dml.cz
Applications of Mathematics Page 1 Applications of Mathematics Rinaldo M. Colombo Wave
front tracking in systems of conservation laws Applications of Mathematics, Vol. 49 (2004), No …
front tracking in systems of conservation laws Applications of Mathematics, Vol. 49 (2004), No …
A simple counterexample related to the Lie–Trotter product formula
C Canzi, G Guerra - Semigroup Forum, 2012 - Springer
A simple counterexample related to the Lie–Trotter product formula Page 1 Semigroup Forum
(2012) 84:499–504 DOI 10.1007/s00233-011-9326-6 RESEARCH ARTICLE A simple …
(2012) 84:499–504 DOI 10.1007/s00233-011-9326-6 RESEARCH ARTICLE A simple …