Results 1 to 10 of about 50 (48)
T5 configurations and hyperbolic systems
Communications in Contemporary Mathematics, 2023 In this paper, we study the rank-one convex hull of a differential inclusion associated to entropy solutions of a hyperbolic system of conservation laws. This was introduced in [B. Kirchheim, S. Müller and V. Šverák, Studying Nonlinear PDE by Geometry in Matrix Space (Springer, 2003), Sec.
Johansson C. J. P., Tione R.
openaire +6 more sources
Computability, noncomputability, and hyperbolic systems [PDF]
Applied Mathematics and Computation, 2012 In this paper we study the computability of the stable and unstable manifolds of a hyperbolic equilibrium point. These manifolds are the essential feature which characterizes a hyperbolic system. We show that (i) locally these manifolds can be computed, but (ii) globally they cannot (though we prove they are semi-computable).
Daniel Silva Graça +2 more
openaire +2 more sources
Fractional-hyperbolic systems [PDF]
Fractional Calculus and Applied Analysis, 2013 We describe a class of evolution systems of linear partial differential equations with the Caputo-Dzhrbashyan fractional derivative of order $α\in (0,1)$ in the time variable $t$ and the first order derivatives in spatial variables $x=(x_1,...,x_n)$, which can be considered as a fractional analogue of the class of hyperbolic systems.
openaire +3 more sources
Weakly hyperbolic systems by symmetrization [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2019 We study hyperbolic first order systems and propose a new method proving Gevrey well posedness, constructing a symmetrizer, motivated by a special Lyapunov function for linear ODE. The proof not only gives a priori estimates straightforward so simply but also clarifies some effects coming from the spectral structures other than the multiplicities of ...
Ferruccio Colombini +2 more
openaire +2 more sources
Necessary conditions for hyperbolic systems
Bulletin des Sciences Mathématiques, 2002 This paper deals with the Cauchy problem for first order hyperbolic system \(L(x,{\mathcal D})\) having characteristic points of higher multiplicity. In other words, the determinant of the principal symbol has multiple characteristic points. The authors consider the case when at a multiple characteristic point the principal symbol of the system has ...
Bove, Antonio, Nishitani, Tatsuo
openaire +1 more source
On a hyperbolic-parabolic chemotaxis system
Mathematical Biosciences and Engineering, 2023 <abstract><p>Stability of steady state solutions associated with initial and boundary value problems of a coupled fluid-reaction-diffusion system in one space dimension is analyzed. It is shown that under Dirichlet-Dirichlet type boundary conditions, non-trivial steady state solutions exist and are locally stable when the system parameters ...
Hongyun Peng, Kun Zhao
openaire +3 more sources
On the One Class of Hyperbolic Systems [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2006 This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
Adler, V.E., Shabat, A.B.
openaire +4 more sources
Hyperbolicity and Rigidity for Fibred Partially Hyperbolic Systems
Journal of Dynamics and Differential EquationsEvery volume-preserving centre-bunched fibred partially hyperbolic system with 2-dimensional centre either (1) has two distinct centre Lyapunov exponents, or (2) exhibits an invariant continuous line field (or pair of line fields) tangent to the centre leaves, or (3) admits a continuous conformal structure on the centre leaves invariant under both the ...
Chakraborty, Sankhadip, Viana, Marcelo
openaire +3 more sources
On the uniform hyperbolicity of some nonuniformly hyperbolic systems [PDF]
Proceedings of the American Mathematical Society, 2002 We give sufficient conditions for the uniform hyperbolicity of certain nonuniformly hyperbolic dynamical systems. In particular, we show that local diffeomorphisms that are nonuniformly expanding on sets of total probability (probability one with respect to every invariant probability measure) are necessarily uniformly expanding.
Alves, José F. +2 more
openaire +3 more sources
Hyperbolic structures and root systems [PDF]
, 2010 We discuss the construction of a one parameter family of complex hyperbolic structures on the complement of a toric mirror arrangement associated with a simply laced root system. Subsequently we find conditions for which parameter values this leads to ball quotients.
Heckman, Gert, Looijenga, E.
openaire +4 more sources