Results 31 to 40 of about 2,948 (219)

Riemann Invariants and Rank-k Solutions of Hyperbolic Systems

, 2006
In this paper we employ a "direct method" in order to obtain rank-k solutions of any hyperbolic system of first order quasilinear differential equations in many dimensions.
Huard, Benoit, Grundland, A. Michel
core   +1 more source

Holder Solvability of Quasi-Linear Parabolic Systems in the Divergent Form

Pan-American Journal of Mathematics
In this article, we consider a quasilinear parabolic system under fair general conditions with form-boundary conditions on the singular coefficients. We establish the requirements on the structural coefficients of the parabolic system under which the ...
Mykola Yaremenko
doaj   +1 more source

Quasilinear systems with memory kernels

Journal of Mathematical Analysis and Applications, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Stabilization of Heterogeneous Quasilinear Traffic Flow System with Disturbances

, 2022
In this paper, we investigate the problem of boundary stabilization for a heterogeneous quasilinear traffic flow system with disturbances in the congested regime.
Prieur, Christophe, Zhang, Liguo, Guan, Lina   +2 more
core  

Strongly quasilinear parabolic systems

, 2023
Using the theory of Young measures, we prove the existence of solutions to a strongly quasilinear parabolic system Mathematics Subject Classification (2010): 35K55, 35D30, 46E30 Received 29 April 2020; Accepted 29 June ...
AZROUL, Elhoussine, Elhoussine Azroul, Farah Balaadich, BALAADICH, Farah   +3 more
core   +1 more source

State Estimation for Heterogeneous Quasilinear Traffic Flow System with Disturbances

, 2022
This paper studies state estimation for a heterogeneous quasilinear traffic flow system with disturbances at the inlet of a considered road section. On the basis of the backstepping method, a quasilinear observer is designed for the quasilinear traffic ...
Prieur, Christophe, Zhang, Liguo, Guan, Lina   +2 more
core  

Quasilinear parabolic systems

Journal of Differential Equations, 1976
AbstractParabolic systems of partial differential equations are developed and applications are discussed. The systems are quasilinear in divergence form with high-order coefficient matrices which are neither symmetric nor sparse. Weak existence, uniqueness, and stability are established for an appropriate initial-boundary value problem.
Cannon, John R., Ford, Wayne T., Lair, Alan V.   +2 more
openaire   +1 more source

A quasi-linear parabolic system of chemotaxis

Abstract and Applied Analysis, 2006
We consider a quasi-linear parabolic system with respect to unknown functions u and v on a bounded domain of n-dimensional Euclidean space. We assume that the diffusion coefficient of u is a positive smooth function A(u), and that the diffusion ...
Takasi Senba, Takasi Suzuki
doaj   +2 more sources

On the existence of a conditionally periodic solution of one quasilinear differential system in the critical case

Вестник КазНУ. Серия математика, механика, информатика, 2019
In the theory of nonlinear oscillations one often encounters conditionally periodic oscillations resulting from the superposition of several oscillations with frequencies incommensurable with each other.
Zh. Suleimenov
doaj   +1 more source

Quasilinear hyperbolic systems [PDF]

Communications in Mathematical Physics, 1979
We construct global solutions for quasilinear hyperbolic systems and study their asymptotic behaviors. The systems include models of gas flows in a variable area duct and flows with a moving source. Our analysis is based on a numerical scheme which generalizes the Glimm scheme for hyperbolic conservation laws.
openaire   +3 more sources