In this work, we study Riemann problems and delta-shock solutions for a nonsymmetric Keyfitz-Kranzer system with a Coulomb-like friction term or linear damping. We show the existence of an intricate delta-shock wave solution and its generalized …
In this paper, we study the Cauchy problem of the isothermal system in a general nozzle with space-dependent friction α(x). First, by using the maximum principle, we obtain the uniform bound ρδ,ε,τ≤M, |mδ,ε,τ|≤M, independent of the time, of the …
In this work, the mechanism for the formation of the delta shock wave is analyzed to deal with interaction of delta shock waves and contact discontinuities for a system of Keyfitz–Kranzer type by means of analysis and solutions of Riemann problems. A …
The existence of global BV solutions for the Aw-Rascle system with linear damping is considered. In order to get approximate solutions we consider the system in Lagrangian coordinates, then by using the wave front tracking method coupling with and …
We consider a class of endomorphisms which contains a set of piecewise partially hyperbolic skew-products with a non-uniformly expanding base map. The aimed transformation preserves a foliation which is almost everywhere uniformly contracted with …
In this paper, we study the Riemann problem for a 2x2 nonstrictly hyperbolic system with linear damping. We introduce the special time-dependent viscosity to obtain approximate solutions. Therefore, we solve the Riemann problem (1.1)–(1.2) by …
The space L(𝑋,𝑌) stands for the Banach space of all bounded linear operators from X to Y endowed with the operator norm. It is shown that 𝑐0(Γ) embeds into (𝑋,𝑌) if and only if 𝑙∞(Γ) embeds into (𝑋,𝑌) or 𝑐0(Γ) embeds into Y. As a consequence, we …
We consider the generalized Riemann problem for the Suliciu re- laxation system in Lagrangian coordinates and we calculate the first-order ex- pansion given by LeFloch and Raviart to verify our results, then we show the explicit solution for the …
This paper is concerned with a hyperbolic system of conservation laws of Keyfitz-Kranzer type. We show the existence of a delta shock wave solution using the vanishing viscosity method. The obtained solution satisfies the generalized Rankine-Hugoniot …
Let 𝐾(𝑛𝐸;𝐹) (resp. 𝑤(𝑛𝐸;𝐹)) denote the subspace of all 𝑃∈(𝑛𝐸;𝐹) which are compact (resp. weakly continuous on bounded sets). We show that if 𝐾(𝑛𝐸;𝐹) contains an isomorphic copy of 𝑐0, then 𝐾(𝑛𝐸;𝐹) is not complemented in (𝑛𝐸;𝐹). Likewise we show …