In this work, we construct and analyze a new fully discrete Lagrangian-Eulerian numerical method for the treatment of dynamics of conservation laws with nonlocal flux and influence of the source term in the solution. The scheme is based on the …
In this paper, we show the local well-posedness for the Cauchy problem for the equation of the Nagumo type in this equation (1) in the Sobolev spaces $H^s(\mathbb{R})$ . If $D0$, the local well-posedness is given for $s 1/2$ and for $s 3/2$ if …
In the present paper, we study the distribution of the return points in the fibers for a random nonuniformly expanding dynamical system, preserving an ergodic probability. We also show the abundance of nonlacunarity of hyperbolic times that are …
Las leyes de conservación son generalmente usadas en modelos que involucran principios de conservación (leyes físicas), tales como conservación de masa, momento lineal y de energía. Algunos ejemplos importantes de tales sistemas se encuentran en …
In this paper, we propose a time-dependent viscous system and by using the vanishing viscosity method we show the existence of solutions for the Riemann problem to a particular 2x2 system of conservation laws with linear damping.
In this paper, we propose a time-dependent viscous system and by using the vanishing viscosity method we show the existence of delta shock solutions for a generalized zero-pressure gas dynamics system with linear damping.
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 …