We consider a robust class of random non-uniformly expanding local homeomorphisms and Hölder continuous potentials with small variation. For each element of this class we develop the thermodynamical formalism and prove the existence and uniqueness of …
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 …