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 …
There are several techniques in the classical case for some integro-differential equations involving the concept of entropy to show some properties of the solution. In this work, we deal with the $p$-adic scattering equation. We adapt these methods …
We establish necessary or sufficient conditions to guarantee that skew Poincaré–Birkhoff–Witt extensions are NI or NJ rings. Our results extend those corresponding for skew polynomial rings and establish similar properties for other families of …
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.
En esta investigación se examina una urbanización de bajos ingresos para analizar viviendas con variaciones en el diseño inicial hechas por los propietarios. La Ciudad Jardín es una urbanización de vivienda de interés social (VIS) ubicada en una zona …
We consider the pseudodifferential operator defined as 𝐻𝛼𝜑 and study the Markov process associated to this operator. We also study the first passage time problem associated to 𝐻𝛼 for 𝑟
Proper health management is essential for productivity in duck farming. However, there is limited information on the effect of management conditions on rates of metabolic problems and parasitic infections in anatids. We evaluated the rates of …
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 …