We study Radon measure‐valued solutions of the Cauchy–Dirichlet problem for∂ tu= Δ ϕ
(u) ∂_tu=Δϕ(u) for a continuous, nondecreasing, at most powerlike ϕ ϕ. We prove well …

We proposed rigorous definitions of Radon measure solutions for boundary value problems
of steady compressible Euler equations which modeling hypersonic-limit inviscid flows …

We prove existence for a class of signed Radon measure-valued entropy solutions of the
Cauchy problem for a first order scalar hyperbolic conservation law in one space dimension …

We prove well-posedness of the Cauchy problem for a first order scalar hyperbolic
conservation law in one space dimension, where the singular part of the initial data is a finite …

We prove existence and uniqueness of Radon measure-valued solutions of the Cauchy
problem for a first order scalar hyperbolic conservation law in one space dimension, the …

Evolution and interaction of plane waves of the multidimensional zero-pressure gas
dynamics system leads to the study of the corresponding one dimensional system. In this …

We prove existence and uniqueness for a class of signed Radon measure-valued entropy
solutions of the Cauchy problem for a first order scalar hyperbolic conservation law in one …

We investigate the mixing time of the asymmetric Zero Range process on the segment with a
non-decreasing rate. We show that the cutoff holds in the totally asymmetric case with a …

Let H be a bounded and Lipschitz continuous function. We consider discontinuous viscosity
solutions of the Hamilton–Jacobi equation U t+ H (U x)= 0 and signed Radon measure …

In this article, we consider the one-dimensional zero-pressure gas dynamics
system\[u_t+\left ({u^ 2}/{2}\right) _x= 0,\\rho_t+(\rho u) _x= 0\] in the upper-half plane with a …