We first obtain the Lp–Lq estimates of solutions to the Cauchy problem for one-dimensional
damped wave equation [Formula: see text] corresponding to that for the parabolic equation …

This paper deals with the Cauchy problem for the compressible Euler equations with time-
dependent damping, where the time-vanishing damping in the form of μ (1+ t) λ makes some …

For the 2\times2 hyperbolic p-system with damping, its asymptotic profile has been
traditionally regarded as the self-similar solution, the so-called diffusion wave, to the …

We establish weighted L2-estimates for the wave equation with variable damping utt− Δu+
aut= 0 in Rn, where a (x)⩾ a0 (1+| x|)− α with a0> 0 and α∈[0, 1). In particular, we show that …

In this paper, we study the n-dimensional (n\geq1) bipolar hydrodynamic model for
semiconductors in the form of Euler–Poisson equations. In the 1-D case, when the difference …

For a bipolar hydrodynamic model of semiconductors in the form of Euler–Poisson
equations with Dirichlet or Neumann boundary conditions, in this paper we first heuristically …

In this paper, we study the Cauchy problem for the hyperbolic p-system with time-gradually-
degenerate damping term− 1 (1+ t) λ u for 0⩽ λ< 1, and show that the damped p-system has …

This paper is concerned with the p-system of hyperbolic conservation laws with nonlinear
damping. When the constant states are small, the solutions of the Cauchy problem for the …

In this paper, we study the one-dimensional Euler–Poisson equations of bipolar
hydrodynamic model for semiconductor device with time-dependent damping effect− J (1+ t) …

This paper is concerned with the existence and stability of phase transition steady states to a
quasi‐linear hyperbolic–parabolic system of chemotactic aggregation, which was proposed …