The study of Korteweg–de Vries (KdV) type equations has progressed significantly, particularly in understanding the analytic properties of their solutions and the framework of well-posedness. These ...

The compressible Navier-Stokes equations remain a cornerstone in the study of fluid dynamics, encapsulating the evolution of fluids whose density variations are significant. Recent advancements have ...

In this paper, we consider a coupled Lamé system with a viscoelastic damping in the first equation. We prove well-posedness by using Faedo-Galerkin method and establish an exponential decay result by ...

Proceedings of the American Mathematical Society, Vol. 147, No. 6 (JUNE 2019), pp. 2545-2559 (15 pages) In this note, we prove local-in-time well-posedness for a fully dispersive Boussinesq system ...