Global well-posedness and exponential decay rates for a KdV–Burgers equation with
indefinite damping - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals …

Solvability of Cauchy's problem in R 2 for subcritical quasi-geostrophic equation is
discussed here in two phase spaces; L p (R 2) with p> 2 2 α− 1 and H s (R 2) with s> 1. A …

In this paper we consider the long time behavior of solutions of a version of gKdV equation
on the real line. The existence of the global attractor in H2 (R) is proved when the force f …

Abstract We consider the Navier–Stokes equation (NS) in dimensions two and three as limits
of the fractional approximations. In 2-D the NS problem is critical with respect to the standard …

We consider the Dirichlet boundary problem for semilinear fractional Schrödinger equation
with subcritical nonlinear term. Local and global in time solvability and regularity properties …

In this paper, we study the long time behavior of solutions to a weakly dissipative fractional
Korteweg de Vries (KdV) equation on the real line R. The main difficulty lies in that the …

This self-contained book covers the theory of semilinear equations with sectorial operator
going back to the studies of Yosida, Henry, and Pazy, which are deeply extended nowadays …

In this paper we are concerned with the well-posedness and the exponential stabilization of
the generalized Korteweg–de Vries–Burgers equation, posed on the whole real line, under …

An initial–boundary value problem in a strip with homogeneous Dirichlet boundary
conditions for two-dimensional Zakharov–Kuznetsov–Burgers equation is considered …

In this work, we are interested in the finite fractal dimensionality of the global attractor for a
weakly damped Kordeweg‐de Vries (KdV) equation. For the KdV equation with periodic …