Euler equations for incompressible ideal fluids Page 1 Russian Mathematical Surveys Euler
equations for incompressible ideal fluids To cite this article: Claude Bardos and Edriss Titi …

For some deterministic nonlinear PDEs on the torus whose solutions may blow up in finite
time, we show that, under suitable conditions on the nonlinear term, the blow-up is delayed …

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations Page
1 Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrödinger Equations …

Abstract We consider the Kuramoto–Sivashinsky equation in two space dimensions. We
establish the first proof of global existence of solutions in the presence of a linearly growing …

Abstract The Kuramoto–Sivashinsky equations (KSE) arise in many diverse scientific areas,
and are of much mathematical interest due in part to their chaotic behavior, and their …

We address the global solvability of the Kuramoto–Sivashinsky equation in a rectangular
domain 0, L_1 * 0, L_2 0, L 1× 0, L 2. We give sufficient conditions on the width L_2 L 2 of …

We propose and prove several regularity criteria for the 2D and 3D Kuramoto–Sivashinsky
equation, in both its scalar and vector forms. In particular, we examine integrability criteria for …

The initial-boundary-value problem (IBVP) and the Cauchy problem for the Kuramoto–
Sivashinsky equation and other related 2mth-order semilinear parabolic partial differential …

Trivial stationary solutions to the Kuramoto–Sivashinsky and certain nonlinear elliptic equations
Page 1 J. Differential Equations 231 (2006) 755–767 www.elsevier.com/locate/jde Trivial …

In light of the question of finite-time blowup versus global well-posedness of solutions to
problems involving nonlinear partial differential equations, we provide several cautionary …