A priori bounds and equicontinuity of orbits for the intermediate long wave equation

2025/06/30 by Harrop-Griffiths, Benjamin, Killip, Rowan, Visan, Monica
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2506.23868

Abstract

We prove uniform-in-time a priori H^s bounds for solutions to the intermediate long wave equation posed both on the line and on the circle, covering the range -\frac12

Citations

• Global well-posedness and equicontinuity for mKdV in modulation spaces
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• Nonlocal models for nonlinear, dispersive waves

Related

• On the long time behavior of solutions to the Intermediate Long Wave\n equation
• The lifespan of small data solutions for Intermediate Long Wave equation (ILW)
• Intermediate long wave equation in negative Sobolev spaces
• Deep-water limit of the intermediate long wave equation in L²
• Global well-posedness for the ILW equation in H^s(\mathbbT) for s>-\frac12