On the low regularity of the Benney-Lin equation

DOI10.1016/j.jmaa.2007.07.045zbMath1165.35043OpenAlexW2051763744MaRDI QIDQ2465871

Junfeng Li, Chen, Wengu

Publication date: 10 January 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.07.045

zbMATH Keywords

well-posednessinitial value problemill-posednessBenney-Lin equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (6)

Analysis of 2 + 1 diffusive–dispersive PDE arising in river braiding ⋮ On low regularity of the Ostrovsky, Stepanyams and Tsimring equation ⋮ WELL-POSEDNESS FOR A FAMILY OF PERTURBATIONS OF THE KdV EQUATION IN PERIODIC SOBOLEV SPACES OF NEGATIVE ORDER ⋮ Application of He's homotopy perturbation and He's variational iteration methods for solution of Benney–Lin equation ⋮ Global well-posedness and exponential decay for fifth-order Korteweg-de Vries equation posed on the finite domain ⋮ On the solutions for a Benney-Lin type equation

Cites Work

• Unnamed Item
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• On the Benney-Lin and Kawahara equations
• The initial-value problem for the generalized Burger's equation
• On the Korteweg-de Vries-Kuramoto-Sivashinsky equation
• Generalized Strichartz inequalities for the wave equation
• Global existence of solutions for the Cauchy problem of the Kawahara equation with \(L^2\) initial data
• Solitary and Periodic Solutions of Nonlinear Nonintegrable Equations
• Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
• Finite amplitude side-band stability of a viscous film
• Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
• A bilinear estimate with applications to the KdV equation
• Nonuniqueness and Uniqueness in the Initial-Value Problem for Burgers’ Equation
• Long Waves on Liquid Films

This page was built for publication: On the low regularity of the Benney-Lin equation