Dissipative Korteweg–de Vries description of Marangoni–Bénard oscillatory convection
From MaRDI portal
Publication:4001007
DOI10.1063/1.857868zbMath0745.76077OpenAlexW2031245017MaRDI QIDQ4001007
Alfredo N. Garazo, Manuel G. Velarde
Publication date: 26 September 1992
Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.857868
Absolute and convective instability and stability in hydrodynamic stability (76E15) Solitary waves for incompressible inviscid fluids (76B25) Free convection (76R10)
Related Items
On localization solutions of an equation governing Benard--Marangoni convection ⋮ Pattern formation in large-scale Marangoni convection with deformable interface ⋮ Cnoidal wave trains and solitary waves in a dissipation-modified Korteweg-de Vries equation ⋮ Order parameter equations for long-wavelength instabilities ⋮ Dissipative solitons ⋮ Strain kinks in an elastic rod embedded in a viscoelastic medium ⋮ Stability of periodic waves governed by the modified Kawahara equation ⋮ Boussinesq-type system of equations in the Bénard-Marangoni system ⋮ Interaction between short-scale Marangoni convection and long-scale deformational instability ⋮ A three-dimensional description of solitary waves and their interaction in Marangoni–Bénard layers ⋮ On dynamic excitation of Marangoni instability ⋮ The Cauchy problem for the dissipation-modified Kadomtsev-Petviashvili equation ⋮ Periodical solution to the nonlinear dissipative equation for surface waves in a convecting liquid layer ⋮ Symmetry reductions for a dissipation-modified KdV equation ⋮ The influence of vibration on Marangoni waves in two-layer films ⋮ Simplest equation method to look for exact solutions of nonlinear differential equations ⋮ Solitary waves and periodic waves in a perturbed KdV equation ⋮ Exact solutions of the equation for surface waves in a convecting fluid ⋮ Three-dimensional oscillatory long-wave Marangoni convection in a binary liquid layer with the Soret effect: Bifurcation analysis ⋮ Evolution equation for bidirectional surface waves in a convecting fluid ⋮ Solitons in Viscous Flows ⋮ Nonlinear waves and turbulence in Marangoni convection ⋮ Curious properties of soliton induced by Marangoni instability in shallow Belousov-Zhabotinsky reaction ⋮ Dispersive-dissipative solitons in nonlinear solids. ⋮ Stability of a falling liquid film in the presence of interfacial viscous stress ⋮ Coexistence of the solitary and periodic waves in convecting shallow water fluid ⋮ Interaction of lumps and dark solitons in the Mel'nikov equation ⋮ Stability of periodic waves generated by long-wavelength instabilities in isotropic and anisotropic systems ⋮ SOLITON-LIKE WAVES ON DISSIPATIVE TODA LATTICES ⋮ Nonlinear Marangoni waves in a two-layer film in the presence of gravity ⋮ The evolution and interaction of Marangoni-Bénard solitary waves ⋮ AUTOWAVES AND SOLITONS IN A THREE-COMPONENT REACTION–DIFFUSION SYSTEM ⋮ GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR THE CAUCHY PROBLEM OF A DISSIPATIVE BOUSSINESQ-TYPE EQUATION ⋮ Pulse evolution for Marangoni-Bénard convection. ⋮ Periodic solutions of the non-integrable convective fluid equation
Cites Work
