Travelling waves in two-dimensional reactive Boussinesq systems with no-slip boundary conditions

Peter Constantin; Marta Lewicka; Lenya Ryzhik

doi:10.1088/0951-7715/19/11/006

Travelling waves in two-dimensional reactive Boussinesq systems with no-slip boundary conditions

Peter Constantin, Marta Lewicka, Lenya Ryzhik

Research output: Contribution to journal › Review article › peer-review

20 Scopus citations

Abstract

We consider systems of reactive Boussinesq equations in two-dimensional strips that are not aligned with gravity's direction. We prove that for any width of such strips and for arbitrary Rayleigh and Prandtl numbers, the systems admit smooth, non-planar travelling wave solutions with the fluid's velocity satisfying no-slip boundary conditions.

Original language	English (US)
Article number	006
Journal	Nonlinearity
Volume	19
Issue number	11
DOIs	https://doi.org/10.1088/0951-7715/19/11/006
State	Published - Nov 1 2006

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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10.1088/0951-7715/19/11/006

Cite this

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abstract = "We consider systems of reactive Boussinesq equations in two-dimensional strips that are not aligned with gravity's direction. We prove that for any width of such strips and for arbitrary Rayleigh and Prandtl numbers, the systems admit smooth, non-planar travelling wave solutions with the fluid's velocity satisfying no-slip boundary conditions.",

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AU - Constantin, Peter

AU - Lewicka, Marta

AU - Ryzhik, Lenya

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Y1 - 2006/11/1

N2 - We consider systems of reactive Boussinesq equations in two-dimensional strips that are not aligned with gravity's direction. We prove that for any width of such strips and for arbitrary Rayleigh and Prandtl numbers, the systems admit smooth, non-planar travelling wave solutions with the fluid's velocity satisfying no-slip boundary conditions.

AB - We consider systems of reactive Boussinesq equations in two-dimensional strips that are not aligned with gravity's direction. We prove that for any width of such strips and for arbitrary Rayleigh and Prandtl numbers, the systems admit smooth, non-planar travelling wave solutions with the fluid's velocity satisfying no-slip boundary conditions.

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U2 - 10.1088/0951-7715/19/11/006

DO - 10.1088/0951-7715/19/11/006

M3 - Review article

AN - SCOPUS:33846103881

SN - 0951-7715

VL - 19

JO - Nonlinearity

JF - Nonlinearity

IS - 11

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Travelling waves in two-dimensional reactive Boussinesq systems with no-slip boundary conditions

Abstract

All Science Journal Classification (ASJC) codes

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