Attractors for Two‐Dimensional Waves with Homogeneous Hamiltonians of Degree 0
Copyright policy )Attractors for Two‐Dimensional Waves with Homogeneous Hamiltonians of Degree 0
AbstractIn domains with topography, inertial and internal waves exhibit interesting features. In particular, numerical and lab experiments show that, in two dimensions, for generic forcing frequencies, these waves concentrate on attractors. The goal of this paper is to analyze mathematically this behavior, using tools from spectral theory and microlocal analysis.© 2019 Wiley Periodicals, Inc.
attractors, FOS: Physical sciences, Physics - Classical Physics, PDEs in connection with fluid mechanics, 35B34, 530, 510, Mathematics - Spectral Theory, Mourre theory, Mathematics - Analysis of PDEs, [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], [MATH.MATH-SP] Mathematics [math]/Spectral Theory [math.SP], FOS: Mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [PHYS.MECA.MEFL] Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], Attractors, [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], Spectral theory and eigenvalue problems for partial differential equations, [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph], [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], Spectral Theory (math.SP), homogeneous Hamiltonians, Mathematical Physics, two-dimensional waves, Classical Physics (physics.class-ph), 58J40, Mathematical Physics (math-ph), pseudo-differential operator, attractor, 76B55, internal waves, 35Q30, 76B70, 35Q35, [MATH.MATH-SP]Mathematics [math]/Spectral Theory [math.SP], Analysis of PDEs (math.AP)
attractors, FOS: Physical sciences, Physics - Classical Physics, PDEs in connection with fluid mechanics, 35B34, 530, 510, Mathematics - Spectral Theory, Mourre theory, Mathematics - Analysis of PDEs, [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], [MATH.MATH-SP] Mathematics [math]/Spectral Theory [math.SP], FOS: Mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [PHYS.MECA.MEFL] Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], Attractors, [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], Spectral theory and eigenvalue problems for partial differential equations, [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph], [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], Spectral Theory (math.SP), homogeneous Hamiltonians, Mathematical Physics, two-dimensional waves, Classical Physics (physics.class-ph), 58J40, Mathematical Physics (math-ph), pseudo-differential operator, attractor, 76B55, internal waves, 35Q30, 76B70, 35Q35, [MATH.MATH-SP]Mathematics [math]/Spectral Theory [math.SP], Analysis of PDEs (math.AP)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).32 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!