Full regularity for a class of degenerated parabolic systems in two spatial variables

1999 ◽  
Vol 99 (4) ◽  
pp. 517-539 ◽  
Author(s):  
J. Frehse ◽  
G. A. Seregin
Keyword(s):  
Parabolic Systems ◽  
Spatial Variables ◽  
Full Regularity

Orlicz Regularity for Non-Divergence Parabolic Systems with Partially Vmo Coefficients

2015 ◽  
Vol 116 (1) ◽  
pp. 141
Author(s):  
Maochun Zhu ◽  
Pengcheng Niu ◽  
Xiaojing Feng
Keyword(s):  
Strong Solutions ◽  
Parabolic Systems ◽  
Spatial Variables ◽  
Vmo Coefficients

This work treats the interior Orlicz regularity for strong solutions of a class of non-divergence parabolic systems with coefficients just measurable in time and VMO in the spatial variables.

Community dynamics in highland watersheds

2017 ◽  
Author(s):  
Dean Jacobsen ◽  
Olivier Dangles
Keyword(s):  
High Altitude ◽  
Community Dynamics ◽  
Community Organization ◽  
Current Knowledge ◽  
Central Process ◽  
Spatial Variables ◽  
Research Areas ◽  
Local Extinctions ◽  
Metacommunity Dynamics ◽  
Natural Communities

Chapter 6 presents the interaction between space and time in determining the organization of natural communities in high altitude heterogeneous waterscapes. After explaining why high altitude waters represent suitable models for examining metacommunity organization, the chapter focuses on dispersal—a central process to allow colonization and establishment of populations in remote localities and to counter local extinctions. Community organization patterns are then described for a variety of organisms living in high altitude waters, from microbes to invertebrates to fish and birds. These patterns reveal that both environmental and spatial variables are generally involved in species assembling. Examples of studies on directional spatial processes (e.g. through wind and water flow), waterscape genetics, and temporal variability (synchrony/asynchrony) are highlighted as promising research areas to increase the current knowledge on high altitude metacommunity dynamics.

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