We obtain characterizations of nearly strong convexity and nearly very convexity by using the dual concept of S and WS points,related to the so-called Rolewicz’s property(α).We give a characterization of those point...We obtain characterizations of nearly strong convexity and nearly very convexity by using the dual concept of S and WS points,related to the so-called Rolewicz’s property(α).We give a characterization of those points in terms of continuity properties of the identity mapping.The connection between these two geometric properties is established,and finally an application to approximative compactness is given.展开更多
In this article the instabilities appearing in a liquid layer are studied numerically by means of the linear stability method.The fluid is confined in an annular pool and is heated from below with a linear decreasing ...In this article the instabilities appearing in a liquid layer are studied numerically by means of the linear stability method.The fluid is confined in an annular pool and is heated from below with a linear decreasing temperature profile from the inner to the outer wall.The top surface is open to the atmosphere and both lateral walls are adiabatic.Using the Rayleigh number as the only control parameter,many kind of bifurcations appear at moderately low Prandtl numbers and depending on the Biot number.Several regions on the Prandtl-Biot plane are identified,their boundaries being formed from competing solutions at codimension-two bifurcation points.展开更多
基金supported in part by the National Natural Science Foundation of China (11671252,11771248)supported by Proyecto MTM2014-57838-C2-2-P (Spain)the Universitat Politècnica de València (Spain)
文摘We obtain characterizations of nearly strong convexity and nearly very convexity by using the dual concept of S and WS points,related to the so-called Rolewicz’s property(α).We give a characterization of those points in terms of continuity properties of the identity mapping.The connection between these two geometric properties is established,and finally an application to approximative compactness is given.
文摘In this article the instabilities appearing in a liquid layer are studied numerically by means of the linear stability method.The fluid is confined in an annular pool and is heated from below with a linear decreasing temperature profile from the inner to the outer wall.The top surface is open to the atmosphere and both lateral walls are adiabatic.Using the Rayleigh number as the only control parameter,many kind of bifurcations appear at moderately low Prandtl numbers and depending on the Biot number.Several regions on the Prandtl-Biot plane are identified,their boundaries being formed from competing solutions at codimension-two bifurcation points.
