In this paper,we consider the two-dimensional aggregation equation with the shear flow and time-space nonlocal attractive operator.Without the advection,the solution of the aggregation equation may blow up in finite t...In this paper,we consider the two-dimensional aggregation equation with the shear flow and time-space nonlocal attractive operator.Without the advection,the solution of the aggregation equation may blow up in finite time.We show that the shear flow can suppress the blow-up.展开更多
The very nature of RNA molecule, which separates it from DNA and protein molecules, is sequence-specific recognition through three types of base pairs： G-C, A-U, and G-U pairs. These pairs form RNA＇s secondary struc...The very nature of RNA molecule, which separates it from DNA and protein molecules, is sequence-specific recognition through three types of base pairs： G-C, A-U, and G-U pairs. These pairs form RNA＇s secondary structure, which encodes dynamic and regulatory information about the cell. While DNA nucleotides mostly form a double helix by forming hydrogen bonds between complementary bases, RNA nucleotides are free to interact with each other to form complex structures because of the single- strand nature of RNA.展开更多
基金supported by Shanghai Science and Technology Innovation Action Plan(Grant No.21JC1403600)The work of the second author was partially supported by the National Natural Science Foundation of China(Grant No.11831011)Shanghai Science and Technology Innovation Action Plan(Grant No.21JC1403600).
文摘In this paper,we consider the two-dimensional aggregation equation with the shear flow and time-space nonlocal attractive operator.Without the advection,the solution of the aggregation equation may blow up in finite time.We show that the shear flow can suppress the blow-up.
文摘The very nature of RNA molecule, which separates it from DNA and protein molecules, is sequence-specific recognition through three types of base pairs： G-C, A-U, and G-U pairs. These pairs form RNA＇s secondary structure, which encodes dynamic and regulatory information about the cell. While DNA nucleotides mostly form a double helix by forming hydrogen bonds between complementary bases, RNA nucleotides are free to interact with each other to form complex structures because of the single- strand nature of RNA.
