Existence and uniqueness results for the 2-D dissipative quasi-geostrophic equation
β Scribed by Jiahong Wu
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 386 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
In this note, by using a well-known commutator estimate, we give a new regularity criterion for the 2D dissipative quasi-geostrophic equations in the critical and supercritical cases.
## Abstract A nonβlinear integroβdifferential equation modelling coagulation and fragmentation is investigated using the theory of strongly continuous semigroups of operators. Under the assumptions that the coagulation kernel is bounded and the overall rate of fragmentation satisfies a linear growt
An initial-value problem modelling coagulation and fragmentation processes is studied. The results of earlier papers are extended to models where either one or both of the rates of coagulation and fragmentation depend on time. An abstract integral equation, involving the solution operator to the lin