Objective
In recent years degenerate parabolic equations of fourth order became important for modelling diffusion processes in Physics and Material Sciences. For example, the spreading of viscous droplets on plain surfaces, the phase separation of binary mixtures and the formation of dislocation patterns during plastic deformation are described by equations the archetypus of which is
Ut + div(|u|n (triangle, triangle) u) = 0.
In one space dimension, Bertsch et al. (BBP, '94) got results concerning regularity, non-uniqueness and qualitative behaviour of solutions. In (G. '94), first results concerning existence and non-negativity in higher space dimensions could be obtained. The objectifives of the project are as follows:
? Optimal results about positivity and evolution of the solution's support in higher space dimensions
? L (infinity)- and C (alpha)- estimates in higher space dimensions ? Formulation of conditions at the free boundary which guarantee uniqueness of solutions
(BBP, '94) E.Beretta M.Bertsch R.DalPasso: Non-negative Solutions of a Fourth Order Non-linear Degenerate Parabolic Equation, to appear in Arch. Rat. Mech. Anal.
(G. '94) G.Grun: Degenerate Parabolic Equations of Fourth Order and a Plasticity Model unith Non-local Hardening to appear in Zeitschrift fuer Analysis und ihre Anwendungen
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
This project has not yet been classified with EuroSciVoc.
Be the first one to suggest relevant scientific fields and help us improve our classification service
You need to log in or register to use this function
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Data not available
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
00133 ROMA
Italy
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.