Free Boundary Problems Concerning the Interaction of Elastic Shells with Viscous or Invicid Fluids, the Flows in Porous Media with Non-Uniform Porosity(1/2)

Project Details


We study a series of theoretical problems in PDEs starting with the problem of finding adiffeomorphism, as well as the estimates of its time derivatives, between two H^k domain for k >n/2 with prescribed Jacobian and boundary data, where the Jacobian is assumed to betime-dependent. The existence of such a diffeomorphism enables us to study the well-posedness ofthe free boundary problems using the ALE formulation without destroying the volume preservingstructure. We will use such a diffeomorphism to study the interaction between fluids (viscous orinvicid) and elastic shells, the incompressible Euler equation without surface tension, and theMuskat problem with variable permeability.
Effective start/end date1/08/1631/07/17

UN Sustainable Development Goals

In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This project contributes towards the following SDG(s):

  • SDG 14 - Life Below Water
  • SDG 16 - Peace, Justice and Strong Institutions
  • SDG 17 - Partnerships for the Goals


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