Free Boundary Problems and Related Topics

by Cambridge University

Free boundary problems are today considered as one of the most important directions in the mainstream of the analysis of partial differential equations (PDEs), with an abundance of applications in various sciences and real world problems. In the last two decades, various new ideas, techniques, and methods have been developed, and new important, challenging problems in physics, engineering, industry, finance, biology, and other areas have arisen.The topics of this programme are at the forefront of current exciting developments. We realise that there have been few activities on free boundary problems in recent decades in the UK. We strongly believe that a thematic programme at the Newton Institute will have a huge impact on the development of FBPs from all points of view. The programme is directed towards theory, numerics and applications. It will further enhance the interaction between UK mathematicians and top international researchers in this field and strengthen the UK expertise in FBPs.Read more at www.newton.ac.uk/programmes/FRB/

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Recent Episodes
  • A classical Perron method for existence of smooth solutions to boundary value & obstacle problems for boundary-degenerate elliptic operators via holomorphic map
    Jul 2, 2014 – 01:06:00
  • A nonstandard PDE system of viscous Cahn-Hilliard type related to a model for phase segregation
    Apr 10, 2014 – 52:58
  • A phase field approach for shape optimization in fluids
    Jul 11, 2014 – 24:13
  • A stable discretization for the simulation of two-phase flow
    Jul 11, 2014 – 27:10
  • A transportation approach to random matrices.
    May 23, 2014 – 01:08:00
  • An Introduction to Free Boundary Problems in MHD
    May 23, 2014 – 01:12:00
  • An overdetermined Free Boundary Problem with non constant boundary conditions
    Apr 2, 2014 – 01:05:00
  • Computational methods for an optimal partition problem on surfaces
    Jul 11, 2014 – 28:19
  • Confinement in the framework of Schrödinger equations: a revision of the classical "particle in a box" example and further free boundary results
    May 23, 2014 – 47:51
  • Convergence of optimal control problems governed by second kind parabolic variational inequalities
    Jul 11, 2014 – 23:52
  • Curvature Flows with Free Boundaries
    Jul 11, 2014 – 29:59
  • Derivation of FBs for tumor growth - 1
    Jan 8, 2014 – 01:02:00
  • Derivation of FBs for tumor growth - 2
    Jan 8, 2014 – 57:25
  • Derivation of FBs for tumor growth - 3
    Jan 9, 2014 – 45:21
  • Derivation of FBs for tumor growth - 4
    Jan 10, 2014 – 01:04:00
  • Deterministic Pattern Formation in Diffusion-Limited Systems
    Jul 11, 2014 – 38:55
  • Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces.
    Jul 11, 2014 – 57:45
  • Does p matter in the p-obstacle problem?
    Apr 30, 2014 – 56:21
  • Dynamics of an Euler beam with unilateral constraints
    Jul 11, 2014 – 27:01
  • Energy minimizing maps with free boundaries
    Apr 8, 2014 – 01:02:00
  • Existence and Qualitative Properties of Grounds States to the Choquard-Type Equations
    Jul 11, 2014 – 27:48
  • Feedback, Lineages and Cancer Therapy
    Jul 11, 2014 – 37:53
  • First and second variation of domain functionals and applications to problems with Robin boundary conditions.
    Mar 11, 2014 – 54:17
  • Flatness implies smoothness for the porous medium equation
    Apr 8, 2014 – 49:26
  • Free boundaries in fractional filtration equations
    Jul 11, 2014 – 34:50
  • Free Boundary Problems in Biology and Medicine
    Jul 11, 2014 – 08:51
  • Free boundary problems in glacial hydrology
    Jul 11, 2014 – 27:09
  • Free Boundary Problems in Models for Bacterial Biofilms
    Jul 11, 2014 – 26:20
  • Free boundary problems in random environments
    May 28, 2014 – 49:52
  • Free Boundary Problems in Transonic Flow: Introudction I
    Apr 23, 2014 – 01:10:00
  • Free Boundary Problems in Transonic Flow: Introudction II
    Feb 11, 2014 – 52:24
  • Free boundary regularity in the parabolic Signorini problem
    May 7, 2014 – 50:23
  • Free Boundary Value Problems in Contact Mechanics
    Jul 11, 2014 – 24:54
  • Free Boundary-Value Problems for Liquid Crystals
    Jul 11, 2014 – 32:42
  • From Boltzmann to Euler: Hilbert's 6th problem revisited.
    Mar 11, 2014 – 54:57
  • Generalized Neumann solutions for the two-phase fractional Lam\'e-Clapeyron-Stefan problems
    Jul 11, 2014 – 21:05
  • Geometric approaches to water waves and free surface flows - 1
    Jan 10, 2014 – 01:02:00
  • Geometric approaches to water waves and free surface flows - 2
    Jan 10, 2014 – 59:05
  • Geometric approaches to water waves and free surface flows - 3
    Jan 15, 2014 – 01:03:00
  • Geometric approaches to water waves and free surface flows - 4
    Jan 15, 2014 – 49:08
  • Global Bifurcation of Steady Gravity Water Waves with Critical Layers
    May 28, 2014 – 55:43
  • Harnack's inequality for the inhomogeneous p(x)−laplace equation
    May 9, 2014 – 51:32
  • How the Geometry of the Cell Boundary Couples Cellular Blebbing and Actin Based Protrusions
    Jul 11, 2014 – 34:05
  • Interface singularities for the Euler equations.
    May 16, 2014 – 01:08:00
  • Isoperimetric inequalities and free discontinuity problems
    Jul 11, 2014 – 28:52
  • Mathematical Modelling of Tissue Growth in a Perfusion Bioreactor
    Jul 11, 2014 – 22:15
  • Modelling and simulation of cell motility with surface finite elements
    Apr 4, 2014 – 50:25
  • Modelling the Growth of Tyndall Stars
    Jul 2, 2014 – 50:06
  • Modelling the Spatial Temporal Dynamics of Small Monomeric G Proteins
    Jul 11, 2014 – 33:59
  • Moving boundary problems in cell biology
    Jul 11, 2014 – 21:25
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