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Antonio Esposito: Nonlinear Degenerate Cross Diffusion Systems with Nonlocal Interaction

Antonio Esposito: Nonlinear Degenerate Cross Diffusion Systems with Nonlocal Interaction

Hausdorff Center for Mathematics via YouTube Direct link

Nonlinear diffusion + nonlocal interactions

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Nonlinear diffusion + nonlocal interactions

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Classroom Contents

Antonio Esposito: Nonlinear Degenerate Cross Diffusion Systems with Nonlocal Interaction

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  1. 1 Introduction
  2. 2 Nonlinear diffusion + nonlocal interactions
  3. 3 Many species
  4. 4 Setting
  5. 5 Examples of A
  6. 6 Assumptions on the interaction potentials
  7. 7 Goal: Existence of weak solutions
  8. 8 Semi-Implicit JKO: our case
  9. 9 Piecewise constant interpolation
  10. 10 Flow Interchange
  11. 11 Conclusion

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