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25 March 2026

  • [VAL] Charles Johnson (The College of William & Mary, Williamsburg, Virginia, USA)

    25 March 2026 - 6 April 2026 - 

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26 March 2026

  • [VAL] Charles Johnson (The College of William & Mary, Williamsburg, Virginia, USA)

    25 March 2026 - 6 April 2026 - 

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  • [SAn] Gauge transform for the Korteweg-de Vries equation and well-posedness below the H^{-1}-scale | Simão Correia (Instituto Superior Técnico, Universidade de Lisboa)

    26 March 2026 - 15:00 - 16:00

    In this talk, I will present a new formulation of the Korteweg-de Vries equation (KdV) on the real line, via a gauge transform. While KdV and the gauged equation are equivalent for smooth solutions, the latter is better-behaved for initial data at lower regularities. In particular, the admissible regularities go beyond the $H^{-1}$-scale, which is a well-known threshold for KdV. As a byproduct, by reversing the gauge transform, we are able to improve on the theory for KdV. Additionally, our method is totally independent of the KdV complete integrability structure, and extends to other non-integrable models with quadratic nonlinearities. 
    I will focus mainly on the derivation of the gauged equation: using tree graphs and some basic combinatorics, we will uncover a hidden structure which then gives rise to the announced gauge transform. This is joint work with Andreia Chapouto (CNRS, Monash University, Australia) and João Pedro Ramos (IMPA, Brazil).

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27 March 2026

  • [VAL] Charles Johnson (The College of William & Mary, Williamsburg, Virginia, USA)

    25 March 2026 - 6 April 2026 - 

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28 March 2026

  • [VAL] Charles Johnson (The College of William & Mary, Williamsburg, Virginia, USA)

    25 March 2026 - 6 April 2026 - 

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29 March 2026

  • [VAL] Charles Johnson (The College of William & Mary, Williamsburg, Virginia, USA)

    25 March 2026 - 6 April 2026 - 

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30 March 2026

  • [VAL] Charles Johnson (The College of William & Mary, Williamsburg, Virginia, USA)

    25 March 2026 - 6 April 2026 - 

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31 March 2026

  • [VAL] Charles Johnson (The College of William & Mary, Williamsburg, Virginia, USA)

    25 March 2026 - 6 April 2026 - 

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1 April 2026

  • [VAL] Charles Johnson (The College of William & Mary, Williamsburg, Virginia, USA)

    25 March 2026 - 6 April 2026 - 

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2 April 2026

  • [VAL] Charles Johnson (The College of William & Mary, Williamsburg, Virginia, USA)

    25 March 2026 - 6 April 2026 - 

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3 April 2026

  • [VAL] Charles Johnson (The College of William & Mary, Williamsburg, Virginia, USA)

    25 March 2026 - 6 April 2026 - 

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4 April 2026

  • [VAL] Charles Johnson (The College of William & Mary, Williamsburg, Virginia, USA)

    25 March 2026 - 6 April 2026 - 

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5 April 2026

  • [VAL] Charles Johnson (The College of William & Mary, Williamsburg, Virginia, USA)

    25 March 2026 - 6 April 2026 - 

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6 April 2026

  • [VAL] Charles Johnson (The College of William & Mary, Williamsburg, Virginia, USA)

    25 March 2026 - 6 April 2026 - 

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Conferences & Workshops

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Departamento de Matemática
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PORTUGAL

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