4. Mathematics
  5. Analysis of PDEs

Yvan Martel

Mathematics – Analysis of PDEs

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Asymptotic stability of solitons for the Benjamin-Ono equation

Mathematics – Analysis of PDEs
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Asymptotic stability of solitons of the gKdV equations with general nonlinearity

Mathematics – Analysis of PDEs
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Blow up for the critical gKdV equation I: dynamics near the soliton

Mathematics – Analysis of PDEs
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Blow up for the critical gKdV equation II: minimal mass dynamics

Mathematics – Analysis of PDEs
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Construction of multi-soliton solutions for the L2-supercritical gKdV and NLS equations

Mathematics – Analysis of PDEs
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