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Uniqueness of the 2D Euler equation on a corner domain with non-constant vorticity around the corner

https://doi.org/10.1088/1361-6544/ac586a

Agrawal, Siddhant; Nahmod, Andrea R (May 2022, Nonlinearity)

Abstract We consider the 2D incompressible Euler equation on a corner domain Ω with angle νπ with 1 2 < ν < 1 . We prove that if the initial vorticity ω 0 ∈ L 1 (Ω) ∩ L ∞ (Ω) and if ω 0 is non-negative and supported on one side of the angle bisector of the domain, then the weak solutions are unique. This is the first result which proves uniqueness when the velocity is far from Lipschitz and the initial vorticity is non-constant around the boundary.
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Random tensors, propagation of randomness, and nonlinear dispersive equations

https://doi.org/10.1007/s00222-021-01084-8

Deng, Yu; Nahmod, Andrea R.; Yue, Haitian (May 2022, Inventiones mathematicae)

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Uniqueness of the 2D Euler equation on a corner domain with non-constant vorticity around the corner

Siddhant Agrawal and Andrea R. Nahmod (January 2022, Nonlinearity)

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Optimal Local Well-Posedness for the Periodic Derivative Nonlinear Schrödinger Equation

https://doi.org/10.1007/s00220-020-03898-8

Deng, Yu; Nahmod, Andrea R.; Yue, Haitian (June 2021, Communications in Mathematical Physics)
null (Ed.)
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Invariant Gibbs measure and global strong solutions for the Hartree NLS equation in dimension three

https://doi.org/10.1063/5.0045062

Deng, Yu; Nahmod, Andrea R.; Yue, Haitian (March 2021, Journal of Mathematical Physics)
A rigorous derivation of the Hamiltonian structure for the nonlinear Schrödinger equation

https://doi.org/10.1016/j.aim.2020.107054

Mendelson, Dana; Nahmod, Andrea R.; Pavlović, Nataša; Rosenzweig, Matthew; Staffilani, Gigliola (May 2020, Advances in Mathematics)

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Almost sure boundedness of iterates for derivative nonlinear wave equations

https://doi.org/10.4310/CAG.2020.v28.n4.a5

Chanillo, Sagun; Czubak, Magdalena; Mendelso, Dana; Nahmod, Andrea; Staffilani, Gigliola (January 2020, Communications in Analysis and Geometry)
null (Ed.)
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An infinite sequence of conserved quantities for the cubic Gross–Pitaevskii hierarchy on $$\mathbb {R}$$

https://doi.org/10.1090/tran/7726

Mendelson, Dana; Nahmod, Andrea R.; Pavlović, Nataša; Staffilani, Gigliola (July 2019, Transactions of the American Mathematical Society)

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Randomness and Nonlinear Evolution Equations

https://doi.org/10.1007/s10114-019-8297-5

Nahmod, Andrea R.; Staffilani, Gigliola (June 2019, Acta Mathematica Sinica, English Series)

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