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2024

Articles

1 - 

On the hydrostatic limit of stably stratified fluids with isopycnal diffusivity

Roberta Bianchini, Vincent Duchêne

Communications in Partial Differential Equations, 2024, 49 (5-6), pp.543-608. ⟨hal-03666916v3⟩

DOI : https://doi.org/10.1080/03605302.2024.2366226

 

2 - 

A divergence-curl result for measures. Application to the two-dimensional ODE's flow

Marc Briane, Juan Casado-Díaz

SIAM Journal on Mathematical Analysis, 2024, 56 (5), pp.6398-6421. ⟨hal-04088840v2⟩

DOI : https://doi.org/10.1137/23M1617539

 

3 - 

Specific properties of the ODE's flow in dimension two versus dimension three

Marc Briane, Loïc Hervé

Journal of Dynamics and Differential Equations, 2024, 36 (1), pp.421-461.

DOI : https://doi.org/10.1007/s10884-022-10154-1

 

4 - 

Around the asymptotic properties of a two-dimensional parametrized Euler flow

Marc Briane

Discrete and Continuous Dynamical Systems - Series A, 2024, 44 (7), pp.1864-1877.

DOI : https://doi.org/10.3934/dcds.2024012

 

5 - 

Scattering and uniform in time error estimates for splitting method in NLS

Rémi Carles, Chunmei Su

Scattering and uniform in time error estimatesfor splitting method in NLS. Foundations of Computational Mathematics, 2024, 24 (2), pp.683-722. ⟨hal-03403443v2⟩

DOI : https://doi.org/10.1007/s10208-022-09600-9

 

6 - 

On the Cauchy problem for logarithmic fractional Schrödinger equation

Rémi Carles, Fangyuan Dong

Portugaliae Mathematica, In press.

 

7 - 

Logarithmic Gross-Pitaevskii equation

Rémi Carles, Guillaume Ferriere

Communications in Partial Differential Equations, 2024, 49 (1-2), pp.88-120. ⟨hal-03790977v3⟩

DOI : https://doi.org/10.1080/03605302.2023.2296924

 

8 - 

Pathological set with loss of regularity for nonlinear Schrödinger equations

Rémi Carles, Louise Gassot

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, In press, ⟨hal-04075293v2⟩

DOI : https://doi.org/10.4171/aihpc/126

 

9 - 

Low regularity solutions to the logarithmic Schrodinger equation

Rémi Carles, Masayuki Hayashi, Tohru Ozawa

Pure and Applied Analysis, 2024, 6 (3), pp.859-871. ⟨hal-04268646v2⟩

DOI : https://doi.org/10.2140/paa.2024.6.859

 

10 - 

On nonlinear effects in multiphase WKB analysis for the nonlinear Schrodinger equation

Rémi Carles

Nonlinearity, 2024, 37 (6), pp.065017. ⟨hal-04198416v4⟩

DOI : https://doi.org/10.1088/1361-6544/ad4505