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On the Domain of Convergence of Spherical Harmonic Expansions

Communications in mathematical physics, 2022, Vol.389 (2), p.875-897

2022

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Divergence beneath the Brillouin sphere and the phenomenology of prediction error in spherical harmonic series approximations of the gravitational field

Reports on progress in physics, 2024-06, Vol.87 (7), p.78301

2024

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Non-convergence of the spherical harmonic expansion of gravitational potential below the Brillouin sphere: The continuous case

Journal of mathematical physics, 2021-10, Vol.62 (10)

2021

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A direct method to find Stokes multipliers in closed form for P_1 and more general integrable systems

Transactions of the American Mathematical Society, 2016-11, Vol.368 (11), p.7579-7621

2016

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A proof for the mode stability of a self-similar wave map

Nonlinearity, 2016-08, Vol.29 (8), p.2451-2473

2016

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From the Taylor series of analytic functions to their global analysis

Nonlinear analysis, 2015-06, Vol.119, p.106-114

2015

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An Extracurricular Project-Based Training Course in Innovation and Entrepreneurship Delivered to a Transdisciplinary Group of Students in Engineering, Social Sciences, Arts and Medicine

Education sciences, 2023-10, Vol.13 (10), p.967

2023

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Decay estimates for one-dimensional wave equations with inverse power potentials

Transactions of the American Mathematical Society, 2015-05, Vol.367 (5), p.3705-3732

2015

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Analytical Approximation of the Blasius Similarity Solution with Rigorous Error Bounds

SIAM journal on mathematical analysis, 2014-01, Vol.46 (6), p.3782-3813

2014

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Gamow Vectors and Borel Summability in a Class of Quantum Systems

Journal of statistical physics, 2011-08, Vol.144 (4), p.846-871

2011

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Behavior of lacunary series at the natural boundary

Advances in mathematics (New York. 1965), 2009-11, Vol.222 (4), p.1370-1404

2009

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A quasi-solution approach to nonlinear problems-the case of the Blasius similarity solution

Fluid dynamics research, 2014-06, Vol.46 (3), p.1-19

2014

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The Lifetime of Shape Oscillations of a Bubble in an Unbounded, Inviscid, and Compressible Fluid with Surface Tension

SIAM journal on mathematical analysis, 2013-01, Vol.45 (5), p.2924-2936

2013

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On the formation of singularities of solutions of nonlinear differential systems in antistokes directions

Inventiones mathematicae, 2001-09, Vol.145 (3), p.425-485

2001

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Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation vol. I

2011

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Sharp Hardy–Leray inequality for axisymmetric divergence-free fields

Calculus of variations and partial differential equations, 2008-08, Vol.32 (4), p.523-532

2008

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Geometric construction and analytic representation of Julia sets of polynomial maps

Nonlinearity, 2011-04, Vol.24 (4), p.1311-1327

2011

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On the Construction of Particle Distributions with Specified Single and Pair Densities

The journal of physical chemistry. B, 2004-12, Vol.108 (51), p.19614-19618

2004

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Resonance Theory for Schrödinger Operators

Communications in mathematical physics, 2001-11, Vol.224 (1), p.133-152

2001

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Preferred reversal paths caused by a heterogeneous conducting layer at the base of the mantle

Journal of Geophysical Research - Solid Earth, 2004-06, Vol.109 (B6), p.B06101-n/a

2004

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A DIRECT METHOD TO FIND STOKES MULTIPLIERS IN CLOSED FORM FOR P1 AND MORE GENERAL INTEGRABLE SYSTEMS

Transactions of the American Mathematical Society, 2016-11, Vol.368 (11), p.7579-7621

2016

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Tronquée Solutions of the Painlevé Equation PI

Constructive approximation, 2015-06, Vol.41 (3), p.467-494

2015

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Short Time Existence and Borel Summability in the Navier-Stokes Equation in ℝ3

Communications in partial differential equations, 2009-07, Vol.34 (8), p.785-817

2009

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Proof of the Dubrovin conjecture and analysis of the tritronquée solutions of PI

Duke mathematical journal, 2014-03, Vol.163 (4)

2014

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Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation vol. II

2011

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On the Domain of Convergence of Spherical Harmonic Expansions

Divergence beneath the Brillouin sphere and the phenomenology of prediction error in spherical harmonic series approximations of the gravitational field

Non-convergence of the spherical harmonic expansion of gravitational potential below the Brillouin sphere: The continuous case

A direct method to find Stokes multipliers in closed form for P_1 and more general integrable systems

A proof for the mode stability of a self-similar wave map

From the Taylor series of analytic functions to their global analysis

An Extracurricular Project-Based Training Course in Innovation and Entrepreneurship Delivered to a Transdisciplinary Group of Students in Engineering, Social Sciences, Arts and Medicine

Decay estimates for one-dimensional wave equations with inverse power potentials

Analytical Approximation of the Blasius Similarity Solution with Rigorous Error Bounds

Gamow Vectors and Borel Summability in a Class of Quantum Systems

Behavior of lacunary series at the natural boundary

A quasi-solution approach to nonlinear problems-the case of the Blasius similarity solution

The Lifetime of Shape Oscillations of a Bubble in an Unbounded, Inviscid, and Compressible Fluid with Surface Tension

On the formation of singularities of solutions of nonlinear differential systems in antistokes directions

Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation vol. I

Sharp Hardy–Leray inequality for axisymmetric divergence-free fields

Geometric construction and analytic representation of Julia sets of polynomial maps

On the Construction of Particle Distributions with Specified Single and Pair Densities

Resonance Theory for Schrödinger Operators

Preferred reversal paths caused by a heterogeneous conducting layer at the base of the mantle

A DIRECT METHOD TO FIND STOKES MULTIPLIERS IN CLOSED FORM FOR P1 AND MORE GENERAL INTEGRABLE SYSTEMS

Tronquée Solutions of the Painlevé Equation PI

Short Time Existence and Borel Summability in the Navier-Stokes Equation in ℝ3

Proof of the Dubrovin conjecture and analysis of the tritronquée solutions of PI

Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation vol. II

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