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Mathematical analysis of Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation

 Anna Rozanova-Pierrat
2006
Pré-publication, Document de travail hal-00112147v1
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Wave propagation and fractal boundary problems: mathematical analysis and applications

 Anna Rozanova-Pierrat
Analysis of PDEs [math.AP]. Université Paris-Saclay, 2020
HDR tel-03060630v1
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Approximation of a compressible Navier-Stokes system by non-linear acoustical models

 Anna Rozanova-Pierrat
DAYS on DIFFRACTION 2015, May 2015, St. Petersburg, Russia. IEEE pp.270--276, 2015, Proceedings of the International Conference “Days on Diffraction 2015”, St. Petersburg, Russia, 978-1-4673-8630-2 ⟨10.1109/DD.2015.7354874⟩
Proceedings/Recueil des communications hal-01257919v1
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Non-Lipschitz uniform domain shape optimization in linear acoustics

 Michael Hinz , Anna Rozanova-Pierrat , Alexander Teplyaev
SIAM Journal on Control and Optimization, 2021, 59 (2), pp.1007-1032. ⟨10.1137/20M1361687⟩
Article dans une revue hal-02919526v3
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Short time heat diffusion in compact domains with discontinuous transmission boundary conditions

 Claude Bardos , Denis S Grebenkov , Anna Rozanova-Pierrat
Mathematical Models and Methods in Applied Sciences, 2016, 26 (1), pp.59. ⟨10.1142/S0218202516500032⟩
Article dans une revue hal-01186761v1
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Cauchy Problem for the Kuznetsov Equation

 Adrien Dekkers , Anna Rozanova-Pierrat
Discrete and Continuous Dynamical Systems - Series A, 2019, 39 (1), pp.277-307. ⟨10.3934/dcds.2019012⟩
Article dans une revue hal-01648010v2
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Dirichlet boundary valued problems for linear and nonlinear wave equations on arbitrary and fractal domains

 Adrien Dekkers , Anna Rozanova-Pierrat
Journal of Mathematical Analysis and Applications, 2022, 512 (1), pp.126089. ⟨10.1016/j.jmaa.2022.126089⟩
Article dans une revue hal-02539158v1
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Perturbative numeric approach in microwave imaging

 Anna Rozanova-Pierrat
2009
Pré-publication, Document de travail hal-00474345v1

Boundary value problems on non-Lipschitz uniform domains: stability, compactness and the existence of optimal shapes

 Michael Hinz , Anna Rozanova-Pierrat , Alexander Teplyaev
Asymptotic Analysis, 2023, 134 (1-2), pp.25-61. ⟨10.3233/ASY-231825⟩
Article dans une revue hal-04342654v1
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Optimal absorption of acoustical waves by a boundary

 Frédéric Magoulès , Thi Phuong Kieu Nguyen , Pascal Omnes , Anna Rozanova-Pierrat
SIAM Journal on Control and Optimization, 2021, 59 (1), pp.561-583. ⟨10.1137/20M1327239⟩
Article dans une revue hal-01558043v6
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Faster Diffusion across an Irregular Boundary

 Anna Rozanova-Pierrat , Denis S Grebenkov , Bernard Sapoval
Physical Review Letters, 2012, 108, pp.240602. ⟨10.1103/PhysRevLett.108.240602⟩
Article dans une revue hal-00760296v1
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Dirichlet-to-Neumann or Poincaré-Steklov operator on fractals described by d -sets

 Kevin Arfi , Anna Rozanova-Pierrat
Discrete and Continuous Dynamical Systems - Series S, 2019, 12 (1), pp.1-26. ⟨10.3934/dcdss.2019001⟩
Article dans une revue hal-01526951v2
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Optimal and efficient shapes in acoustic boundary absorption

 Frédéric Magoulès , Thi Phuong Kieu Nguyen , Pascal Omnes , Anna Rozanova-Pierrat
2019
Pré-publication, Document de travail hal-02543993v1
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Khokhlov-Zabolotskaya-Kuznetsov Equation. Mathematical Analyze, Validation of the Approximation and Contol Method

 Anna Rozanova-Pierrat
Mathematics [math]. Université Pierre et Marie Curie - Paris VI, 2006. English. ⟨NNT : ⟩
Thèse tel-00126487v1
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Microwave Imaging by Elastic Deformation

 Habib Ammari , Yves Capdeboscq , Frédéric de Gournay , Faouzi Triki , Anna Rozanova-Pierrat
SIAM Journal on Applied Mathematics, 2011, 71 (6), pp.2112-2130. ⟨10.1137/110828241⟩
Article dans une revue hal-00655840v1
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On the existence of optimal shapes in architecture

 Michael Hinz , Frédéric Magoulès , Anna Rozanova-Pierrat , Marina Rynkovskaya , Alexander Teplyaev
Applied Mathematical Modelling, 2021, 94, pp.676-687. ⟨10.1016/j.apm.2021.01.041⟩
Article dans une revue hal-02956458v2
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Controllability of the moments for Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation

 Anna Rozanova-Pierrat
2006
Pré-publication, Document de travail hal-00112146v1
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Models of nonlinear acoustics viewed as an approximation of the Navier-Stokes and Euler compressible isentropic systems

 Adrien Dekkers , Anna Rozanova-Pierrat
Communications in Mathematical Sciences, 2020, Communications in Mathematical Sciences, 18 (8), ⟨10.4310/CMS.2020.V18.N8.A1⟩
Article dans une revue hal-01935515v3
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Existence of optimal shapes for heat diffusions across irregular interfaces

 Gabriel Claret , Anna Rozanova-Pierrat
2023
Pré-publication, Document de travail hal-04316274v1
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Layer potential operators for transmission problems on extension domains

 Gabriel Claret , Michael Hinz , Anna Rozanova-Pierrat , Alexander Teplyaev
2023
Pré-publication, Document de travail hal-04505158v1
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Generalization of Rellich-Kondrachov theorem and trace compacteness for fractal boundaries

 Anna Rozanova-Pierrat
Maria Rosaria Lancia and Anna Rozanova-Pierrat. Fractals in engineering: Theoretical aspects and Numerical approximations, 2020, ICIAM 2019 - SEMA SIMAI SPRINGER SERIES PUBLICATIONS
Chapitre d'ouvrage hal-02489325v2
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Models of nonlinear acoustics viewed as approximations of the Kuznetsov equation

 Adrien Dekkers , Anna Rozanova-Pierrat , Vladimir Khodygo
Discrete & Continuous Dynamical Systems - A, 2020, 40 A (7), pp.4231-4258. ⟨10.3934/dcds.2020179⟩
Article dans une revue hal-02134311v2
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Mixed boundary valued problem for linear and nonlinear wave equations in domains with fractal boundaries

 Adrien Dekkers , Anna Rozanova-Pierrat , Alexander Teplyaev
Calculus of Variations and Partial Differential Equations, 2022, 61 (2), pp.75. ⟨10.1007/s00526-021-02159-3⟩
Article dans une revue hal-02514311v1
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