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CEREMADE

Haspot Boris

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Publications

Articles

Burtea C., Haspot B. (2022), Vanishing capillarity limit of the Navier-Stokes-Korteweg system in one dimension with degenerate viscosity coefficient and discontinuous initial density, SIAM Journal on Mathematical Analysis, vol. 54, n°2, p. 36

Burtea C., Haspot B. (2022), Existence of global strong solution for Korteweg system in one dimension for strongly degenerate viscosity coefficients, Pure and Applied Analysis, vol. 4, n°3, p. 449-485

Audiard C., Haspot B. (2018), From Gross-Pitaevskii equation to Euler Korteweg system, existence of global strong solutions with small irrotational initial data, Annali di Matematica Pura ed Applicata, vol. 197, n°3, p. 721-760

Haspot B. (2018), Existence of global strong solution for the compressible Navier-Stokes equations with degenerate viscosity coefficients in 1D, Mathematische Nachrichten, vol. 291, n°14-15, p. 2188-2203

Haspot B. (2017), Weak-Strong uniqueness for compressible Navier-Stokes system with degenerate viscosity coefficient and vacuum in one dimension, Communications in Mathematical Sciences, vol. 15, n°3, p. 587-591

Haspot B. (2017), Global existence of strong solution for viscous shallow water system with large initial data on the irrotational part, Journal of Differential Equations, vol. 262, n°10, p. 4931–4978

Audiard C., Haspot B. (2017), Global well-posedness of the Euler-Korteweg system for small irrotational data, Communications in Mathematical Physics, vol. 351, n°1, p. 201–247

Di Martino B., Haspot B., Penel Y. (2017), Global stability of weak solutions for a multilayer Saint-Venant model with interactions between the layers, Nonlinear Analysis, vol. 163, p. 177-200

Haspot B. (2016), From the Highly Compressible Navier–Stokes Equations to Fast Diffusion and Porous Media Equations. Existence of Global Weak Solution for the Quasi-Solutions, Journal of Mathematical Fluid Mechanics, vol. 18, n°2, p. 243-291

Haspot B. (2016), Existence of global strong solution for Korteweg system with large infinite energy initial data, Journal of Mathematical Analysis and Applications, vol. 438, n°1, p. 395-443

Haspot B., Zatorska E. (2016), From the highly compressible Navier-Stokes equations to the porous medium equation -- rate of convergence, Discrete and Continuous Dynamical Systems, vol. 36, n°6, p. 3107-3123

Haspot B. (2016), Global strong solution for the Korteweg system with quantum pressure in dimension N ≥ 2, Mathematische Annalen, vol. 367, n°1, p. 667-700

Haspot B. (2013), Existence of global strong solution for the compressible Navier-Stokes system and the Korteweg system in two-dimension, Methods and Applications of Analysis, vol. 20, n°2, p. 141-164

Charve F., Haspot B. (2013), On a Lagrangian method for the convergence from a non-local to a local Korteweg capillary fluid model, Journal of Functional Analysis, vol. 265, n°7, p. 1264-1323

Haspot B., Charve F. (2013), Existence of global strong solution and vanishing capillarity-viscosity limit in one dimension for the Korteweg system, SIAM Journal on Mathematical Analysis, vol. 45, n°2, p. 469-494

Charve F., Haspot B. (2012), Existence of strong solutions in a larger space for the shallow-water system, Advances in Differential Equations, vol. 17, n°11/12, p. 1085-1114

Haspot B. (2012), Existence of global strong solutions for the barotropic Navier–Stokes system with large initial data on the rotational part of the velocity, Comptes rendus. Mathématique, vol. 350, n°9-10, p. 487-492

Haspot B. (2012), Well-posedness for density-dependent incompressible fluids with non-Lipschitz velocity, Annales de l'Institut Fourier, vol. 62, n°5, p. 1717-1763

Haspot B. (2012), Existence of global strong solutions for the Saint-Venant system with large initial data on the irrotational part of the velocity, Comptes rendus. Mathématique, vol. 350, n°5-6, p. 249-254

Charve F., Haspot B. (2011), Convergence of capillary fluid models: from the non-local to the local Korteweg model, Indiana University Mathematics Journal, vol. 60, n°6, p. 2021-2060

Haspot B. (2011), Existence of Global Weak Solution for Compressible Fluid Models of Korteweg Type, Journal of Mathematical Fluid Mechanics, vol. 13, n°2, p. 223-249

Haspot B. (2011), Well-posedness in critical spaces for the system of compressible Navier-Stokes in larger spaces, Journal of Differential Equations, vol. 251, n°8, p. 2262-2295

Haspot B. (2011), Existence of Global Strong Solutions in Critical Spaces for Barotropic Viscous Fluids, Archive for Rational Mechanics and Analysis, vol. 202, n°2, p. 427-460

Haspot B. (2010), Cauchy problem for viscous shallow water equations with a term of capillarity, Mathematical Models and Methods in Applied Sciences (M3AS), vol. 20, n°7, p. 1049

Haspot B. (2010), Existence of global weak solution for compressible fluid models with a capillary tensor for discontinuous interfaces, Differential and Integral Equations, vol. 23, n°9-10, p. 899-934

Haspot B. (2009), Existence of strong solutions for nonisothermal Korteweg system, Annales mathématiques Blaise Pascal, vol. 16, n°2, p. 431-481

Communications avec actes

Haspot B. (2014), Porous media equations, fast diffusion equations and the existence of global weak solution for the quasi-solution of compressible Navier-Stokes equations, in Fabio Ancona, Alberto Bressan, Pierangelo Marcati, Andrea Marson, Hyperbolic Problems: Theory, Numerics, Applications, Paris, AIMS - American Institute of Mathematical Sciences, 667-674 p.

Haspot B. (2009), Cauchy problem for compressible fluid model with a specific capillarity tensor, in Tzavaras, Athanasios, International Conference on Hyperbolic Problems: Theory, Numerics and Applications (HYP 2008), Providence (RI), American Mathematical Society, 999 p.

Prépublications / Cahiers de recherche

Haspot B., Vassenet M-A. (2022), Stability of the global weak axisymmetric solution to the quantum Euler system with vorticity in dimension d = 2, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 36 p.

Haspot B., Junca S. (2020), Fractional BV solutions for 2×2 systems of conservation laws with a linearly degenerate field, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 36 p.

Haspot B. (2019), Global bmo −1 (R N ) radially symmetric solution for compressible Navier-Stokes equations with initial density in L ∞ (R N ), Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 60 p.

Haspot B. (2018), Vortex solutions for the compressible Navier-Stokes equations with general viscosity coefficients in 1D: regularizing effects or not on the density, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 44 p.

Haspot B. (2018), Strong solution for Korteweg system in bmo−1(\RN) with initial density in L∞, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 29 p.

Haspot B. (2016), On the Oseen vortices in dimension N = 2 for the inhomogeneous Navier-Stokes equations for radial initial density, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 14 p.

Haspot B. (2016), Global strong solution for the compressible Navier Stokes system with large rotationnally invariant initial data in dimension N ≥ 2, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 30 p.

Haspot B. (2014), New formulation of the compressible Navier-Stokes equations and parabolicity of the density, Paris, Université Paris-Dauphine, 38 p.

Haspot B. (2013), New entropy for Korteweg's system, existence of global weak solution and new blow-up criterion, Paris, Université Paris-Dauphine, 40 p.

Haspot B. (2013), On the porous medium equations, fast diffusion equations and compressible Navier-Stokes equations, new results on the quasi-solutions and on the scaling of the equations, Paris, Université Paris-Dauphine, 7 p.

Haspot B., Drici A. (2012), Remarks on global controllability for the shallow-water system with two control forces, Paris, Université Paris-Dauphine, 12 p.

Haspot B. (2011), New entropy for Korteweg's system, existence of global weak solution and Prodi-Serrin theorem, Derio (Espagne), Basque Center of Applied Mathematics, 28 p.

Haspot B. (2011), Blow-up criterion, ill-posedness and existence of strong solution for Korteweg system with infinite energy, Derio (Espagne), Basque Center of Applied Mathematics, 34 p.

Haspot B. (2011), Existence of global strong solutions for the shallow-water equations with large initial data, Paris, Université Paris-Dauphine, 15 p.

Haspot B. (2011), Local and global well-posedness results for density-dependent incompressible fluids, Heidelberg, Karls Ruprecht Universität, 31 p.

Haspot B. (2011), Regularity of weak solutions of the compressible barotropic Navier-Stokes equations, Preprints Ceremade, 58 p.

Haspot B. (2010), Regularity of weak solutions of the compressible isentropic Navier-Stokes equation, Heidelberg, Karls Ruprecht Universität, 39 p.

Haspot B. (2009), Well-posedness in critical spaces for barotropic viscous fluids, Heidelberg, Karls Ruprecht Universität, 31 p.

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