TY - JOUR AU - Li, Yachun AU - Qu, Peng AU - Zeng, Zirong AU - Zhang, Deng TI - Sharp non-uniqueness for the 3D hyperdissipative Navier-Stokes equations: Beyond the Lions exponent JF - JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES J2 - J MATH PURE APPL VL - 190 PY - 2024 PG - 64 SN - 0021-7824 DO - 10.1016/j.matpur.2024.103602 UR - https://m2.mtmt.hu/api/publication/35330932 ID - 35330932 LA - English DB - MTMT ER - TY - JOUR AU - Kuan, Jeffrey AU - Canic, Suncica AU - Muha, Boris TI - Fluid-poroviscoelastic structure interaction problem with nonlinear geometric coupling JF - JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES J2 - J MATH PURE APPL VL - 188 PY - 2024 SP - 345 EP - 445 PG - 101 SN - 0021-7824 DO - 10.1016/j.matpur.2024.06.004 UR - https://m2.mtmt.hu/api/publication/35316334 ID - 35316334 LA - English DB - MTMT ER - TY - JOUR AU - Miao, Changxing AU - Ye, Weikui TI - On the weak solutions for the MHD systems with controllable total energy and cross helicity JF - JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES J2 - J MATH PURE APPL VL - 181 PY - 2024 SP - 190 EP - 227 PG - 38 SN - 0021-7824 DO - 10.1016/j.matpur.2023.12.010 UR - https://m2.mtmt.hu/api/publication/34628993 ID - 34628993 LA - English DB - MTMT ER - TY - JOUR AU - Zhao, Guangyu AU - Ruan, Shigui TI - Spatiotemporal dynamics in epidemic models with Levy flights: A fractional diffusion approach JF - JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES J2 - J MATH PURE APPL VL - 173 PY - 2023 SP - 243 EP - 277 PG - 35 SN - 0021-7824 DO - 10.1016/j.matpur.2023.02.011 UR - https://m2.mtmt.hu/api/publication/35029149 ID - 35029149 N1 - Funding Agency and Grant Number: National Science Foundation [DMS-1853622, DMS-2052648] Funding text: Acknowledgements We would like to thank the two anonymous reviewers for their helpful comments and suggestions. Research of S. Ruan was partially supported by National Science Foundation (DMS-1853622 and DMS-2052648) . LA - English DB - MTMT ER - TY - JOUR AU - Colbois, Bruno AU - Lena, Corentin AU - Provenzano, Luigi AU - Savo, Alessandro TI - Geometric bounds for the magnetic Neumann eigenvalues in the plane JF - JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES J2 - J MATH PURE APPL VL - 179 PY - 2023 SP - 454 EP - 497 PG - 44 SN - 0021-7824 DO - 10.1016/j.matpur.2023.09.014 UR - https://m2.mtmt.hu/api/publication/34614073 ID - 34614073 AB - We consider the eigenvalues of the magnetic Laplacian on a bounded domain Omega of R-2 with uniform magnetic field beta > 0 and magnetic Neumann boundary conditions. We find upper and lower bounds for the ground state energy lambda(1) and we provide semiclassical estimates in the spirit of Kroger for the first Riesz mean of the eigenvalues. We also discuss upper bounds for the first eigenvalue for non-constant magnetic fields beta = beta(x) on a simply connected domain in a Riemannian surface. In particular: we prove the upper bound lambda(1) < beta for a general plane domain for a constant magnetic field, and the upper bound lambda(1) < max(x is an element of Omega)(-)|beta(x)| for a variable magnetic field when omega is simply connected. For smooth domains, we prove a lower bound of lambda t depending only on the intensity of the magnetic field beta and the rolling radius of the domain. The estimates on the Riesz mean imply an upper bound for the averages of the first k eigenvalues which is sharp when k -> infinity and consists of the semiclassical limit 2 pi k/ |Omega| plus an oscillating term.We also construct several examples, showing the importance of the topology: in particular we show that an arbitrarily small tubular neighborhood of a generic simple closed curve has lowest eigenvalue bounded away from zero, contrary to the case of a simply connected domain of small area, for which lambda(1) is always small.(c) 2023 The Author(s). Published by Elsevier Masson SAS. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/). LA - English DB - MTMT ER - TY - JOUR AU - Nam, Phan Thanh AU - Triay, Arnaud TI - Bogoliubov excitation spectrum of trapped Bose gases in the Gross-Pitaevskii regime JF - JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES J2 - J MATH PURE APPL VL - 176 PY - 2023 SP - 18 EP - 101 PG - 84 SN - 0021-7824 DO - 10.1016/j.matpur.2023.06.002 UR - https://m2.mtmt.hu/api/publication/34614069 ID - 34614069 AB - We consider an inhomogeneous system of N bosons in R3 confined by an external potential and interacting via a repulsive potential of the form N2V(N(x - y)). We prove that the low-energy excitation spectrum of the system is determined by the eigenvalues of an effective one-particle operator, which agrees with Bogoliubov's approximation. (c) 2023 Elsevier Masson SAS. All rights reserved. LA - English DB - MTMT ER - TY - JOUR AU - Pereira, Pedro C. C. R. AU - Novaes, Douglas D. AU - Candido, Murilo R. TI - A mechanism for detecting normally hyperbolic invariant tori in differential equations JF - JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES J2 - J MATH PURE APPL VL - 177 PY - 2023 SP - 1 EP - 45 PG - 45 SN - 0021-7824 DO - 10.1016/j.matpur.2023.06.008 UR - https://m2.mtmt.hu/api/publication/34458081 ID - 34458081 AB - Determining the existence of compact invariant manifolds is a central quest in the qualitative theory of differential equations. Singularities, periodic solutions, and invariant tori are examples of such invariant manifolds. A classical and useful result from the averaging theory relates the existence of isolated periodic solutions of non-autonomous periodic differential equations, given in a specific standard form, with the existence of simple singularities of the so-called guiding system, which is an autonomous differential equation given in terms of the first non-vanishing higher order averaged function. In this paper, we provide an analogous result for the existence of invariant tori. Namely, we show that a non-autonomous periodic differential equation, given in the standard form, has a normally hyperbolic invariant torus in the extended phase space provided that the guiding system has a hyperbolic limit cycle. We apply this result to show the existence of normally hyperbolic invariant tori in a family of jerk differential equations.& COPY; 2023 Elsevier Masson SAS. All rights reserved. LA - English DB - MTMT ER - TY - JOUR AU - Nascimento, Thialita M. AU - Teixeira, Eduardo V. TI - New regularity estimates for fully nonlinear elliptic equations JF - JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES J2 - J MATH PURE APPL VL - 171 PY - 2023 SP - 1 EP - 25 PG - 25 SN - 0021-7824 DO - 10.1016/j.matpur.2022.12.008 UR - https://m2.mtmt.hu/api/publication/34297245 ID - 34297245 AB - We establish new quantitative Hessian integrability estimates for viscosity supersolutions of fully nonlinear elliptic operators. As a corollary, we show that the optimal Hessian power integrability epsilon = epsilon(lambda,Lambda, n) in the celebrated W-2,W-epsilon-regularity estimate satisfies.[GRAPHICS].where n >= 3is the dimension and 0 < lambda< Lambda are the ellipticity constants. In particular,(Lambda/lambda)(n-1) epsilon(lambda,Lambda, n) blows-up, as n ->infinity; previous results yielded fast decay of such a quantity. The upper estimate improves the one obtained by Armstrong, Silvestre, and Smart in [1]. LA - English DB - MTMT ER - TY - JOUR AU - Barral, Julien AU - Seuret, Stephane TI - The Frisch-Parisi conjecture I: Prescribed multifractal behavior, and a partial solution JF - JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES J2 - J MATH PURE APPL VL - 175 PY - 2023 SP - 76 EP - 108 PG - 33 SN - 0021-7824 DO - 10.1016/j.matpur.2023.05.003 UR - https://m2.mtmt.hu/api/publication/34249588 ID - 34249588 AB - In this work and its companion [1], we construct Baire function spaces in which typical elements share the same prescribed multifractal behavior and obey a multifractal formalism, providing a solution to the so-called Frisch-Parisi conjecture for functions, an inverse problem raised by S. Jaffard. In this first part, a family Ed of almost-doubling fully supported capacities on Rd with prescribed singularity spectra is constructed. With each & mu; & ISIN; Ed we associate a Baire function space B & mu;(Rd) (a generalisation of Holder-Zygmund spaces) in which typical functions share the same singularity spectrum as & mu;. This yields a partial solution to the conjecture. In [1], we introduce and study a family B = {B & mu;,p q (Rd)}& mu;EEd,(p,q)E[1,+oo]2 of heterogeneous Besov spaces that contains {B & mu;(Rd)}& mu;EEd and generalises in a natural direction the family of standard Besov spaces, and we solve the inverse problem exhaustively inside B. & COPY; 2023 Elsevier Masson SAS. All rights reserved. LA - English DB - MTMT ER - TY - JOUR AU - Bonami, Aline AU - Jiao, Yong AU - Xie, Guangheng AU - Yang, Dachun AU - Zhou, Dejian TI - Products and commutators of martingales in H1 and BMO JF - JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES J2 - J MATH PURE APPL PY - 2023 SN - 0021-7824 DO - 10.1016/j.matpur.2023.10.001 UR - https://m2.mtmt.hu/api/publication/34245811 ID - 34245811 LA - English DB - MTMT ER -