arXiv math.AP Analysis of PDEs
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arXiv math.AP Analysis of PDEs
@mathAPb
Unofficial bot by @vela with github.com/so-okada/twXiv. @mathACb @mathAGb @mathATb @mathCAbot @mathCObot @mathCTbot @mathCVb @mathDGb @mathDSb @mathFAbot ...
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    arXiv math.AP Analysis of PDEs
    @mathAPb
    Jan 3, 2025
    C\'edric Villani: Fisher Information in Kinetic Theory arxiv.org/abs/2501.00925 arxiv.org/pdf/2501.00925
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    Fisher Information in Kinetic Theory
    These notes review the theory of Fisher information, especially its use in kinetic theory of gases and plasmas. The recent monotonicity theorem by Guillen--Silvestre for the Landau--Coulomb...
    3.1K
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    arXiv math.AP Analysis of PDEs
    @mathAPb
    May 16, 2025
    Sho Katayama, Yasuhito Miyamoto: Infinite multiplicity of positive solutions of an inhomogeneous supercritical elliptic equation on $\mathbb{R}^N$ arxiv.org/abs/2505.10503 arxiv.org/pdf/2505.10503 arxiv.org/html/2505.10503
    5.5K
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    arXiv math.AP Analysis of PDEs
    @mathAPb
    Oct 27, 2023
    Sho Katayama: Semilinear elliptic problems on the half space with a supercritical nonlinearity arxiv.org/abs/2310.17001 arxiv.org/pdf/2310.17001
    6.4K
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    arXiv math.AP Analysis of PDEs
    @mathAPb
    Nov 25, 2024
    Sho Katayama: Supercritical Lane-Emden equation on a cone with an inhomogeneous Dirichlet boundary condition arxiv.org/abs/2411.14686 arxiv.org/pdf/2411.14686
    2.5K
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    arXiv math.AP Analysis of PDEs
    @mathAPb
    Oct 14, 2024
    Kazuhiro Ishige, Sho Katayama, Tatsuki Kawakami: Fundamental solution to the heat equation with a dynamical boundary condition arxiv.org/abs/2410.08430 arxiv.org/pdf/2410.08430
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    Fundamental solution to the heat equation with a dynamical...
    We give an explicit representation of the fundamental solution to the heat equation on a half-space of ${\mathbb R}^N$ with the homogeneous dynamical boundary condition, and obtain upper and lower...
    3.4K
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    arXiv math.AP Analysis of PDEs
    @mathAPb
    Jul 18, 2025
    Hadama, Hong: Semi-classical limit of quantum scattering states for the nonl... arxiv.org/abs/2507.12627 Chen, Lu, Tang, Wang: Asymptotically sharp stability of Sobolev inequalities on the ... arxiv.org/abs/2507.12725 en.wikipedia.org/wiki/Mathemati…
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    Semi-classical limit of quantum scattering states for the...
    This article concerns the long-time dynamics of quantum particles in the semi-classical regime. First, we show that for the nonlinear Hartree equation with short-range interaction potential,...
    4.8K
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    arXiv math.AP Analysis of PDEs
    @mathAPb
    Mar 20, 2025
    Hyangdong Park: Three-dimensional Supersonic flows for the steady Euler-Poisso... arxiv.org/abs/2503.14695 Coiculescu, Palasek: Non-Uniqueness of Smooth Solutions of the Navier-Stokes Equati... arxiv.org/abs/2503.14699 en.wikipedia.org/wiki/Mathemati…
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    Three-dimensional Supersonic flows for the steady Euler-Poisson...
    We are concerned with the unique existence of an axisymmetric supersonic solution with nonzero vorticity and nonzero angular momentum density for the steady Euler-Poisson system in...
    4.5K
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    arXiv math.AP Analysis of PDEs
    @mathAPb
    Dec 16, 2024
    Changxing Miao, Yao Nie, Weikui Ye: Sharp non-uniqueness for the Navier-Stokes equations in R^3 arxiv.org/abs/2412.09637 arxiv.org/pdf/2412.09637
    4.8K
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    arXiv math.AP Analysis of PDEs
    @mathAPb
    Nov 27, 2024
    Yoshikazu Giga, Michael G\"osswein, Sho Katayama: Large time behavior of exponential surface diffusion flows on $\mathbb{R}$ arxiv.org/abs/2411.17175 arxiv.org/pdf/2411.17175
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    Large time behavior of exponential surface diffusion flows on $\mathbb{R}$
    We consider a surface diffusion flow of the form $V=\partial_s^2f(-κ)$ with a strictly increasing smooth function $f$ typically, $f(r)=e^r$, for a curve with arc-length parameter $s$, where...
    6.3K
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    arXiv math.AP Analysis of PDEs
    @mathAPb
    Dec 17, 2024
    Changxing Miao, Yao Nie, Weikui Ye: Non-uniqueness of weak solutions to the Navier-Stokes equations in R^3 arxiv.org/abs/2412.10404 arxiv.org/pdf/2412.10404
    2.9K
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    arXiv math.AP Analysis of PDEs
    @mathAPb
    May 16, 2025
    Akiko Morimura, Toyohiko Aiki: Convergence of approximate solutions constructed by the finite volume method for the moisture transport model in porous media arxiv.org/abs/2505.09763 arxiv.org/pdf/2505.09763 arxiv.org/html/2505.09763
    1.3K
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    arXiv math.AP Analysis of PDEs
    @mathAPb
    Mar 3, 2025
    Naoyasu Kita, Hayato Miyazaki, Takuya Sato: Refinement of the $L^{2}$-decay estimate of solutions to nonlinear Schr\"odinger equations with attractive-dissipative nonlinearity arxiv.org/abs/2502.20713 arxiv.org/pdf/2502.20713 arxiv.org/html/2502.20713
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    Refinement of the $L^{2}$-decay estimate of solutions to nonlinear...
    This paper is concerned with the $L^{2}$-decay estimate of solutions to nonlinear dissipative Schrödinger equations with power-type nonlinearity of the order $p$. It is known that the sign of...
    1.2K
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    arXiv math.AP Analysis of PDEs
    @mathAPb
    Apr 22, 2024
    Tatsuya Miura, Glen Wheeler: The free elastic flow for closed planar curves arxiv.org/abs/2404.12619 arxiv.org/pdf/2404.12619
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    The free elastic flow for closed planar curves
    The free elastic flow is the $L^2$-gradient flow for Euler's elastic energy, or equivalently the Willmore flow with translation invariant initial data. In contrast to elastic flows under length...
    2.3K
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    arXiv math.AP Analysis of PDEs
    @mathAPb
    Feb 23, 2024
    Norisuke Ioku, Kazuhiro Ishige, Tatsuki Kawakami: Existence of solutions to a fractional semilinear heat equation in uniformly local weak Zygmund type spaces arxiv.org/abs/2402.14319 arxiv.org/pdf/2402.14319
    2.1K

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