Annals of Pde最新文献_第7页

Quantitative Control of Solutions to the Axisymmetric Navier-Stokes Equations in Terms of the Weak (L^3) Norm 轴对称Navier-Stokes方程弱（L^3）范数解的定量控制

IF 2.8 1区数学

Annals of Pde Pub Date : 2023-08-10 DOI: 10.1007/s40818-023-00156-7

W. S. Ożański, S. Palasek

引用次数: 0

Dispersion for the Wave Equation Inside Strictly Convex Domains II: The General Case 严格凸域内波方程的色散Ⅱ：一般情况

IF 2.8 1区数学

Annals of Pde Pub Date : 2023-07-12 DOI: 10.1007/s40818-023-00151-y

Oana Ivanovici, Richard Lascar, Gilles Lebeau, Fabrice Planchon

引用次数: 7

(L^2)-Critical Nonuniqueness for the 2D Navier-Stokes Equations 二维Navier-Stokes方程的（L^2）-临界非唯一性

IF 2.8 1区数学

Annals of Pde Pub Date : 2023-06-27 DOI: 10.1007/s40818-023-00154-9

Alexey Cheskidov, Xiaoyutao Luo

引用次数: 32

An Inverse Problem for a Semilinear Elliptic Equation on Conformally Transversally Anisotropic Manifolds 共形横各向异性流形上的一个半线性椭圆型方程的反问题

IF 2.8 1区数学

Annals of Pde Pub Date : 2023-06-27 DOI: 10.1007/s40818-023-00153-w

Ali Feizmohammadi, Tony Liimatainen, Yi-Hsuan Lin

引用次数: 10

Construction of GCM Hypersurfaces in Perturbations of Kerr Kerr摄动下GCM超曲面的构造

IF 2.8 1区数学

Annals of Pde Pub Date : 2023-05-30 DOI: 10.1007/s40818-023-00152-x

Dawei Shen

引用次数: 1

Nonlinear Interaction of Three Impulsive Gravitational Waves II: The Wave Estimates 三个脉冲引力波的非线性相互作用Ⅱ：波的估计

IF 2.8 1区数学

Annals of Pde Pub Date : 2023-04-19 DOI: 10.1007/s40818-023-00145-w

Jonathan Luk, Maxime Van de Moortel

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引用次数: 1

Construction of a Right Inverse for the Divergence in Non-cylindrical Time Dependent Domains 非圆柱时变域中散度的右逆的构造

IF 2.8 1区数学

Annals of Pde Pub Date : 2023-04-01 DOI: 10.1007/s40818-023-00150-z

Olli Saari, Sebastian Schwarzacher

引用次数: 3

Incompressible limit for the free surface Navier-Stokes system 自由表面Navier-Stokes系统的不可压缩极限

IF 2.8 1区数学

Annals of Pde Pub Date : 2023-04-01 DOI: 10.1007/s40818-023-00148-7

Nader Masmoudi, Frédéric Rousset, Changzhen Sun

引用次数: 2

Instability of the Kerr Cauchy Horizon Under Linearised Gravitational Perturbations 线性引力扰动下Kerr-Cauchy视界的不稳定性

IF 2.8 1区数学

Annals of Pde Pub Date : 2023-03-24 DOI: 10.1007/s40818-023-00146-9

Jan Sbierski

引用次数: 5

Construction of Blow-Up Manifolds to the Equivariant Self-dual Chern–Simons–Schrödinger Equation 等变自对偶Chern–Simons–Schrödinger方程的Blow-Up流形的构造

IF 2.8 1区数学

Annals of Pde Pub Date : 2023-03-21 DOI: 10.1007/s40818-023-00147-8

Kihyun Kim, Soonsik Kwon

{"title":"Construction of Blow-Up Manifolds to the Equivariant Self-dual Chern–Simons–Schrödinger Equation","authors":"Kihyun Kim, Soonsik Kwon","doi":"10.1007/s40818-023-00147-8","DOIUrl":"10.1007/s40818-023-00147-8","url":null,"abstract":"<div><p>We consider the self-dual Chern–Simons–Schrödinger equation (CSS) under equivariance symmetry. Among others, (CSS) has a static solution <i>Q</i> and the pseudoconformal symmetry. We study the quantitative description of pseudoconformal blow-up solutions <i>u</i> such that </p><div><div><span>$$begin{aligned} u(t,r)-frac{e^{igamma _{*}}}{T-t}QBig (frac{r}{T-t}Big )rightarrow u^{*}quad text {as }trightarrow T^{-}. end{aligned}$$</span></div></div><p>When the equivariance index <span>(mge 1)</span>, we construct a set of initial data (under a codimension one condition) yielding pseudoconformal blow-up solutions. Moreover, when <span>(mge 3)</span>, we establish the codimension one property and Lipschitz regularity of the initial data set, which we call the <i>blow-up manifold</i>. This is a forward construction of blow-up solutions, as opposed to authors’ previous work [25], which is a backward construction of blow-up solutions with prescribed asymptotic profiles. In view of the instability result of [25], the codimension one condition established in this paper is expected to be optimal. We perform the modulation analysis with a robust energy method developed by Merle, Raphaël, Rodnianski, and others. One of our crucial inputs is a remarkable <i>conjugation identity</i>, which (with self-duality) enables the method of supersymmetric conjugates as like Schrödinger maps and wave maps. It suggests how we proceed to higher order derivatives while keeping the Hamiltonian form and construct adapted function spaces with their coercivity relations. More interestingly, it shows a deep connection with the Schrödinger maps at the linearized level and allows us to find a repulsivity structure for higher order derivatives.</p></div>","PeriodicalId":36382,"journal":{"name":"Annals of Pde","volume":"9 1","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40818-023-00147-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50503382","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 7