Journal of Differential Equations最新文献_第6页

Regular Lagrangian flow for wavelike vector fields and the Vlasov-Maxwell system 波状矢量场的正则拉格朗日流和弗拉索夫-麦克斯韦系统

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2024-10-01 DOI: 10.1016/j.jde.2024.09.051

Henrique Borrin

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引用次数: 0

On a class of nonautonomous quasilinear systems with general time-gradually-degenerate damping 关于一类具有一般时间渐减阻尼的非自治准线性系统

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2024-10-01 DOI: 10.1016/j.jde.2024.09.049

Richard De la cruz , Wladimir Neves

引用次数: 0

Global multiplicity of positive solutions for a sublinear elliptic equation in RN RN 中一个亚线性椭圆方程正解的全局多重性

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2024-10-01 DOI: 10.1016/j.jde.2024.09.052

Minbo Yang , Jefferson Abrantes , Pedro Ubilla , Jiazheng Zhou

引用次数: 0

A wave-breaking result for azimuthally varying water flows in cylindrical coordinates 圆柱坐标中方位角变化水流的破波结果

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2024-10-01 DOI: 10.1016/j.jde.2024.09.048

Calin I. Martin

引用次数: 0

Effects of additional resource and degeneracy on the dynamics for a diffusive predator-prey system 额外资源和退化对扩散性捕食者-猎物系统动力学的影响

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2024-10-01 DOI: 10.1016/j.jde.2024.09.045

Yunfeng Jia , Jingjing Wang , Yi Li

引用次数: 0

Non-uniqueness in law of transport-diffusion equation forced by random noise 受随机噪声影响的输运-扩散方程规律的非唯一性

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2024-10-01 DOI: 10.1016/j.jde.2024.09.046

Ujjwal Koley , Kazuo Yamazaki

引用次数: 0

Sobolev instability in the cubic NLS equation with convolution potentials on irrational tori 无理环上具有卷积势的立方 NLS 方程中的索波列夫不稳定性

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2024-09-27 DOI: 10.1016/j.jde.2024.09.044

Filippo Giuliani

{"title":"Sobolev instability in the cubic NLS equation with convolution potentials on irrational tori","authors":"Filippo Giuliani","doi":"10.1016/j.jde.2024.09.044","DOIUrl":"10.1016/j.jde.2024.09.044","url":null,"abstract":"<div><div>In this paper we prove the existence of solutions to the cubic NLS equation with convolution potentials on two dimensional irrational tori undergoing an arbitrarily large growth of Sobolev norms as time evolves. Our results apply also to the case of square (and rational) tori. We weaken the regularity assumptions on the convolution potentials, required in a previous work by Guardia (2014) [11] for the square case, to obtain the <math><msup><mrow><mi>H</mi></mrow><mrow><mi>s</mi></mrow></msup></math>-instability (<math><mi>s</mi><mo>></mo><mn>1</mn></math>) of the elliptic equilibrium <math><mi>u</mi><mo>=</mo><mn>0</mn></math>. We also provide the existence of solutions <math><mi>u</mi><mo>(</mo><mi>t</mi><mo>)</mo></math> with arbitrarily small <math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math> norm which achieve a prescribed growth, say <math><msub><mrow><mo>‖</mo><mi>u</mi><mo>(</mo><mi>T</mi><mo>)</mo><mo>‖</mo></mrow><mrow><msup><mrow><mi>H</mi></mrow><mrow><mi>s</mi></mrow></msup></mrow></msub><mo>≥</mo><mi>K</mi><msub><mrow><mo>‖</mo><mi>u</mi><mo>(</mo><mn>0</mn><mo>)</mo><mo>‖</mo></mrow><mrow><msup><mrow><mi>H</mi></mrow><mrow><mi>s</mi></mrow></msup></mrow></msub></math>, <math><mi>K</mi><mo>≫</mo><mn>1</mn></math>, within a time T satisfying polynomial estimates, namely <math><mn>0</mn><mo><</mo><mi>T</mi><mo><</mo><msup><mrow><mi>K</mi></mrow><mrow><mi>c</mi></mrow></msup></math> for some <math><mi>c</mi><mo>></mo><mn>0</mn></math>.</div></div>","PeriodicalId":15623,"journal":{"name":"Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142326436","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 0

The central limit theorems for integrable Hamiltonian systems perturbed by white noise 受白噪声扰动的可积分哈密顿系统的中心极限定理

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2024-09-27 DOI: 10.1016/j.jde.2024.09.047

Chen Wang , Yong Li

引用次数: 0

On the Borel summability of formal solutions of certain higher-order linear ordinary differential equations 论某些高阶线性常微分方程形式解的伯累尔求和性

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2024-09-26 DOI: 10.1016/j.jde.2024.09.041

Gergő Nemes

引用次数: 0

Boundedness for the chemotaxis system with logistic growth 具有逻辑增长的趋化系统的有界性

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2024-09-25 DOI: 10.1016/j.jde.2024.09.040

Qian Zhang , Yonghong Wu , Peiguang Wang

引用次数: 0