Nonlinear Differential Equations and Applications (NoDEA)最新文献

筛选
英文 中文
Well-posedness of Whitham-Broer-Kaup equation with negative dispersion 具有负分散性的 Whitham-Broer-Kaup 方程的良好拟合
Nonlinear Differential Equations and Applications (NoDEA) Pub Date : 2023-12-15 DOI: 10.1007/s00030-023-00899-z
Nabil Bedjaoui, Youcef Mammeri
{"title":"Well-posedness of Whitham-Broer-Kaup equation with negative dispersion","authors":"Nabil Bedjaoui, Youcef Mammeri","doi":"10.1007/s00030-023-00899-z","DOIUrl":"https://doi.org/10.1007/s00030-023-00899-z","url":null,"abstract":"<p>In this work, we discuss the well-posedness of Whitham-Broer-Kaup equation with negative dispersion term. A symmetrizer is built, then we prove the existence and uniqueness of a solution using the vanishing viscosity method.</p>","PeriodicalId":501665,"journal":{"name":"Nonlinear Differential Equations and Applications (NoDEA)","volume":"52 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138682947","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Cheeger cut and Cheeger problem in metric measure spaces 公度量空间中的切格切割和切格问题
Nonlinear Differential Equations and Applications (NoDEA) Pub Date : 2023-12-13 DOI: 10.1007/s00030-023-00893-5
José M. Mazón
{"title":"The Cheeger cut and Cheeger problem in metric measure spaces","authors":"José M. Mazón","doi":"10.1007/s00030-023-00893-5","DOIUrl":"https://doi.org/10.1007/s00030-023-00893-5","url":null,"abstract":"<p>In this paper we study the Cheeger cut and Cheeger problem in the general framework of metric measure spaces. A central motivation for developing our results has been the desire to unify the assumptions and methods employed in various specific spaces, such as Riemannian manifolds, Heisenberg groups, graphs, etc. We obtain two characterization of the Cheeger constant: a variational one and another one through the eigenvalue of the 1-Laplacian. We obtain a Cheeger inequality along the lines of the classical one for Riemannian manifolds obtained by Cheeger in (In: Gunning RC (ed) Problems in analysis. Princeton University Press, Princeton, pp 195–199, 1970). We also study the Cheeger problem. Through a variational characterization of the Cheeger sets we prove the existence of Cheeger sets and obtain a characterization of the calibrable sets and a version of the Max Flow Min Cut Theorem.</p>","PeriodicalId":501665,"journal":{"name":"Nonlinear Differential Equations and Applications (NoDEA)","volume":"78 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138581068","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A singular perturbation problem for a nonlinear Schrödinger system with three wave interaction 具有三波相互作用的非线性薛定谔系统的奇异扰动问题
Nonlinear Differential Equations and Applications (NoDEA) Pub Date : 2023-12-12 DOI: 10.1007/s00030-023-00901-8
Yuki Osada
{"title":"A singular perturbation problem for a nonlinear Schrödinger system with three wave interaction","authors":"Yuki Osada","doi":"10.1007/s00030-023-00901-8","DOIUrl":"https://doi.org/10.1007/s00030-023-00901-8","url":null,"abstract":"<p>In this paper, we consider the locations of spikes of ground states for the following nonlinear Schrödinger system with three wave interaction </p><p> as <span>(varepsilon rightarrow +0)</span>. In addition, we study the asymptotic behavior of a quantity <span>(inf _{x in {mathbb {R}}^N} {tilde{c}}({{textbf{V}}}(x);gamma ))</span> as <span>(gamma rightarrow infty )</span> which determines locations of spikes. In particular, we give the sharp asymptotic behavior of a ground states of (<span>({{mathcal {P}}}_varepsilon )</span>) for <span>(gamma )</span> sufficiently large and small, respectively. Furthermore, we consider when all the ground states of (<span>({{mathcal {P}}}_varepsilon )</span>) are scalar or vector.\u0000</p>","PeriodicalId":501665,"journal":{"name":"Nonlinear Differential Equations and Applications (NoDEA)","volume":"22 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138572982","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
q-Laplace equation involving the gradient on general bounded and exterior domains 涉及一般有界域和外部域上梯度的 q-拉普拉斯方程
Nonlinear Differential Equations and Applications (NoDEA) Pub Date : 2023-12-12 DOI: 10.1007/s00030-023-00900-9
A. Razani, C. Cowan
{"title":"q-Laplace equation involving the gradient on general bounded and exterior domains","authors":"A. Razani, C. Cowan","doi":"10.1007/s00030-023-00900-9","DOIUrl":"https://doi.org/10.1007/s00030-023-00900-9","url":null,"abstract":"<p>The existence of positive singular solutions of </p><span>$$begin{aligned} left{ begin{array}{lcc} -Delta _q u=(1+g(x))|nabla u|^p &amp;{}quad text {in}&amp;{} B_1, u=0&amp;{}quad text {on}&amp;{} partial B_1, end{array} right. end{aligned}$$</span>(1)<p>is proved, where <span>(B_1)</span> is the unit ball in <span>({mathbb {R}}^N)</span>, <span>(N ge 3)</span>, <span>(2&lt;q&lt;N)</span>, <span>(frac{N(q-1)}{N-1}&lt;p&lt;q)</span> and <span>(gge 0)</span> is a Hölder continuous function with <span>(g(0) = 0)</span>. Also, the existence of positive singular solutions of </p><span>$$begin{aligned} left{ begin{array}{lcc} -Delta _q u=|nabla u|^p &amp;{}quad text {in}&amp;{} Omega , u=0&amp;{}quad text {on}&amp;{} partial Omega . end{array} right. end{aligned}$$</span>(2)<p>is proved, where <span>(Omega )</span> is a bounded smooth domain in <span>({mathbb {R}}^N)</span>, <span>(N ge 3)</span>, <span>(2&lt; q&lt;N)</span> and <span>(frac{N(q-1)}{N-1}&lt;p&lt;q)</span>. Finally, the existence of a bounded positive classical solution of (2) with the additional property that <span>(nabla u(x) cdot x &gt; 0)</span> for large |<i>x</i>| is proved, in the case of <span>(Omega )</span> an exterior domain <span>({mathbb {R}}^N)</span>, <span>(Nge 3)</span> and <span>(p &gt;frac{N(q-1)}{N-1})</span>.</p>","PeriodicalId":501665,"journal":{"name":"Nonlinear Differential Equations and Applications (NoDEA)","volume":"887 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138573089","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Global well-posedness for eddy-mean vorticity equations on $$mathbb {T}^2$$ $$mathbb{T}^2$$上涡度均值涡度方程的全局拟合优度
Nonlinear Differential Equations and Applications (NoDEA) Pub Date : 2023-12-12 DOI: 10.1007/s00030-023-00898-0
Yuri Cacchio’
{"title":"Global well-posedness for eddy-mean vorticity equations on $$mathbb {T}^2$$","authors":"Yuri Cacchio’","doi":"10.1007/s00030-023-00898-0","DOIUrl":"https://doi.org/10.1007/s00030-023-00898-0","url":null,"abstract":"<p>We consider the two-dimensional, <span>(beta )</span>-plane, eddy-mean vorticity equations for an incompressible flow, where the zonally averaged flow varies on scales much larger than the perturbation. We prove global existence and uniqueness of the solution to the equations on periodic settings.</p>","PeriodicalId":501665,"journal":{"name":"Nonlinear Differential Equations and Applications (NoDEA)","volume":"53 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138581137","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On weak (measure valued)–strong uniqueness for Navier–Stokes–Fourier system with Dirichlet boundary condition 论带德里赫特边界条件的纳维-斯托克斯-傅里叶系统的弱(量值)-强唯一性
Nonlinear Differential Equations and Applications (NoDEA) Pub Date : 2023-12-11 DOI: 10.1007/s00030-023-00895-3
Nilasis Chaudhuri
{"title":"On weak (measure valued)–strong uniqueness for Navier–Stokes–Fourier system with Dirichlet boundary condition","authors":"Nilasis Chaudhuri","doi":"10.1007/s00030-023-00895-3","DOIUrl":"https://doi.org/10.1007/s00030-023-00895-3","url":null,"abstract":"<p>In this article, our goal is to define a measure valued solution of compressible Navier–Stokes–Fourier system for a heat conducting fluid with Dirichlet boundary condition for temperature in a bounded domain. The definition will be based on the weak formulation of entropy inequality and ballistic energy inequality. Moreover, we obtain the <i>weak (measure valued)–strong uniqueness</i> property of this solution with the help of relative energy.\u0000</p>","PeriodicalId":501665,"journal":{"name":"Nonlinear Differential Equations and Applications (NoDEA)","volume":"33 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138569882","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信