Nonlinear Analysis-Real World Applications最新文献_第3页

Large-time behavior of solutions to outflow problem of full compressible Navier–Stokes–Korteweg equations 全可压缩 Navier-Stokes-Korteweg 方程流出问题解的大时间行为

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2024-10-30 DOI: 10.1016/j.nonrwa.2024.104248

Yeping Li, Heyu Liu, Rong Yin

{"title":"Large-time behavior of solutions to outflow problem of full compressible Navier–Stokes–Korteweg equations","authors":"Yeping Li, Heyu Liu, Rong Yin","doi":"10.1016/j.nonrwa.2024.104248","DOIUrl":"10.1016/j.nonrwa.2024.104248","url":null,"abstract":"<div><div>In this article, we investigate the large-time behavior of the solution to outflow problem for full compressible Navier–Stokes–Korteweg equations in the one-dimensional half space. The full compressible Navier–Stokes–Korteweg equations model compressible fluids with viscosity, heat-conductivity and internal capillarity, and include the Korteweg stress effects into the dissipative structure of the hyperbolic–parabolic system and turn out to be more complicated than that in the simpler full compressible Navier–Stokes equations. Under some suitable assumptions of the far fields and the boundary values of the density, the velocity and the absolute temperature, the asymptotic stability of the boundary layer, the 3-rarefaction wave, and the superposition of the boundary layer and the 3-rarefaction wave are shown provided that the initial perturbation and the strength of the nonlinear wave are small. The proof is mainly based on <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>-energy method, some time-decay estimates of the smoothed rarefaction wave and the space-decay estimates of the boundary layer. This can be viewed as the first result about the stability of basic wave patterns for the outflow problem of the full compressible Navier–Stokes–Korteweg equations.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"82 ","pages":"Article 104248"},"PeriodicalIF":1.8,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142553694","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Some fixed point results on interpolative metric spaces 关于插值度量空间的一些定点结果

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2024-10-28 DOI: 10.1016/j.nonrwa.2024.104244

Erdal Karapınar , Ravi P. Agarwal

引用次数: 0

Approximation theorem of quaternion-valued almost periodic functions of two variables 二变量四元值几乎周期函数的近似定理

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2024-10-25 DOI: 10.1016/j.nonrwa.2024.104245

Chao Wang , Ling Guo , Ravi P. Agarwal

引用次数: 0

Local in time solution to an integro-differential system for motion with large deformations and defects 大变形和缺陷运动积分微分系统的局部时间解法

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2024-10-22 DOI: 10.1016/j.nonrwa.2024.104231

Abramo Agosti , Michel Frémond

{"title":"Local in time solution to an integro-differential system for motion with large deformations and defects","authors":"Abramo Agosti , Michel Frémond","doi":"10.1016/j.nonrwa.2024.104231","DOIUrl":"10.1016/j.nonrwa.2024.104231","url":null,"abstract":"<div><div>In this paper we consider and generalize a model, recently proposed and analytically investigated in its quasi-stationary approximation by the authors and a co-author, for the motion of a medium with large deformations and conditional compatibility, with occurrence of defects when the magnitude of an internal force is above a given threshold. The model takes the form of a system of integro-differential coupled equations, expressed in terms of the stretch and the rotation tensors variables. Here, its derivation is generalized to consider mixed boundary conditions, which may represent a wider range of physical applications then the case with Dirichlet boundary conditions considered in our previous contribution. This also introduces nontrivial technical difficulties in the theoretical framework, related to the definition and the regularity of the solutions of elliptic operators with mixed boundary conditions. As a novel contribution, we develop the analysis of the fully non-stationary version of the system where we consider inertia. In this context, we prove the existence of a local in time weak solution in three space dimensions, employing techniques from PDEs and convex analysis.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"82 ","pages":"Article 104231"},"PeriodicalIF":1.8,"publicationDate":"2024-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535939","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Persistence and zero-Hopf equilibrium in the tritrophic food chain model with Holling functional response 具有霍林功能响应的三营养食物链模型中的持久性和零霍普夫平衡

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2024-10-19 DOI: 10.1016/j.nonrwa.2024.104232

Víctor Castellanos , Jaume Llibre

引用次数: 0

Effects of marine reserve creation in single species and prey–predator models 在单一物种和猎物-食肉动物模型中建立海洋保护区的影响

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2024-10-10 DOI: 10.1016/j.nonrwa.2024.104230

Aleksander Ćwiszewski , Sławomir Plaskacz

引用次数: 0

A simple proof of uniqueness for the nonlocal positive solutions 非局部正解唯一性的简单证明

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2024-10-10 DOI: 10.1016/j.nonrwa.2024.104233

Ming-Ming Fan, Jian-Wen Sun

引用次数: 0

Dynamic bifurcation of nonautonomous evolution equations under Landesman–Lazer condition with cohomology methods 兰德斯曼-拉泽尔条件下非自治演化方程的动态分岔与同调方法

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2024-10-05 DOI: 10.1016/j.nonrwa.2024.104228

Chunqiu Li, Jintao Wang

{"title":"Dynamic bifurcation of nonautonomous evolution equations under Landesman–Lazer condition with cohomology methods","authors":"Chunqiu Li, Jintao Wang","doi":"10.1016/j.nonrwa.2024.104228","DOIUrl":"10.1016/j.nonrwa.2024.104228","url":null,"abstract":"<div><div>In this article we study the dynamic bifurcation of nonautonomous evolution equations by using cohomology methods. First, we construct a homotopy equivalence relation between the nonautonomous system and a product flow. Then, we slightly extend some continuation theorems on bifurcations for autonomous equations, and prove some new cohomology consequences on the reduced singular groups. Based on this homotopy equivalence relation and these conclusions, we establish some typical results on the dynamic bifurcation from infinity of the abstract nonautonomous evolution equation. Finally, we consider the parabolic equation <span><math><mrow><msub><mrow><mi>u</mi></mrow><mrow><mi>t</mi></mrow></msub><mo>−</mo><mi>Δ</mi><mi>u</mi><mo>=</mo><mi>λ</mi><mi>u</mi><mo>+</mo><mi>f</mi><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>u</mi><mo>)</mo></mrow><mo>+</mo><mi>g</mi><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo>)</mo></mrow></mrow></math></span> associated with the Dirichlet boundary condition, where <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>u</mi><mo>)</mo></mrow></mrow></math></span> satisfies the appropriate Landesman–Lazer type condition. Some new results on the dynamical behaviors of this equation near resonance of the equation are derived.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"82 ","pages":"Article 104228"},"PeriodicalIF":1.8,"publicationDate":"2024-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142423045","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Local Lipschitz continuity for energy integrals with slow growth and lower order terms 具有缓慢增长和低阶项的能量积分的局部 Lipschitz 连续性

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2024-10-03 DOI: 10.1016/j.nonrwa.2024.104224

Michela Eleuteri , Stefania Perrotta , Giulia Treu

引用次数: 0

New generalization of non-autonomous Bernfeld–Haddock conjecture and its proof 非自治伯恩费尔德-哈道克猜想的新概括及其证明

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2024-10-01 DOI: 10.1016/j.nonrwa.2024.104226

Chuangxia Huang , Xiaodan Ding

引用次数: 0