Nonlinear Analysis-Real World Applications最新文献_第2页

Riemannian starshape and capacitary problems

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-03-23 DOI: 10.1016/j.nonrwa.2025.104368

Kazuhiro Ishige , Paolo Salani , Asuka Takatsu

引用次数: 0

Γ-convergence involving nonlocal gradients with varying horizon: Recovery of local and fractional models

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-03-22 DOI: 10.1016/j.nonrwa.2025.104371

Javier Cueto , Carolin Kreisbeck , Hidde Schönberger

{"title":"Γ-convergence involving nonlocal gradients with varying horizon: Recovery of local and fractional models","authors":"Javier Cueto , Carolin Kreisbeck , Hidde Schönberger","doi":"10.1016/j.nonrwa.2025.104371","DOIUrl":"10.1016/j.nonrwa.2025.104371","url":null,"abstract":"<div><div>This work revolves around the rigorous asymptotic analysis of models in nonlocal hyperelasticity. The corresponding variational problems involve integral functionals depending on nonlocal gradients with a finite interaction range <span><math><mi>δ</mi></math></span>, called the horizon. After an isotropic scaling of the associated kernel functions, we prove convergence results in the two critical limit regimes of vanishing and diverging horizon. While the nonlocal gradients localize to the classical gradient as <span><math><mrow><mi>δ</mi><mo>→</mo><mn>0</mn></mrow></math></span>, we recover the Riesz fractional gradient as <span><math><mrow><mi>δ</mi><mo>→</mo><mi>∞</mi></mrow></math></span>, irrespective of the nonlocal gradient we started with. Besides rigorous convergence statements for the nonlocal gradients, our analysis in both cases requires compact embeddings uniformly in <span><math><mi>δ</mi></math></span> as a crucial ingredient. These tools enable us to derive the <span><math><mi>Γ</mi></math></span>-convergence of quasiconvex integral functionals with varying horizon to their local and fractional counterparts, respectively.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"85 ","pages":"Article 104371"},"PeriodicalIF":1.8,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143680443","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

Note on global stability of 2D anisotropic Boussinesq equations near the hydrostatic equilibrium

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-03-22 DOI: 10.1016/j.nonrwa.2025.104370

Hua Qiu, Xia Wang

引用次数: 0

Existence and convergence analysis of second-order delay differential variational–hemivariational inequalities with memory terms

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-03-21 DOI: 10.1016/j.nonrwa.2025.104373

Jianwei Hao , Jiangfeng Han , Quansheng Liu

引用次数: 0

Enhanced dissipation and temporal decay in the Euler–Poisson–Navier–Stokes equations

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-03-14 DOI: 10.1016/j.nonrwa.2025.104365

Young-Pil Choi , Houzhi Tang , Weiyuan Zou

{"title":"Enhanced dissipation and temporal decay in the Euler–Poisson–Navier–Stokes equations","authors":"Young-Pil Choi , Houzhi Tang , Weiyuan Zou","doi":"10.1016/j.nonrwa.2025.104365","DOIUrl":"10.1016/j.nonrwa.2025.104365","url":null,"abstract":"<div><div>This paper investigates the global well-posedness and large-time behavior of solutions for a coupled fluid model in <span><math><msup><mrow><mi>R</mi></mrow><mrow><mn>3</mn></mrow></msup></math></span> consisting of the isothermal compressible Euler–Poisson system and incompressible Navier–Stokes equations coupled through the drag force. Notably, we exploit the dissipation effects inherent in the Poisson equation to achieve a faster decay of fluid density compared to velocities. This strategic utilization of dissipation, together with the influence of the electric field and the damping structure induced by the drag force, leads to a remarkable decay behavior: the fluid density converges to equilibrium at a rate of <span><math><msup><mrow><mrow><mo>(</mo><mn>1</mn><mo>+</mo><mi>t</mi><mo>)</mo></mrow></mrow><mrow><mo>−</mo><mn>11</mn><mo>/</mo><mn>4</mn></mrow></msup></math></span>, significantly faster than the decay rates of velocity differences <span><math><msup><mrow><mrow><mo>(</mo><mn>1</mn><mo>+</mo><mi>t</mi><mo>)</mo></mrow></mrow><mrow><mo>−</mo><mn>7</mn><mo>/</mo><mn>4</mn></mrow></msup></math></span> and velocities themselves <span><math><msup><mrow><mrow><mo>(</mo><mn>1</mn><mo>+</mo><mi>t</mi><mo>)</mo></mrow></mrow><mrow><mo>−</mo><mn>3</mn><mo>/</mo><mn>4</mn></mrow></msup></math></span> in the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> norm. Furthermore, under the condition of vanishing coupled incompressible flow, we demonstrate an exponential decay to a constant state for the solution of the corresponding system, the damped Euler–Poisson system.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"85 ","pages":"Article 104365"},"PeriodicalIF":1.8,"publicationDate":"2025-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143620264","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

Optimality of smallness conditions in Willmore obstacle problems under Dirichlet boundary conditions

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-03-14 DOI: 10.1016/j.nonrwa.2025.104363

Hans-Christoph Grunau , Shinya Okabe

引用次数: 0

A Hyperbolic–parabolic framework to manage traffic generated pollution

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-03-13 DOI: 10.1016/j.nonrwa.2025.104361

Rinaldo M. Colombo , Paola Goatin , Elena Rossi

引用次数: 0

Existence of weak solutions for nonisothermal immiscible compressible two-phase flow in porous media

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-03-12 DOI: 10.1016/j.nonrwa.2025.104364

B. Amaziane , M. Jurak , L. Pankratov , A. Piatnitski

{"title":"Existence of weak solutions for nonisothermal immiscible compressible two-phase flow in porous media","authors":"B. Amaziane , M. Jurak , L. Pankratov , A. Piatnitski","doi":"10.1016/j.nonrwa.2025.104364","DOIUrl":"10.1016/j.nonrwa.2025.104364","url":null,"abstract":"<div><div>We introduce a model of the time evolution of a flow of immiscible compressible fluids in porous media, taking into account the thermal effects. The problem leads to a coupled system of three nonlinear equations, two of which are degenerate. The time derivative has a new degeneracy in addition to the usual one in two-phase flows because of compressibility. We introduce a suitable weak formulation of the problem based on the total energy conservation principle. A new existence result of weak solutions of the more general model is obtained based on assumptions that are physically relevant to the problem data. The result is obtained in several steps involving an appropriate regularization and a time discretization. First we prove the existence of a weak solution for the non-degenerate problem based on obtaining a priori estimates, discrete maximum principle, and using the Leray–Schauder fixed point theorem. Finally, by using uniform estimates, our compactness result, and a suitable limit passages, we can establish the existence of a weak solution to the degenerate problem. This result is a further progress compared to the result obtained in [Math. Methods Appl. Sci. 40 (2017), no. 18, 7510–7539.], which deals with an incompressible model.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"85 ","pages":"Article 104364"},"PeriodicalIF":1.8,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143601017","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

Numerical analysis of a class of hemivariational inequalities governed by fluid–fluid coupled flow

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-03-11 DOI: 10.1016/j.nonrwa.2025.104366

Feifei Jing , Weimin Han , Guanyu Zhou

引用次数: 0

On the onset of wave-breaking and the time evolution of the maximum of horizontal velocity in rotational equatorial waves

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-03-11 DOI: 10.1016/j.nonrwa.2025.104367

Calin I. Martin

引用次数: 0