Nonlinear Analysis-Real World Applications最新文献

Global semigroup of conservative weak solutions of the two-component Novikov equation 双分量Novikov方程保守弱解的全局半群

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-04-29 DOI: 10.1016/j.nonrwa.2025.104393

K.H. Karlsen , Ya. Rybalko

引用次数: 0

The energy equality of the Navier–Stokes equations in the framework of Besov-Lorentz type spaces, and its application to the MHD system Besov-Lorentz型空间框架下Navier-Stokes方程的能量等式及其在MHD系统中的应用

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-04-29 DOI: 10.1016/j.nonrwa.2025.104389

Taichi Eguchi

引用次数: 0

Global well-posedness and large time behaviors for the generalized MHD equations 广义MHD方程的全局适定性和大时态

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-04-28 DOI: 10.1016/j.nonrwa.2025.104384

Huan Yu , Haifeng Shang

引用次数: 0

Exploring predator–prey dynamics: Integrating competitor predators, harvesting delay and fear effect on prey with a modified Beddington–DeAngelis functional response 探索捕食者-猎物动力学：整合竞争对手捕食者，利用改进的Beddington-DeAngelis功能反应收集猎物的延迟和恐惧效应

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-04-28 DOI: 10.1016/j.nonrwa.2025.104391

Anuj Kumar Umrao, Prashant K. Srivastava

{"title":"Exploring predator–prey dynamics: Integrating competitor predators, harvesting delay and fear effect on prey with a modified Beddington–DeAngelis functional response","authors":"Anuj Kumar Umrao, Prashant K. Srivastava","doi":"10.1016/j.nonrwa.2025.104391","DOIUrl":"10.1016/j.nonrwa.2025.104391","url":null,"abstract":"<div><div>Selective harvesting is a vital strategy for controlling over-exploitation and protecting the incidental killing of juvenile species. To ensure that the individuals reach a suitable age or size before being harvested, a specific time delay, known as harvesting-induced delay, should be maintained. Also, predators can indirectly slow down the growth rate of prey by inducing fear in them, which affects their behaviour and reproduction. In this work, we study a predator–prey model to examine the impact of predator selective (delayed) harvesting in the presence of fear in prey species and the interspecific competition of predator with the competitive predator. It is assumed that the density of the competitive predator is constant and both predators induce fear in prey. We determine the conditions related to the existence of transcritical and Hopf bifurcations for the non-delay case, and various delay-induced scenarios via Hopf bifurcation. We also numerically explore the impact of delayed harvesting on the system dynamics by simultaneously varying the harvesting effort, fear level, and the interspecific competition with competitive predator in bi-parametric planes. It is observed that the harvesting delay can result in stability invariance, instability invariance, stability change, instability switching, and stability switching phenomena under varied parametric conditions. Further, when the harvesting delay is fixed, the equilibrium point experiences instability invariance and instability change, instability change and instability switching, and instability invariance, stability change and stability switching with respect to the harvesting effort, the interspecific competition, and the fear level, respectively. Our findings indicate that regulated selective harvesting of predator, and a moderate level of fear in prey and interspecific competition with the competitive predator are essential for maintaining stability and coexistence in the ecosystem. The rich and complex dynamics holds significance from a biological viewpoint and may potentially impact the population management strategies.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"86 ","pages":"Article 104391"},"PeriodicalIF":1.8,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143881933","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

A class of time-dependent quasi-variational–hemivariational inequalities with applications 一类时变拟变分半变分不等式及其应用

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-04-26 DOI: 10.1016/j.nonrwa.2025.104385

Yongjian Liu , Stanisław Migórski , Sylwia Dudek

引用次数: 0

Local bifurcation structure for a free boundary problem modeling tumor growth 模拟肿瘤生长的自由边界问题的局部分岔结构

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-04-24 DOI: 10.1016/j.nonrwa.2025.104383

Wenhua He, Ruixiang Xing

{"title":"Local bifurcation structure for a free boundary problem modeling tumor growth","authors":"Wenhua He, Ruixiang Xing","doi":"10.1016/j.nonrwa.2025.104383","DOIUrl":"10.1016/j.nonrwa.2025.104383","url":null,"abstract":"<div><div>There are many papers in the literature studying a classic free boundary problem modeling 3-dimensional tumor growth, initiated by Byrne and Chaplain. One of the most important parameters is the tumor aggressiveness constant <span><math><mi>μ</mi></math></span>. Friedman and Reitich (1999) showed the problem admits a unique radially symmetric solution with the free boundary <span><math><mrow><mi>r</mi><mo>=</mo><msub><mrow><mi>R</mi></mrow><mrow><mi>S</mi></mrow></msub></mrow></math></span> when the external nutrient concentration is greater than the threshold concentration for proliferation. A sequence of papers, Fontelos and Friedman (2003), Friedman and Hu (2008) and Pan and Xing (2022) derived a sequence of symmetry-breaking branches bifurcating from the spherical state <span><math><mrow><mi>r</mi><mo>=</mo><msub><mrow><mi>R</mi></mrow><mrow><mi>S</mi></mrow></msub></mrow></math></span> at an increasing sequence of <span><math><mrow><mi>μ</mi><mo>=</mo><msub><mrow><mi>μ</mi></mrow><mrow><mi>n</mi></mrow></msub></mrow></math></span> (<span><math><mrow><mi>n</mi><mo>≥</mo><mn>2</mn></mrow></math></span>). Friedman and Hu (2008) studied the structure of the branching solution at <span><math><mrow><mi>μ</mi><mo>=</mo><msub><mrow><mi>μ</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow></math></span>. These bifurcation results cover only the direction of spherical harmonic function <span><math><msub><mrow><mi>Y</mi></mrow><mrow><mn>2</mn><mo>,</mo><mn>0</mn></mrow></msub></math></span>. In this paper, we determine a plethora of new local bifurcation structures at <span><math><mrow><mi>μ</mi><mo>=</mo><msub><mrow><mi>μ</mi></mrow><mrow><mi>n</mi></mrow></msub></mrow></math></span> for even <span><math><mrow><mi>n</mi><mo>≥</mo><mn>2</mn></mrow></math></span> in directions involving combinations of <span><math><msub><mrow><mi>Y</mi></mrow><mrow><mi>n</mi><mo>,</mo><mi>m</mi></mrow></msub></math></span> for <span><math><mrow><mi>m</mi><mo>≠</mo><mn>0</mn></mrow></math></span>.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"86 ","pages":"Article 104383"},"PeriodicalIF":1.8,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143864087","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

A meshless geometric conservation weighted least square method for solving the shallow water equations 求解浅水方程组的无网格几何守恒加权最小二乘法

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-04-09 DOI: 10.1016/j.nonrwa.2025.104382

D. Satyaprasad , Soumendra Nath Kuiry , S. Sundar

{"title":"A meshless geometric conservation weighted least square method for solving the shallow water equations","authors":"D. Satyaprasad , Soumendra Nath Kuiry , S. Sundar","doi":"10.1016/j.nonrwa.2025.104382","DOIUrl":"10.1016/j.nonrwa.2025.104382","url":null,"abstract":"<div><div>The shallow water equations are numerically solved to simulate free surface flows. The convective flux terms in the shallow water equations need to be discretized using a Riemann solver to capture shocks and discontinuity for certain flow situations such as hydraulic jump, dam-break wave propagation or bore wave propagation, levee-breaching flows, etc. The approximate Riemann solver can capture shocks and is popular for studying open-channel flow dynamics with traditional mesh-based numerical methods. Though meshless methods can work on highly irregular geometry without involving the complex mesh generation procedure, the shock-capturing capability has not been implemented, especially for solving open-channel flows. Therefore, we have proposed a numerical method, namely, a shock-capturing meshless geometric conservation weighted least square (GC-WLS) method for solving the shallow water equations. The HLL (Harten–Lax–Van Leer) Riemann solver is implemented within the framework of the proposed meshless method. The spatial derivatives in the shallow water equations and the reconstruction of conservative variables for high-order accuracy are computed using the GC-WLS method. The proposed meshless method is tested for various numerically challenging open-channel flow problems, including analytical, laboratory experiments, and a large-scale physical model study on dam-break event.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"85 ","pages":"Article 104382"},"PeriodicalIF":1.8,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143800656","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

Asymptotic behavior of thin ferroelectric models 薄铁电模型的渐近行为

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-03-31 DOI: 10.1016/j.nonrwa.2025.104379

Kamel Hamdache , Djamila Hamroun

{"title":"Asymptotic behavior of thin ferroelectric models","authors":"Kamel Hamdache , Djamila Hamroun","doi":"10.1016/j.nonrwa.2025.104379","DOIUrl":"10.1016/j.nonrwa.2025.104379","url":null,"abstract":"<div><div>It was pointed out in Shaw et al. (2000) that the boundary conditions satisfied by the polarization play an important role in the description of the thin-limit of ferroelectric materials. In this work we confirm the importance of this choice. In the present work, we consider the limiting process as the thickness <span><math><mi>h</mi></math></span> of a thin cylinder of <span><math><msup><mrow><mi>R</mi></mrow><mrow><mn>3</mn></mrow></msup></math></span> goes to 0, and when the polarization satisfies two different boundary conditions. The first type of boundary conditions leads to an in-plane model or <span><math><mrow><mn>2</mn><mi>d</mi><mo>−</mo><mn>2</mn><mi>d</mi></mrow></math></span> configuration while the second one leads to an (in-plane)-(out-of-plane) model for the displacement and the polarization namely a <span><math><mrow><mn>2</mn><mi>d</mi><mo>−</mo><mn>3</mn><mi>d</mi></mrow></math></span> configuration. Moreover, the thin-limit process in both cases induces a change of the Lamé coefficients in the displacement equation, the coupling coefficient between the displacement and polarization equations, the double wells potential of the polarization together to a new contribution in the equation of the out-of-plane component of the polarization for the <span><math><mrow><mn>2</mn><mi>d</mi><mo>−</mo><mn>3</mn><mi>d</mi></mrow></math></span> model. The techniques used rely on a rescaling method that penalizes the out-of-plane variable. Uniform bounds with respect to <span><math><mi>h</mi></math></span> are established, compactness techniques are employed, and the limits of the penalized terms are identified.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"85 ","pages":"Article 104379"},"PeriodicalIF":1.8,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143737919","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

Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer 存在传质的连续非线性破碎方程的保质量弱解

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-03-31 DOI: 10.1016/j.nonrwa.2025.104381

Ram Gopal Jaiswal, Ankik Kumar Giri

{"title":"Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer","authors":"Ram Gopal Jaiswal, Ankik Kumar Giri","doi":"10.1016/j.nonrwa.2025.104381","DOIUrl":"10.1016/j.nonrwa.2025.104381","url":null,"abstract":"<div><div>A mathematical model for the continuous nonlinear fragmentation equation is considered in the presence of mass transfer. In this paper, we demonstrate the existence of mass-conserving weak solutions to the nonlinear fragmentation equation with mass transfer for collision kernels of the form <span><math><mrow><mi>Φ</mi><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo></mrow><mo>=</mo><mi>κ</mi><mrow><mo>(</mo><msup><mrow><mi>x</mi></mrow><mrow><msub><mrow><mi>σ</mi></mrow><mrow><mn>1</mn></mrow></msub></mrow></msup><msup><mrow><mi>y</mi></mrow><mrow><msub><mrow><mi>σ</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow></msup><mo>+</mo><msup><mrow><mi>y</mi></mrow><mrow><msub><mrow><mi>σ</mi></mrow><mrow><mn>1</mn></mrow></msub></mrow></msup><msup><mrow><mi>x</mi></mrow><mrow><msub><mrow><mi>σ</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow></msup><mo>)</mo></mrow></mrow></math></span>, <span><math><mrow><mi>κ</mi><mo>></mo><mn>0</mn></mrow></math></span>, <span><math><mrow><mn>0</mn><mo>≤</mo><msub><mrow><mi>σ</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>≤</mo><msub><mrow><mi>σ</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>≤</mo><mn>1</mn></mrow></math></span>, and <span><math><mrow><msub><mrow><mi>σ</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>≠</mo><mn>1</mn></mrow></math></span> for <span><math><mrow><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo></mrow><mo>∈</mo><msubsup><mrow><mi>R</mi></mrow><mrow><mo>+</mo></mrow><mrow><mn>2</mn></mrow></msubsup></mrow></math></span>, with integrable daughter distribution functions, thereby extending previous results obtained by Giri & Laurençot (2021). In particular, the existence of at least one global weak solution is shown when the collision kernel exhibits at least linear growth, and one local weak solution when the collision kernel exhibits sublinear growth. In both cases, finite superlinear moment bounds are obtained for positive times without requiring the finiteness of initial superlinear moments. Additionally, the uniqueness of solutions is confirmed in both cases.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"85 ","pages":"Article 104381"},"PeriodicalIF":1.8,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143737920","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

Weak asymptotic analysis approach for first order scalar conservation laws with nonlocal flux 具有非局部通量的一阶标量守恒律的弱渐近分析方法

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-03-29 DOI: 10.1016/j.nonrwa.2025.104378

Eduardo Abreu , Richard De la cruz , Juan Juajibioy , Wanderson Lambert

引用次数: 0