Studies in Applied Mathematics最新文献_第3页

On a Bistable Delayed Nonlinear Reaction–Diffusion Equation for a Two-Phase Free Boundary: Semi-Wave and Its Numerical Simulation

IF 2.6 2区数学

Studies in Applied Mathematics Pub Date : 2025-02-18 DOI: 10.1111/sapm.70024

Thanh-Hieu Nguyen

引用次数: 0

Breather and Rogue Wave Solutions on the Different Periodic Backgrounds in the Focusing Nonlinear Schrödinger Equation

IF 2.6 2区数学

Studies in Applied Mathematics Pub Date : 2025-02-13 DOI: 10.1111/sapm.70026

Fang-Cheng Fan, Wang Tang, Guo-Fu Yu

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引用次数: 0

Rarefaction Wave Interaction and Existence of a Global Smooth Solution in the Blood Flow Model With Time-Dependent Body Force

IF 2.6 2区数学

Studies in Applied Mathematics Pub Date : 2025-02-13 DOI: 10.1111/sapm.70025

Rakib Mondal, Minhajul

{"title":"Rarefaction Wave Interaction and Existence of a Global Smooth Solution in the Blood Flow Model With Time-Dependent Body Force","authors":"Rakib Mondal,  Minhajul","doi":"10.1111/sapm.70025","DOIUrl":"https://doi.org/10.1111/sapm.70025","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper presents the collision between two rarefaction waves for the one-dimensional blood flow model with non-constant body force. We establish the Riemann solutions using phase plane analysis, which are no longer self-similar. By employing Riemann invariants, we transform the system into a non-reducible diagonal system in Riemann invariant coordinates. This interaction problem then becomes a Goursat boundary value problem (GBVP) within the interaction region. We demonstrate that no vacuum forms within the interaction domain if the boundary data on characteristics is vacuum-free, and a vacuum only appears if the two rarefaction waves fail to penetrate each other within a finite time. Furthermore, we prove the existence and uniqueness of the <span></span><math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>C</mi>\u0000 <mn>1</mn>\u0000 </msup>\u0000 <annotation>$C^1$</annotation>\u0000 </semantics></math> solution to the GBVP throughout the entire interaction region using <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mtext>a priori</mtext>\u0000 <mspace></mspace>\u0000 <msup>\u0000 <mi>C</mi>\u0000 <mn>1</mn>\u0000 </msup>\u0000 </mrow>\u0000 <annotation>$text{a priori} ; C^1$</annotation>\u0000 </semantics></math> bounds. Finally, we present the results of the interaction, showing that either the rarefaction waves completely penetrate each other or form a vacuum in the solution at a sufficiently large time during the process of penetration.</p></div>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"154 2","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143404662","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 a Degenerate Forest Kinematic Model With a Perturbation 具有扰动的退化森林运动学模型的渐近行为

IF 2.6 2区数学

Studies in Applied Mathematics Pub Date : 2025-02-11 DOI: 10.1111/sapm.70014

Lu LI, Guillaume Cantin

{"title":"Asymptotic Behavior of a Degenerate Forest Kinematic Model With a Perturbation","authors":"Lu LI, Guillaume Cantin","doi":"10.1111/sapm.70014","DOIUrl":"https://doi.org/10.1111/sapm.70014","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper, we study the asymptotic behavior of the global solutions to a degenerate forest kinematic model, under the action of a perturbation modeling the impact of climate change. In the case where the main nonlinear term of the model is monotone, we prove that the global solutions converge to a stationary solution, by showing that the Lyapunov function derived from the system satisfies a Łojasiewicz–Simon gradient inequality. We also present an original algorithm, based on the Statistical Model Checking framework, to estimate the probability of convergence toward nonconstant equilibria. Furthermore, under suitable assumptions on the parameters, we prove the continuity of the flow and of the stationary solutions with respect to the perturbation parameter. Then, we succeed in proving the robustness of the weak attractors, by considering a weak topology phase space and establishing the existence of a family of positively invariant regions. At last, we present numerical simulations of the model and explore the behavior of the solutions under the effect of several types of perturbations. We also show that the forest kinematic model can lead to the emergence of chaotic patterns.</p></div>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"154 2","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143389181","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Detecting (the Absence of) Species Interactions in Microbial Ecological Systems

IF 2.6 2区数学

Studies in Applied Mathematics Pub Date : 2025-02-09 DOI: 10.1111/sapm.70009

Thomas Beardsley, Megan Behringer, Natalia L. Komarova

引用次数: 0

Smoothing of the Higher-Order Stokes Phenomenon

IF 2.6 2区数学

Studies in Applied Mathematics Pub Date : 2025-02-09 DOI: 10.1111/sapm.70008

Chris J. Howls, John R. King, Gergő Nemes, Adri B. Olde Daalhuis

{"title":"Smoothing of the Higher-Order Stokes Phenomenon","authors":"Chris J. Howls, John R. King, Gergő Nemes, Adri B. Olde Daalhuis","doi":"10.1111/sapm.70008","DOIUrl":"https://doi.org/10.1111/sapm.70008","url":null,"abstract":"<p>For over a century, the Stokes phenomenon had been perceived as a discontinuous change in the asymptotic representation of a function. In 1989, Berry demonstrated it is possible to smooth this discontinuity in broad classes of problems with the prefactor for the exponentially small contribution switching on/off taking a universal error function form. Following pioneering work of Berk, Nevins, and Roberts and the Japanese school of formally exact asymptotics, the concept of the higher-order Stokes phenomenon was introduced, whereby the ability for the exponentially small terms to cause a Stokes phenomenon may change, depending on the values of parameters in the problem, corresponding to the associated Borel-plane singularities transitioning between Riemann sheets. Until now, the higher-order Stokes phenomenon has also been treated as a discontinuous event. In this paper, we show how the higher-order Stokes phenomenon is also smooth and occurs universally with a prefactor that takes the form of a new special function, based on a Gaussian convolution of an error function. We provide a rigorous derivation of the result, with examples spanning the gamma function, a second-order nonlinear ODE, and the telegraph equation, giving rise to a ghost-like smooth contribution present in the vicinity of a Stokes line, but which rapidly tends to zero on either side. We also include a rigorous derivation of the effect of the smoothed higher-order Stokes phenomenon on the individual terms in the asymptotic series, where the additional contributions appear prefactored by an error function.</p>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"154 2","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/sapm.70008","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143380162","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

Evolution of Dispersal in a Stream With Better Resources at Downstream Locations

IF 2.6 2区数学

Studies in Applied Mathematics Pub Date : 2025-02-07 DOI: 10.1111/sapm.70017

Kuiyue Liu, De Tang, Shanshan Chen

{"title":"Evolution of Dispersal in a Stream With Better Resources at Downstream Locations","authors":"Kuiyue Liu,  De Tang, Shanshan Chen","doi":"10.1111/sapm.70017","DOIUrl":"https://doi.org/10.1111/sapm.70017","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper is concerned with a two-species Lotka–Volterra competition patch model over a stream with better resources at downstream locations. Treating one species as the resident species and the other one as a mutant species, we first show that there exist two quantities <span></span><math>\u0000 <semantics>\u0000 <mover>\u0000 <mi>d</mi>\u0000 <mo>¯</mo>\u0000 </mover>\u0000 <annotation>$overline{d}$</annotation>\u0000 </semantics></math> and <span></span><math>\u0000 <semantics>\u0000 <munder>\u0000 <mi>d</mi>\u0000 <mo>̲</mo>\u0000 </munder>\u0000 <annotation>$underline{d}$</annotation>\u0000 </semantics></math> depending on the drift rate: if the dispersal rate of the resident species is smaller (respectively, larger) than <span></span><math>\u0000 <semantics>\u0000 <munder>\u0000 <mi>d</mi>\u0000 <mo>̲</mo>\u0000 </munder>\u0000 <annotation>$underline{d}$</annotation>\u0000 </semantics></math> (respectively, <span></span><math>\u0000 <semantics>\u0000 <mover>\u0000 <mi>d</mi>\u0000 <mo>¯</mo>\u0000 </mover>\u0000 <annotation>$overline{d}$</annotation>\u0000 </semantics></math>), then a rare mutant species can invade only when its dispersal rate is faster (respectively, slower) than the resident species. Then, we show that there exists some intermediate dispersal rate, which is the unique evolutionarily stable strategy for the resident species under certain conditions. Moreover, the global dynamics of the model is obtained, and both competition exclusion and coexistence can occur. Our method for the patch model can be used for the corresponding reaction–diffusion model, and some existing results are improved.</p></div>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"154 2","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143362444","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Integrable Hierarchy for Homogeneous Realization of the Toroidal Lie Algebra L r + 1 tor ( sl ℓ ) $mathcal {L}^{mathrm{tor}}_{r+1}(mathfrak {sl}_ell)$

IF 2.6 2区数学

Studies in Applied Mathematics Pub Date : 2025-02-07 DOI: 10.1111/sapm.70021

Chao-Zhong Wu, Yi Yang

{"title":"Integrable Hierarchy for Homogeneous Realization of the Toroidal Lie Algebra \u0000 \u0000 \u0000 \u0000 L\u0000 \u0000 r\u0000 +\u0000 1\u0000 \u0000 tor\u0000 \u0000 \u0000 (\u0000 \u0000 sl\u0000 ℓ\u0000 \u0000 )\u0000 \u0000 \u0000 $mathcal {L}^{mathrm{tor}}_{r+1}(mathfrak {sl}_ell)$","authors":"Chao-Zhong Wu, Yi Yang","doi":"10.1111/sapm.70021","DOIUrl":"https://doi.org/10.1111/sapm.70021","url":null,"abstract":"<div>\u0000 \u0000 <p>Starting from a fairly explicit homogeneous realization of the toroidal Lie algebra <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msubsup>\u0000 <mi>L</mi>\u0000 <mrow>\u0000 <mi>r</mi>\u0000 <mo>+</mo>\u0000 <mn>1</mn>\u0000 </mrow>\u0000 <mi>tor</mi>\u0000 </msubsup>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <msub>\u0000 <mi>sl</mi>\u0000 <mi>ℓ</mi>\u0000 </msub>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 </mrow>\u0000 <annotation>$mathcal {L}^{mathrm{tor}}_{r+1}(mathfrak {sl}_ell)$</annotation>\u0000 </semantics></math> via a lattice vertex algebra, we derive an integrable hierarchy of Hirota bilinear equations. Moreover, we represent this hierarchy in the form of Lax equations, and show that it is an extension of a certain reduction of the <span></span><math>\u0000 <semantics>\u0000 <mi>ℓ</mi>\u0000 <annotation>$ell$</annotation>\u0000 </semantics></math>-component KP hierarchy.</p></div>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"154 2","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143362443","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Complex Band Structure for Subwavelength Evanescent Waves

IF 2.6 2区数学

Studies in Applied Mathematics Pub Date : 2025-02-06 DOI: 10.1111/sapm.70022

Yannick De Bruijn, Erik Orvehed Hiltunen

引用次数: 0

Issue Information-TOC

IF 2.6 2区数学

Studies in Applied Mathematics Pub Date : 2025-02-06 DOI: 10.1111/sapm.70023

引用次数: 0