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Zeitschrift für angewandte Mathematik und Physik最新文献

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Traveling wave solutions in a modified Leslie–Gower model with diffusion and chemotaxis 具有扩散和趋化作用的改良莱斯利-高尔模型中的行波解法
Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-08-10 DOI: 10.1007/s00033-024-02308-6
Dong Li, Nengxing Tan, Huanhuan Qiu
{"title":"Traveling wave solutions in a modified Leslie–Gower model with diffusion and chemotaxis","authors":"Dong Li, Nengxing Tan, Huanhuan Qiu","doi":"10.1007/s00033-024-02308-6","DOIUrl":"https://doi.org/10.1007/s00033-024-02308-6","url":null,"abstract":"","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":"18 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141920979","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
An accurate numerical technique for solving fractional advection–diffusion equation with generalized Caputo derivative 用广义卡普托导数求解分数平流-扩散方程的精确数值技术
Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-08-08 DOI: 10.1007/s00033-024-02309-5
A. M. Nagy, K. Issa
{"title":"An accurate numerical technique for solving fractional advection–diffusion equation with generalized Caputo derivative","authors":"A. M. Nagy, K. Issa","doi":"10.1007/s00033-024-02309-5","DOIUrl":"https://doi.org/10.1007/s00033-024-02309-5","url":null,"abstract":"","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":"18 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141927627","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 classical solutions to an indirect chemotaxis-consumption model with signal-dependent degenerate diffusion and logistic source 具有信号依赖性退化扩散和逻辑源的间接趋化-消费模型的全局经典解法
Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-08-05 DOI: 10.1007/s00033-024-02303-x
Meng Zheng, Liangchen Wang
{"title":"Global classical solutions to an indirect chemotaxis-consumption model with signal-dependent degenerate diffusion and logistic source","authors":"Meng Zheng, Liangchen Wang","doi":"10.1007/s00033-024-02303-x","DOIUrl":"https://doi.org/10.1007/s00033-024-02303-x","url":null,"abstract":"<p>This paper deals with the following indirect chemotaxis-consumption model with signal-dependent degenerate diffusion and logistic source </p><span>$$begin{aligned} left{ begin{array}{llll} u_t = Delta left( u v^alpha right) +au-bu^l,quad &amp;{}xin Omega ,t&gt;0, v_t= Delta v - vw,quad &amp;{}xin Omega ,t&gt;0, w_t = - delta w + u,quad &amp;{}xin Omega ,t&gt;0, end{array} right. end{aligned}$$</span><p>under homogeneous Neumann boundary conditions in a smooth bounded domain <span>(Omega subset mathbb {R}^n)</span> (<span>(nge 1)</span>). Here, the parameters <span>(a&gt;0)</span>, <span>(b&gt;0)</span>, <span>(alpha ge 1)</span>, <span>(delta &gt;0)</span> and <span>(l ge 2)</span>. For all suitably regular initial data, if one of the following cases holds: </p><ol>\u0000<li>\u0000<span>(i)</span>\u0000<p><span>(l &gt; 2)</span>;</p>\u0000</li>\u0000<li>\u0000<span>(ii)</span>\u0000<p><span>(l =2, nle 3)</span>;</p>\u0000</li>\u0000<li>\u0000<span>(iii)</span>\u0000<p><span>(l = 2, n ge 4,)</span> and <i>b</i> is sufficiently large, then the corresponding initial boundary value problem possesses a global classical solution.</p>\u0000</li>\u0000</ol>","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":"78 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141934599","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 an inverse problem of determining electromagnetic parameters in Maxwell’s equations from partial boundary measurements 关于根据部分边界测量确定麦克斯韦方程中电磁参数的逆问题
Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-08-05 DOI: 10.1007/s00033-024-02299-4
Christian Daveau, Islem Ben Hnia, Abdessatar Khelifi
{"title":"On an inverse problem of determining electromagnetic parameters in Maxwell’s equations from partial boundary measurements","authors":"Christian Daveau, Islem Ben Hnia, Abdessatar Khelifi","doi":"10.1007/s00033-024-02299-4","DOIUrl":"https://doi.org/10.1007/s00033-024-02299-4","url":null,"abstract":"<p>In this paper, we deal with an inverse boundary value problem for the Maxwell equations with boundary data assumed known only in accessible part <span>(Gamma )</span> of the boundary. We aim to prove uniqueness results using the Dirichlet to Neumann data with measurements limited to an open part of the boundary and we seek to reconstruct the complex refractive index <span>({{varvec{n}}})</span> in the interior of a body. Further, using the impedance map restricted to <span>(Gamma )</span>, we may identify locations of small volume fraction perturbations of the refractive index.</p>","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141934683","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 existence and boundedness in a chemotaxis model with singular sensitivity and nonlocal term 具有奇异敏感性和非局部项的趋化模型中的全局存在性和有界性
Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-08-05 DOI: 10.1007/s00033-024-02302-y
Wenping Du, Suying Liu, Wenji Zhang
{"title":"Global existence and boundedness in a chemotaxis model with singular sensitivity and nonlocal term","authors":"Wenping Du, Suying Liu, Wenji Zhang","doi":"10.1007/s00033-024-02302-y","DOIUrl":"https://doi.org/10.1007/s00033-024-02302-y","url":null,"abstract":"<p>The chemotaxis system </p><span>$$begin{aligned} left{ begin{aligned}&amp;u_t=Delta u-chi nabla cdot left( frac{u}{v}nabla vright) + u^{alpha }left( gamma -mu int limits _{Omega }u^{beta }right) ,{} &amp; {} xin Omega ,t&gt;0,&amp;v_t=epsilon Delta v-v+u,{} &amp; {} xin Omega ,t&gt;0, end{aligned}right. end{aligned}$$</span><p>is considered under homogeneous Neumann boundary conditions in smoothly bounded domain <span>(Omega subseteq mathbb {R}^n)</span>, <span>(nge 2)</span>, with constants <span>(0&lt;epsilon &lt;1)</span>, <span>(0&lt;chi &lt;1-epsilon )</span>. It is asserted that the problem possesses a uniquely global classical solution whenever the numbers <span>(alpha , beta )</span> satisfy <span>(1&lt;alpha &lt;2)</span>, <span>(beta &gt;frac{n}{2}+alpha -1)</span> or <span>(alpha ge 2)</span>, <span>(beta &gt;frac{n}{2}(alpha -1)+1)</span>. Moreover, it is shown that if <span>(1&lt;alpha &lt;2)</span>, <span>(beta &gt;max {frac{n}{2}+alpha -1, frac{(alpha -1)(1-epsilon )}{(2-alpha )chi }+1})</span> and <span>(gamma &gt;0)</span> is sufficiently large, then the global-in-time solution is uniformly bounded. In addition, we get similar results for the case of <span>(n=1)</span>, which is worth mentioning that the requirement for <span>(epsilon )</span> and <span>(chi )</span> is very weak in the global existence result.</p>","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141934600","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 triangular fractal plate bending element 三角形分形板弯曲元件
Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-08-05 DOI: 10.1007/s00033-024-02300-0
Marcelo Epstein, Philip Vernon
{"title":"A triangular fractal plate bending element","authors":"Marcelo Epstein, Philip Vernon","doi":"10.1007/s00033-024-02300-0","DOIUrl":"https://doi.org/10.1007/s00033-024-02300-0","url":null,"abstract":"<p>The stiffness matrix of a structural Sierpiński triangle under conditions of transversal bending is presented. The derivation is based exclusively on considerations of symmetry, equilibrium, and self-similarity. As a result, the stiffness matrix is shown to depend on a single material parameter. An illustrative numerical example is presented on the basis of an ad hoc computer code for the assembled stiffness of an overall structure consisting of a grid of fractal elements.\u0000</p>","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":"39 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141934679","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 asymptotic stability of diverging traveling waves for reaction–advection–diffusion equations in cylinders 圆柱体中反应-平流-扩散方程发散行波的渐近稳定性
Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-08-05 DOI: 10.1007/s00033-024-02298-5
Fu-Jie Jia, Zhi-Cheng Wang, Gai-Hui Guo
{"title":"The asymptotic stability of diverging traveling waves for reaction–advection–diffusion equations in cylinders","authors":"Fu-Jie Jia, Zhi-Cheng Wang, Gai-Hui Guo","doi":"10.1007/s00033-024-02298-5","DOIUrl":"https://doi.org/10.1007/s00033-024-02298-5","url":null,"abstract":"<p>This paper is devoted to the asymptotic stability of diverging traveling waves for reaction–advection–diffusion equation <span>(u_{t}-Delta u+alpha (t,y)u_{x}=f(t,y,u))</span> in cylinders. By the sliding method, we first establish a Liouville-type result. Then, using the Liouville-type result and truncation technique, we prove the asymptotic stability of the diverging traveling wave.</p>","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141934666","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 sign-changing solutions for a class of Kirchhoff-type problems with critical Sobolev exponents in bounded domains 有界域中具有临界索波列夫指数的一类基尔霍夫型问题的符号变化解
Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-08-05 DOI: 10.1007/s00033-024-02297-6
Xiaoxue Zhu, Haining Fan
{"title":"The sign-changing solutions for a class of Kirchhoff-type problems with critical Sobolev exponents in bounded domains","authors":"Xiaoxue Zhu, Haining Fan","doi":"10.1007/s00033-024-02297-6","DOIUrl":"https://doi.org/10.1007/s00033-024-02297-6","url":null,"abstract":"<p>In this paper, we study the following Kirchhoff-type problem with critical nonlinearity </p><span>$$begin{aligned} left{ begin{array}{ll} -left( a+bdisplaystyle int limits _Omega |nabla u|^2textrm{d}xright) Delta u=lambda f(x)|u|^{p-2}u+|u|^4u,xin Omega , u=0,~~~~~xin partial Omega , end{array}right. end{aligned}$$</span><p>where <span>(Omega )</span> is a smooth bounded domain in <span>(mathbb {R}^3)</span>, <span>(a&gt;0)</span> is a constant, <span>(b,lambda )</span> are positive parameters and <span>(2&lt;p&lt;4)</span>. Under different assumptions on the nonlinearity, the equation has been extensively considered in the case <span>(4&lt;p&lt;6)</span>. By contrast, there is no existence result of solutions for the case <span>(2&lt;p&lt;4)</span> since the appearance of the nonlocal term. By using some innovative analytical skills, we obtain the existence results about the sign-changing solutions of this problem. Furthermore, we also present asymptotic behaviors of the sign-changing solutions as <span>(bsearrow 0)</span> or <span>(lambda searrow 0)</span>.</p>","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141934601","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
Propagation dynamics for a spatial discrete virus model with HIV viral load and 2-LTR dynamics 具有 HIV 病毒载量和 2-LTR 动态的空间离散病毒模型的传播动力学
Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-07-30 DOI: 10.1007/s00033-024-02292-x
Jinling Zhou, Yu Yang, Cheng-Hsiung Hsu
{"title":"Propagation dynamics for a spatial discrete virus model with HIV viral load and 2-LTR dynamics","authors":"Jinling Zhou, Yu Yang, Cheng-Hsiung Hsu","doi":"10.1007/s00033-024-02292-x","DOIUrl":"https://doi.org/10.1007/s00033-024-02292-x","url":null,"abstract":"<p>This paper considers the wave propagation for a spatial discrete virus model with HIV viral load and 2-LTR dynamics during high active antiretroviral therapy. Applying Schauder fixed point theorem, technique of Lyapunov function and limiting arguments, we establish the existence of traveling wave solutions for the virus model when the basic reproduction number is larger than one and the wave speed is not less than a threshold speed. Then, using the methods of comparison principle and Laplace transform, we prove the nonexistence of traveling wave solutions when the basic reproduction number is either smaller than one; or larger than one but the wave speeds are less than the threshold speed. Indeed, the threshold speed is minimum wave speed for the propagation of traveling waves. We further show that the three classes of inhibitor can decrease the minimum wave speed; while the diffusion rate of visions will increase the minimum wave speed.</p>","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":"96 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141872249","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
Modified solution for a harmonic hole in a soft elastic solid under plane deformation 平面变形下软弹性固体中谐波孔的修正解法
Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-07-30 DOI: 10.1007/s00033-024-02294-9
Junfeng Lu, Yu-Hao Zhang, Pengyu Pei, Ming Dai
{"title":"Modified solution for a harmonic hole in a soft elastic solid under plane deformation","authors":"Junfeng Lu, Yu-Hao Zhang, Pengyu Pei, Ming Dai","doi":"10.1007/s00033-024-02294-9","DOIUrl":"https://doi.org/10.1007/s00033-024-02294-9","url":null,"abstract":"<p>We consider a hole embedded in an elastic solid under plane deformation. The solid undergoes a uniform far-field loading while the boundary of the hole is subjected to a uniform pressure. We revisit the design of a harmonic hole such that the mean stress in the entire solid remains constant. We additionally incorporate the change in the direction of the pressure inside the hole in determining the harmonic shape of the hole in case the deformation around the hole is relatively large. We show that the harmonic shape of the hole remains elliptical but its aspect ratio is different from that predicted by the classical solution. We discuss via several numerical examples the differences between the current modified harmonic shape and the classical counterpart as well as how the directional change of the internal pressure influences the aspect ratio of the elliptical harmonic hole within a soft elastic solid.</p>","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":"74 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141872322","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
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