Hong, Wei; Li, Shihu; Sun, Xiaobin Diffusion approximation for multi-scale McKean-Vlasov SDEs through different methods. (English) Zbl 07941664 J. Differ. Equations 414, 405-454 (2025). MSC: 60H10 60F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sui, Shiyou; Xu, Weijiao Bounding the number of limit cycles for perturbed piecewise linear Hamiltonian system. (English) Zbl 07941014 J. Math. Anal. Appl. 542, No. 2, Article ID 128866, 14 p. (2025). Reviewer: Xingwu Chen (Chengdu) MSC: 34A36 34A30 37J40 34C07 34C05 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Diana, Derick; Gebbie, Tim Non-uniformly sampled simulated price impact of an order-book. (English) Zbl 07939172 J. Comput. Appl. Math. 456, Article ID 116202, 39 p. (2025). MSC: 91-04 91G60 91G80 × Cite Format Result Cite Review PDF Full Text: DOI
Peng, Gang; Yang, Di An arbitrary Lagrangian-Eulerian positivity-preserving finite volume scheme for radiation hydrodynamics equations in the equilibrium-diffusion limit. (English) Zbl 07939167 J. Comput. Appl. Math. 455, Article ID 116156, 23 p. (2025). MSC: 65Mxx 76Mxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Lasalle, Etienne Heat diffusion distance processes: a statistically founded method to analyze graph data sets. (English) Zbl 07955449 J. Appl. Comput. Topol. 8, No. 5, 1299-1331 (2024). MSC: 05C50 60J60 60F05 55N31 62G15 62G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grigorescu, Ilie; Kang, Min Asymptotics and criticality for a space-dependent branching process. (English) Zbl 07953395 Stochastics 96, No. 3, 1093-1118 (2024). MSC: 60J35 60J80 47D07 60K35 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Xiaojing; Sun, Wenjun; Li, Qi The asymptotic preserving unified gas kinetic scheme for the multi-scale kinetic SIR epidemic model. (English) Zbl 07953235 Comput. Math. Appl. 174, 298-324 (2024). MSC: 76-XX 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Kleptsyna, Marina; Piatnitski, Andrey; Popier, Alexandre Higher order homogenization for random non-autonomous parabolic operators. (English) Zbl 07949666 Stoch. Partial Differ. Equ., Anal. Comput. 12, No. 4, 2151-2180 (2024). MSC: 35B27 35K15 60F05 60H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pu, Zhe; Guo, Jianxiu; Li, Dingshi Invariant measures for stochastic reaction-diffusion problems on unbounded thin domains driven by nonlinear noise. (English) Zbl 07939106 J. Theor. Probab. 37, No. 4, 3781-3802 (2024). MSC: 37L40 37L55 35B40 60H15 × Cite Format Result Cite Review PDF Full Text: DOI
Morel, Jim E. Diffusion asymptotics with fully anisotropic source and scattering. (English) Zbl 07938988 J. Comput. Theor. Transp. 53, No. 6, 463-467 (2024). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Yan, Shuo Fast-oscillating random perturbations of Hamiltonian systems. (English) Zbl 07938783 Probab. Theory Relat. Fields 190, No. 3-4, 1199-1260 (2024). MSC: 37J40 60F17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Min; Xiang, Zhaoyin Characterization of initial layer for fast chemical diffusion limit in Keller-Segel system. (English) Zbl 07938213 Acta Appl. Math. 194, Paper No. 1, 24 p. (2024). MSC: 35B25 35K45 35K59 92C17 × Cite Format Result Cite Review PDF Full Text: DOI
Ankirchner, S.; Kazi-Tani, N.; Wendt, J.; Zhou, C. Mean-field ranking games with diffusion control. (English) Zbl 07937743 Math. Financ. Econ. 18, No. 2-3, 313-331 (2024). MSC: 91A15 91A06 91A10 91A16 93E20 × Cite Format Result Cite Review PDF Full Text: DOI
Ben Ali, Samia; Tayeb, Mohamed Lazhar Diffusion limit of a Boltzmann-Poisson system: case of general inflow boundary data profile. (English) Zbl 07937661 Tunis. J. Math. 6, No. 3, 455-479 (2024). MSC: 35B25 35B27 35B45 35B51 35Q20 54C70 82B21 × Cite Format Result Cite Review PDF Full Text: DOI
Soresina, Cinzia; Tang, Bao Quoc; Tran, Bao-Ngoc Fast-reaction limits for predator-prey reaction-diffusion systems: improved convergence. (English) Zbl 07936191 Engel, Maximilian (ed.) et al., Topics in multiple time scale dynamics. Workshop, Banff International Research Station, Banff, Alberta, Canada, November 27 – December 2, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 806, 173-187 (2024). MSC: 35B25 35B40 35K51 35K57 35Q94 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kagaya, Takashi; Tsunoda, Kenkichi Sharp interface limit for a quasi-linear large deviation rate function. (English) Zbl 07935035 Math. Phys. Anal. Geom. 27, No. 4, Paper No. 21, 37 p. (2024). MSC: 60F10 53E10 82C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grothaus, Martin; Wittmann, Simon Mosco convergence of gradient forms with non-convex interaction potential. (English) Zbl 07931443 Integral Equations Oper. Theory 96, No. 4, Paper No. 29, 69 p. (2024). MSC: 60J46 47D07 82M10 60B12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Strunjak, Snježana Lubura Stable convergence in law in approximation of stochastic integrals with respect to diffusions. (English) Zbl 07929239 Math. Commun. 29, No. 2, 287-305 (2024). MSC: 60H05 60F99 × Cite Format Result Cite Review PDF Full Text: Link
Wang, Yinghui; Wen, Huanyao The vanishing diffusion limit for an Oldroyd-B model in \(\mathbb{R}^2_+\). (English) Zbl 07928641 SIAM J. Math. Anal. 56, No. 5, 6551-6612 (2024). MSC: 35Q35 76A10 76D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Béthencourt, Loïc Fractional diffusion limit for a kinetic Fokker-Planck equation with diffusive boundary conditions in the half-line. (English) Zbl 07926185 Ann. Probab. 52, No. 5, 1713-1757 (2024). Reviewer: Pavel Stoynov (Sofia) MSC: 60F17 60J55 60J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Shen, Liang-Bin; Han, Bang-Sheng Propagating terrace in a periodic reaction-diffusion equation with convection. (English) Zbl 07924007 J. Appl. Anal. Comput. 14, No. 3, 1395-1413 (2024). MSC: 35B35 35K15 35K57 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
She, Gaoyang; Yi, Fengqi Stability and bifurcation analysis of a reaction-diffusion SIRS epidemic model with the general saturated incidence rate. (English) Zbl 07923960 J. Nonlinear Sci. 34, No. 6, Paper No. 101, 50 p. (2024). MSC: 35Q92 34C23 34C05 34C45 34D20 35B32 35B36 35K57 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Fang, Xiao; Koike, Yuta Sharp high-dimensional central limit theorems for log-concave distributions. (English. French summary) Zbl 07923691 Ann. Inst. Henri Poincaré, Probab. Stat. 60, No. 3, 2129-2156 (2024). MSC: 60F05 62E17 60J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
da Costa, Conrado; Menshikov, Mikhail; Shcherbakov, Vadim; Wade, Andrew Superdiffusive planar random walks with polynomial space-time drifts. (English) Zbl 07923187 Stochastic Processes Appl. 176, Article ID 104420, 17 p. (2024). MSC: 60G50 60K50 60F05 60F15 60J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Friz, Peter K.; Kifer, Yuri Almost sure diffusion approximation in averaging via rough paths theory. (English) Zbl 07922279 Electron. J. Probab. 29, Paper No. 111, 56 p. (2024). MSC: 60J60 60F17 60F15 60L20 60G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xiong, Yanqin; Zhao, Liqin Limit cycle bifurcations by perturbing a kind of quadratic Hamiltonian system having a homoclinic loop. (English) Zbl 07922053 Discrete Contin. Dyn. Syst., Ser. B 29, No. 11, 4416-4431 (2024). MSC: 34A36 34C37 34C23 34C05 34C07 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Hellmuth, Kathrin; Klingenberg, Christian; Li, Qin Multi-scale PDE inverse problem in bacterial movement. (English) Zbl 07921393 Parés, Carlos (ed.) et al., Hyperbolic problems: theory, numerics, applications, HYP2022. Proceedings of the XVIII international conference, Málaga, Spain, June 20–24, 2022. Volume II. Cham: Springer. SEMA SIMAI Springer Ser. 35, 395-405 (2024). MSC: 35R30 35R09 92C17 × Cite Format Result Cite Review PDF Full Text: DOI
Bouin, Emeric; Dolbeault, Jean; Ziviani, Luca \(\mathrm{L}^2\) hypocoercivity methods for kinetic Fokker-Planck equations with factorised Gibbs states. (English) Zbl 07920786 Menozzi, Stéphane (ed.) et al., Kolmogorov operators and their applications. Singapore: Springer. Springer INdAM Ser. 56, 23-56 (2024). MSC: 82C40 35H10 35K65 35Q84 76P05 35P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Watanabe, Itsuki Continuum limit of nonlocal diffusion on inhomogeneous networks. (English) Zbl 07920479 J. Dyn. Differ. Equations 36, No. 3, 2321-2340 (2024). MSC: 60F15 60F05 35K57 60H15 60K35 60G15 × Cite Format Result Cite Review PDF Full Text: DOI
Takeuchi, Yutaka Quenched invariance principle for a reflecting diffusion in a continuum percolation cluster. (English) Zbl 07918172 J. Math. Soc. Japan 76, No. 3, 921-949 (2024). MSC: 60F17 60J60 60K37 60G55 60J46 82B43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Płociniczak, Łukasz; Teuerle, Marek A. From Lévy walks to fractional material derivative: pointwise representation and a numerical scheme. (English) Zbl 07912597 Commun. Nonlinear Sci. Numer. Simul. 139, Article ID 108316, 19 p. (2024). MSC: 35R11 26A33 60K50 60F17 65M08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wei, Minzhi; Chen, Xingwu; Dai, Yanfei Periodic wave solutions for a generalized reaction-convection-diffusion equation of high-order. (English) Zbl 07901131 Appl. Math. Lett. 158, Article ID 109249, 5 p. (2024). Reviewer: Yu Ichida (Sanda) MSC: 34C05 34C37 35C07 35K40 × Cite Format Result Cite Review PDF Full Text: DOI
Falcó, Carles; Crossley, Rebecca M.; Baker, Ruth E. Travelling waves in a minimal go-or-grow model of cell invasion. (English) Zbl 07901099 Appl. Math. Lett. 158, Article ID 109209, 6 p. (2024). MSC: 35K57 35C07 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Han, Maoan; Liu, Shanshan Hopf bifurcation in a class of piecewise smooth near-Hamiltonian systems. (English) Zbl 07900727 Bull. Sci. Math. 195, Article ID 103471, 30 p. (2024). MSC: 34C23 34C05 37J40 34A36 34E10 × Cite Format Result Cite Review PDF Full Text: DOI
Park, Hyunjoon; Kim, Yong-Jung Biological invasion with a porous medium type diffusion in a heterogeneous space. (English) Zbl 07899615 J. Math. Biol. 89, No. 3, Paper No. 31, 24 p. (2024). MSC: 35B25 35C07 35K57 82C24 × Cite Format Result Cite Review PDF Full Text: DOI
Morin, Léo A semiclassical Birkhoff normal form for constant-rank magnetic fields. (English) Zbl 07898587 Anal. PDE 17, No. 5, 1593-1632 (2024). MSC: 35P15 81Q20 35S05 37J40 70H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ke, Ai; Yang, Junmin On double homoclinic bifurcation of limit cycles in near-Hamiltonian systems on the cylinder. (English) Zbl 07896485 Qual. Theory Dyn. Syst. 23, No. 5, Paper No. 249, 20 p. (2024). MSC: 34C05 34C23 34C37 37J40 34C40 × Cite Format Result Cite Review PDF Full Text: DOI
Fischer, Julian; Marveggio, Alice Quantitative convergence of the vectorial Allen-Cahn equation towards multiphase mean curvature flow. (English) Zbl 1545.35002 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 41, No. 5, 1117-1178 (2024). MSC: 35A15 53E10 35B25 35K57 35K93 74N20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Llibre, Jaume; Salhi, Tayeb Periodic orbits of continuous-discontinuous piecewise differential systems with four pieces separated by the curve \(xy=0\) and formed by linear Hamiltonian systems. (English) Zbl 07896262 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 31, No. 4, 279-286 (2024). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C05 34C07 34A36 34A30 37J40 × Cite Format Result Cite Review PDF Full Text: Link Link
Liao, Saixia; Zhang, Hanjun; Li, Huasheng Strongly quasi-mixing properties for one-dimensional diffusion processes with killing. (English) Zbl 07891932 J. Phys. A, Math. Theor. 57, No. 32, Article ID 325002, 17 p. (2024). MSC: 60J60 60J25 47D07 × Cite Format Result Cite Review PDF Full Text: DOI
Crooks, Elaine; Du, Yini Fast-reaction limit of reaction-diffusion systems with nonlinear diffusion. (English) Zbl 1544.35025 Commun. Contemp. Math. 26, No. 8, Article ID 2350042, 35 p. (2024). MSC: 35B25 35K51 35K59 35K65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bakhshalizadeh, Ali; Asheghi, Rasoul The monotonicity of the ratio of two line integrals in piecewise smooth differential systems. (English) Zbl 07878128 Differ. Equ. Dyn. Syst. 32, No. 3, 785-798 (2024). MSC: 37J40 34C07 34C05 34D10 × Cite Format Result Cite Review PDF Full Text: DOI
Hilhorst, Danielle; Kang, Seung-Min; Kim, Ho-Youn; Kim, Yong-Jung Fick’s law selects the Neumann boundary condition. (English) Zbl 1542.35027 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 245, Article ID 113561, 15 p. (2024). MSC: 35B25 35B30 35K20 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Le Bris, Pierre; Poquet, Christophe A note on uniform in time mean-field limit in graphs. (English) Zbl 1542.60063 ALEA, Lat. Am. J. Probab. Math. Stat. 21, No. 1, 775-790 (2024). MSC: 60K37 60J60 60H10 05C80 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Ankirchner, Stefan; Kazi-Tani, Nabil; Wendt, Julian; Zhou, Chao Large ranking games with diffusion control. (English) Zbl 1544.91037 Math. Oper. Res. 49, No. 2, 675-696 (2024). MSC: 91A15 91A16 91A06 91A05 × Cite Format Result Cite Review PDF Full Text: DOI
Weisbart, David \(p\)-adic Brownian motion is a scaling limit. (English) Zbl 1540.60185 J. Phys. A, Math. Theor. 57, No. 20, Article ID 205203, 20 p. (2024). MSC: 60J65 35S05 46S10 47S10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dong, Zhao; Gu, Fan; Li, Liang The concentration of zero-noise limits of invariant measures for stochastic dynamical systems. (English) Zbl 07869142 Stochastic Processes Appl. 173, Article ID 104363, 21 p. (2024). MSC: 60H10 60B10 60J60 60F10 37A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Shanshan; Han, Maoan Bifurcation theory of limit cycles by higher order Melnikov functions and applications. (English) Zbl 07869051 J. Differ. Equations 403, 29-66 (2024). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34C23 34C07 34C37 34C05 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Aryasova, Olga; Pavlyukevich, Ilya; Pilipenko, Andrey Homogenization of a multivariate diffusion with semipermeable interfaces. (English) Zbl 07865985 J. Theor. Probab. 37, No. 2, 1787-1823 (2024). MSC: 60H10 60F05 60J60 60J55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Auer, Martin; Voit, Michael; Woerner, Jeannette H. C. Wigner- and marchenko-Pastur-type limit theorems for Jacobi processes. (English) Zbl 1541.60013 J. Theor. Probab. 37, No. 2, 1674-1709 (2024). MSC: 60F05 60F15 60J60 60K35 70F10 82C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pavliotis, Grigorios A.; Zanoni, Andrea A method of moments estimator for interacting particle systems and their mean field limit. (English) Zbl 1541.35485 SIAM/ASA J. Uncertain. Quantif. 12, 262-288 (2024). MSC: 35Q70 35Q83 35Q84 60J60 62M20 65C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barczy, Mátyás; González, Miguel; Martín-Chávez, Pedro; del Puerto, Inés Diffusion approximation of critical controlled multi-type branching processes. (English) Zbl 1541.60069 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 3, Paper No. 101, 36 p. (2024). MSC: 60J80 60F17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bogdan, Krzysztof; Komorowski, Tomasz; Marino, Lorenzo Anomalous diffusion limit for a kinetic equation with a thermostatted interface. (English) Zbl 1541.35500 Probab. Theory Relat. Fields 189, No. 1-2, 721-769 (2024). MSC: 35Q79 60J76 60J10 45A05 35B40 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hou, Qianqian Chemical diffusion limit of a chemotaxis-Navier-Stokes system. (English) Zbl 1541.35022 Appl. Anal. 103, No. 1, 198-210 (2024). MSC: 35B25 35K51 35K59 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Dalibard, Anne-Laure; Lopez-Ruiz, Gabriela; Perrin, Charlotte Traveling waves for the porous medium equation in the incompressible limit: asymptotic behavior and nonlinear stability. (English) Zbl 1541.35115 Indiana Univ. Math. J. 73, No. 2, 581-643 (2024). MSC: 35C07 35B40 35B35 35K57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adams, Zachary P. Quasi-ergodicity of transient patterns in stochastic reaction-diffusion equations. (English) Zbl 1541.35575 Electron. J. Probab. 29, Paper No. 75, 29 p. (2024). MSC: 35R60 35C07 35K57 35K90 60F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Georgiadis, Stefanos; Tzavaras, Athanasios E. Alignment via friction for nonisothermal multicomponent fluid systems. (English) Zbl 1543.35158 Acta Appl. Math. 191, Paper No. 3, 28 p. (2024). MSC: 35Q35 35Q79 76R50 76T30 80A17 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yan, Litan; Guo, Rui; Gao, Han Convergence and parameter estimation of the linear weighted-fractional self-repelling diffusion. (English) Zbl 07850689 Commun. Stat., Theory Methods 53, No. 7, 2390-2421 (2024). MSC: 60G22 60H07 60F05 62M09 × Cite Format Result Cite Review PDF Full Text: DOI
El Kettani, Perla; Hilhorst, Danielle; Park, Hyunjoon Singular limit of a stochastic Allen-Cahn equation with nonlinear diffusion. (English) Zbl 1540.35023 J. Differ. Equations 400, 146-188 (2024). MSC: 35B25 35B40 35K59 35R60 60H15 × Cite Format Result Cite Review PDF Full Text: DOI
Blochas, Paul; Rodrigues, Luis Miguel Uniform asymptotic stability for convection-reaction-diffusion equations in the inviscid limit towards Riemann shocks. (English) Zbl 1540.35050 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 41, No. 3, 615-661 (2024). MSC: 35B35 35L67 35B25 35B40 35K15 35K58 37L15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Papageorgiou, Effie Asymptotics for the infinite Brownian loop on noncompact symmetric spaces. (English) Zbl 07848746 J. Elliptic Parabol. Equ. 10, No. 1, 39-58 (2024). Reviewer: Sanjiv Gupta (Masqaṭ) MSC: 22E30 35B40 35K05 58J35 43A85 60F05 58J65 43A90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Tingting; Lu, Jianfang; Wang, Pengde Stability analysis of inverse Lax-Wendroff procedure for a high order compact finite difference schemes. (English) Zbl 07846915 Commun. Appl. Math. Comput. 6, No. 1, 142-189 (2024). MSC: 65M06 65N06 65L06 65F05 65T50 65B05 41A58 65N25 76R50 × Cite Format Result Cite Review PDF Full Text: DOI
Blanc, Xavier; Hoch, Philippe; Lasuen, Clément An asymptotic preserving scheme for the \(M_1\) model on polygonal and conical meshes. (English) Zbl 1539.65093 Calcolo 61, No. 2, Paper No. 24, 44 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M08 35L50 35L60 35L65 65M12 76M12 65L04 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Bo; Pang, Guodong Heavy-traffic limits for parallel single-server queues with randomly split Hawkes arrival processes. (English) Zbl 07845401 J. Appl. Probab. 61, No. 2, 490-514 (2024). MSC: 60K25 60G55 60J60 60J65 60J70 60F17 90B22 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Zheng Exponential convergence in the trace norm and time-inhomogeneous Markovian evolutions on \(\mathcal{B}(\mathcal{H})\). (English) Zbl 07841660 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 27, No. 1, Article ID 2350016, 16 p. (2024). MSC: 46L53 46L55 47D07 82B10 × Cite Format Result Cite Review PDF Full Text: DOI
Lei, Nuo; Cheng, Juan; Shu, Chi-Wang High order conservative Lagrangian schemes for two-dimensional radiation hydrodynamics equations in the equilibrium-diffusion limit. (English) Zbl 07833835 J. Comput. Phys. 503, Article ID 112840, 40 p. (2024). MSC: 65Mxx 76Mxx 65Fxx × Cite Format Result Cite Review PDF Full Text: DOI
Nadtochiy, Sergey; Shkolnikov, Mykhaylo; Zhang, Xiling Scaling limits of external multi-particle DLA on the plane and the supercooled Stefan problem. (English. French summary) Zbl 1536.82019 Ann. Inst. Henri Poincaré, Probab. Stat. 60, No. 1, 658-691 (2024). MSC: 82C24 35R35 80A22 55M25 60J65 35D30 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sandrić, Nikola Periodic homogenization of a class of weakly coupled systems of linear PDEs. (English) Zbl 07830975 Comput. Appl. Math. 43, No. 1, Paper No. 57, 26 p. (2024). MSC: 35B27 35J57 35K45 60F17 60J25 60J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mel’nyk, Taras; Rohde, Christian Puiseux asymptotic expansions for convection-dominated transport problems in thin graph-like networks: strong boundary interactions. (English) Zbl 1536.35288 Asymptotic Anal. 137, No. 1-2, 27-52 (2024). MSC: 35Q49 35B40 35C20 35R02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barret, Florent; Torri, Niccolò Hydrodynamic limit of the Schelling model with spontaneous Glauber and Kawasaki dynamics. (English) Zbl 1534.60135 Electron. J. Probab. 29, Paper No. 19, 44 p. (2024). MSC: 60K35 82C22 82D99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Si, Zheng; Zhao, Liqin The number of limit cycles of a kind of piecewise quadratic systems with switching curve \(y = x^m\). (English) Zbl 1541.34055 J. Math. Anal. Appl. 536, No. 2, Article ID 128178, 27 p. (2024). Reviewer: Maite Grau (Lleida) MSC: 34C07 34A36 34E10 34C23 34C05 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Ye, Xiao; Zheng, Xiangcheng; Liu, Jun; Liu, Yue Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation. (English) Zbl 1541.65130 Adv. Comput. Math. 50, No. 2, Paper No. 21, 30 p. (2024). MSC: 65M70 65H10 65N35 65D07 65B05 65M12 65M15 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Besançon, Eustache; Coutin, Laure; Decreusefond, Laurent; Moyal, Pascal Diffusive limits of Lipschitz functionals of Poisson measures. (English) Zbl 1536.60036 Ann. Appl. Probab. 34, No. 1A, 555-584 (2024). MSC: 60F17 60J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Jia, Ranran; Zhao, Liqin On the number of limit cycles bifurcating from the linear center with a cubic switching curve. (English) Zbl 1545.34060 Qual. Theory Dyn. Syst. 23, No. 3, Paper No. 134, 29 p. (2024). Reviewer: Zhouchao Wei (Wuhan) MSC: 34C23 34A36 34C05 34C08 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Junmin; Han, Maoan Some properties of Melnikov functions near a cuspidal loop. (English) Zbl 07827579 Sci. China, Math. 67, No. 4, 767-786 (2024). Reviewer: Gheorghe Tigan (Timișoara) MSC: 34C05 34C07 34C23 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Yamato, Kosuke Renewal dynamical approach for non-minimal quasi-stationary distributions of one-dimensional diffusions. (English) Zbl 1541.60066 J. Theor. Probab. 37, No. 1, 533-548 (2024). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60J70 60F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pengel, Ardjen; Bierkens, Joris Strong invariance principles for ergodic Markov processes. (English) Zbl 1534.60042 Electron. J. Stat. 18, No. 1, 191-246 (2024). MSC: 60F17 60J25 60F15 60J10 60J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Barreto-Souza, Wagner; Chan, Ngai Hang Nearly unstable integer-valued ARCH process and unit root testing. (English) Zbl 07819235 Scand. J. Stat. 51, No. 1, 402-424 (2024). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wei, Lijun; Zhang, Xiang; Zhu, Jinbo Limit cycles near a centre and a heteroclinic loop in a near-Hamiltonian differential system. (English) Zbl 07818465 J. Dyn. Differ. Equations 36, No. 1, 405-420 (2024). Reviewer: Jihua Yang (Guyuan) MSC: 34C07 34C05 34C23 37J40 34C37 34B30 × Cite Format Result Cite Review PDF Full Text: DOI
Watanabe, Itsuki; Toyoizumi, Hiroshi Comparison between the deterministic and stochastic models of nonlocal diffusion. (English) Zbl 1535.60055 J. Dyn. Differ. Equations 36, No. 1, 231-250 (2024). Reviewer: Weiping Li (Guanghan) MSC: 60F17 60H15 60G15 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yun; Wu, Fuke; Xie, Longjie Poisson equation on Wasserstein space and diffusion approximations for multiscale McKean-Vlasov equation. (English) Zbl 1534.60106 SIAM J. Math. Anal. 56, No. 2, 1495-1524 (2024). MSC: 60J60 60F05 35J60 70K70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
David, Noemi; Dębiec, Tomasz; Mandal, Mainak; Schmidtchen, Markus A degenerate cross-diffusion system as the inviscid limit of a nonlocal tissue growth model. (English) Zbl 1535.35112 SIAM J. Math. Anal. 56, No. 2, 2090-2114 (2024). MSC: 35K57 35B35 35K40 35K59 35K65 47N60 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Doumic, Marie; Hecht, Sophie; Perthame, Benoît; Peurichard, Diane Multispecies cross-diffusions: from a nonlocal mean-field to a porous medium system without self-diffusion. (English) Zbl 1534.35405 J. Differ. Equations 389, 228-256 (2024). MSC: 35Q92 92D25 35K55 35R09 35B25 35D30 76S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yue; Chen, Li; Zhang, Zhipeng Convergence towards the population cross-diffusion system from stochastic many-particle system. (English) Zbl 07812206 Commun. Math. Res. 40, No. 1, 43-63 (2024). MSC: 35K45 35Q92 60J70 82C22 35K58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fehrman, Benjamin Stochastic homogenization with space-time ergodic divergence-free drift. (English) Zbl 1534.35015 Ann. Probab. 52, No. 1, 350-380 (2024). MSC: 35B27 35B53 35B65 35K15 60F17 60H25 76M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Onyido, Maria A.; Salako, Rachidi B.; Uba, Markjoe O.; Udeani, Cyril I. Asymptotic limits of the principal spectrum point of a nonlocal dispersal cooperative system and application to a two-stage structured population model. (English) Zbl 1534.92058 J. Differ. Equations 388, 357-402 (2024). MSC: 92D25 35P15 35K57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blaustein, Alain; Bouin, Emeric Concentration profiles in FitzHugh-Nagumo neural networks: a Hopf-Cole approach. (English) Zbl 1533.35344 Discrete Contin. Dyn. Syst., Ser. B 29, No. 4, 2018-2042 (2024). MSC: 35Q92 92C20 35B40 35C20 35K57 35G20 53C35 35B44 35F21 60J65 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ye, Luhong; Zhao, Hongyong; Wu, Daiyong Dynamical analysis of a spatial memory prey-predator system with gestation delay and strong Allee effect. (English) Zbl 1534.35021 Z. Angew. Math. Phys. 75, No. 1, Paper No. 29, 25 p. (2024). MSC: 35B32 35K51 35K57 35P05 37G15 58J32 65M12 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Fischer, Michael; Kanzler, Laura; Schmeiser, Christian One-dimensional short-range nearest-neighbor interaction and its nonlinear diffusion limit. (English) Zbl 07802044 SIAM J. Appl. Math. 84, No. 1, 1-18 (2024). MSC: 82C22 35R37 35K55 92C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dagdug, Leonardo; Peña, Jason; Pompa-García, Ivan Diffusion under confinement. A journey through counterintuition. (English) Zbl 07799384 Cham: Springer (ISBN 978-3-031-46474-4/hbk; 978-3-031-46477-5/pbk; 978-3-031-46475-1/ebook). xix, 759 p. (2024). MSC: 82-01 82D30 82C31 82B41 82C41 82D37 82D80 60J65 60J70 60G50 60F05 92D25 44A10 42A38 35K57 35B32 35B36 65M06 65N06 35Q82 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Meilan; Han, Maoan Limit cycle bifurcations near a double 2-polycycle on the cylinder. (English) Zbl 1533.34034 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107737, 29 p. (2024). MSC: 34C23 34C05 34C37 34C40 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Xiong, Yanqin; Hu, Guangping Heteroclinic loop bifurcations by perturbing a class of \(\mathrm{Z}_2\)-equivariant quadratic switching Hamiltonian systems with nilpotent singular points. (English) Zbl 1534.34026 J. Math. Anal. Appl. 532, No. 2, Article ID 127977, 23 p. (2024). Reviewer: Zhengdong Du (Chengdu) MSC: 34A36 34C37 34C14 34C23 34E10 37J40 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Heldman, M.; Isaacson, S. A.; Ma, J.; Spiliopoulos, K. Fluctuation analysis for particle-based stochastic reaction-diffusion models. (English) Zbl 1527.60076 Stochastic Processes Appl. 167, Article ID 104234, 61 p. (2024). MSC: 60K35 60F05 60J60 82C31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Ya; Wu, Fuke; Yin, George Limit theorems of additive functionals for regime-switching diffusions with infinite delay. (English) Zbl 1531.60024 Stochastic Processes Appl. 167, Article ID 104215, 28 p. (2024). Reviewer: Anatoliy Swishchuk (Calgary) MSC: 60F05 60B12 60H20 × Cite Format Result Cite Review PDF Full Text: DOI
Cen, Jinxia; Huang, Xiezhen; Liu, Aimin; Yao, Jen-Chih Identification of discontinuous parameters in contaminant convection-reaction-diffusion model of recovered fracturing fluid. (English) Zbl 1530.35358 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107634, 12 p. (2024). MSC: 35R30 35K57 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Andrew; Zhou, Wenshu Unique solvability and zero diffusion limits of global large solution for a nonlinear hyperbolic system with damping and diffusion. (English) Zbl 1527.35030 Discrete Contin. Dyn. Syst., Ser. B 29, No. 1, 1-21 (2024). MSC: 35B25 35B40 35K51 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Mel’nyk, Taras; Rohde, Christian Asymptotic approximations for semilinear parabolic convection-dominated transport problems in thin graph-like networks. (English) Zbl 1522.35033 J. Math. Anal. Appl. 529, No. 1, Article ID 127587, 35 p. (2024). MSC: 35B25 35K20 35R02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kammerer, Emmanuel Scaling limit of first passage percolation geodesics on planar maps. arXiv:2412.02666 Preprint, arXiv:2412.02666 [math.PR] (2024). MSC: 60D05 60F17 60H10 60J60 60J90 60J76 × Cite Format Result Cite Full Text: arXiv
da Costa, Conrado; Thacker, Debleena; Wade, Andrew Long-range one-dimensional internal diffusion-limited aggregation. arXiv:2411.10113 Preprint, arXiv:2411.10113 [math.PR] (2024). MSC: 60K35 60F15 60G50 60K05 82C24 × Cite Format Result Cite Full Text: arXiv OA License
Anagnostakis, Alexis; Mazzonetto, Sara On the number of crossings and bouncings of a diffusion at a sticky threshold. arXiv:2411.08846 Preprint, arXiv:2411.08846 [math.PR] (2024). MSC: 60J55 60F05 60G17 60J60 × Cite Format Result Cite Full Text: arXiv