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Communications on Pure and Applied Analysis (ISSN 1534-0392) is published monthly. CPAA is devoted to mathematical contributions to the sciences; both theoretical and applied papers, of original or expository type, are included. It features recent development in analysis and its applications, with a central theme on theoretical and numeric differential equations and applications. It is edited by some leading researchers to guarantee the journal's highest standard and closest link to the scientific communities.


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Preface to the special issue on analysis of geophysical phenomena
Adrian Constantin
2022, 21(7) : i-iv doi: 10.3934/cpaa.2022094 +[Abstract](26) +[HTML](15) +[PDF](157.78KB)
On the nonlinear three-dimensional models in equatorial ocean flows
Biswajit Basu
2022, 21(7) : 2271-2290 doi: 10.3934/cpaa.2022085 +[Abstract](78) +[HTML](17) +[PDF](2891.55KB)
Hamiltonian description of internal ocean waves with Coriolis force
Joseph D. Cullen and Rossen I. Ivanov
2022, 21(7) : 2291-2307 doi: 10.3934/cpaa.2022029 +[Abstract](343) +[HTML](165) +[PDF](384.01KB)
Weakly nonlinear waves in stratified shear flows
Anna Geyer and Ronald Quirchmayr
2022, 21(7) : 2309-2325 doi: 10.3934/cpaa.2022061 +[Abstract](189) +[HTML](85) +[PDF](446.19KB)
On the spherical geopotential approximation for Saturn
Susanna V. Haziot
2022, 21(7) : 2327-2336 doi: 10.3934/cpaa.2022035 +[Abstract](258) +[HTML](115) +[PDF](486.45KB)
Energy considerations for nonlinear equatorial water waves
David Henry
2022, 21(7) : 2337-2356 doi: 10.3934/cpaa.2022057 +[Abstract](175) +[HTML](69) +[PDF](415.06KB)
The ocean and the atmosphere: An applied mathematician's view
R. S. Johnson
2022, 21(7) : 2357-2381 doi: 10.3934/cpaa.2022040 +[Abstract](288) +[HTML](88) +[PDF](1620.5KB)
Liouville links and chains on the plane and associated stationary point vortex equilibria
Vikas S. Krishnamurthy
2022, 21(7) : 2383-2397 doi: 10.3934/cpaa.2022076 +[Abstract](87) +[HTML](33) +[PDF](2444.81KB)
Particle paths in equatorial flows
Tony Lyons
2022, 21(7) : 2399-2414 doi: 10.3934/cpaa.2022041 +[Abstract](207) +[HTML](87) +[PDF](431.62KB)
On three-dimensional free surface water flows with constant vorticity
Calin I. Martin
2022, 21(7) : 2415-2431 doi: 10.3934/cpaa.2022053 +[Abstract](215) +[HTML](82) +[PDF](474.63KB)
Stability analysis of the boundary value problem modelling a two-layer ocean
Kateryna Marynets
2022, 21(7) : 2433-2445 doi: 10.3934/cpaa.2022083 +[Abstract](98) +[HTML](29) +[PDF](625.26KB)
Exact solution and instability for geophysical edge waves
Fahe Miao, Michal Fečkan and Jinrong Wang
2022, 21(7) : 2447-2461 doi: 10.3934/cpaa.2022067 +[Abstract](138) +[HTML](53) +[PDF](1903.2KB)
The surface current of Ekman flows with time-dependent eddy viscosity
Luigi Roberti
2022, 21(7) : 2463-2477 doi: 10.3934/cpaa.2022064 +[Abstract](157) +[HTML](48) +[PDF](454.76KB)
Geophysics and Stuart vortices on a sphere meet differential geometry
Łukasz Rudnicki
2022, 21(7) : 2479-2493 doi: 10.3934/cpaa.2022075 +[Abstract](77) +[HTML](29) +[PDF](418.19KB)
Uniqueness and sign properties of minimizers in a quasilinear indefinite problem
Uriel Kaufmann, Humberto Ramos Quoirin and Kenichiro Umezu
2021doi: 10.3934/10.3934/cpaa.2021078 +[Abstract](860) +[HTML](456) +[PDF](319.8KB)
Analysis of COVID-19 epidemic transmission trend based on a time-delayed dynamic model
Tailei Zhang and Zhimin Li
2021doi: 10.3934/cpaa.2021088 +[Abstract](1030) +[HTML](572) +[PDF](468.47KB)
Data-driven optimal control of a seir model for COVID-19
Hailiang Liu and Xuping Tian
2021doi: 10.3934/cpaa.2021093 +[Abstract](1161) +[HTML](464) +[PDF](1372.32KB)
A linear, decoupled and positivity-preserving numerical scheme for an epidemic model with advection and diffusion
Jisheng Kou, Huangxin Chen, Xiuhua Wang and Shuyu Sun
2021doi: 10.3934/cpaa.2021094 +[Abstract](844) +[HTML](564) +[PDF](1366.37KB)
Semi-discrete and fully discrete HDG methods for Burgers' equation
Zimo Zhu, Gang Chen and Xiaoping Xie
2021doi: 10.3934/cpaa.2021132 +[Abstract](742) +[HTML](406) +[PDF](488.08KB)
Dynamical analysis in disease transmission and final epidemic size
Daifeng Duan, Cuiping Wang and Yuan Yuan
2021doi: 10.3934/cpaa.2021150 +[Abstract](663) +[HTML](302) +[PDF](961.2KB)
Spatial dynamic analysis for COVID-19 epidemic model with diffusion and Beddington-DeAngelis type incidence
Tao Zheng, Yantao Luo, Xinran Zhou, Long Zhang and Zhidong Teng
2021doi: 10.3934/cpaa.2021154 +[Abstract](839) +[HTML](335) +[PDF](1057.49KB)
Transmission dynamics and high infectiousness of Coronavirus Disease 2019
Shunxiang Huang, Lin Wu, Jing Li, Ming-Zhen Xin, Yingying Wang, Xingjie Hao, Zhongyi Wang, Qihong Deng and Bin-Guo Wang
2021doi: 10.3934/cpaa.2021155 +[Abstract](658) +[HTML](289) +[PDF](1835.77KB)
Basic reproduction number estimation and forecasting of COVID-19: A case study of India, Brazil and Peru
Nitu Kumari, Sumit Kumar, Sandeep Sharma, Fateh Singh and Rana Parshad
2021doi: 10.3934/cpaa.2021170 +[Abstract](679) +[HTML](431) +[PDF](2334.82KB)
Multiple localized nodal solutions of high topological type for Kirchhoff-type equation with double potentials
Zhi-Guo Wu, Wen Guan and Da-Bin Wang
2022doi: 10.3934/cpaa.2022058 +[Abstract](165) +[HTML](72) +[PDF](556.05KB)
Wong-Zakai approximations and pathwise dynamics of stochastic fractional lattice systems
Yiju Chen, Xiaohu Wang and Kenan Wu
2022doi: 10.3934/cpaa.2022059 +[Abstract](153) +[HTML](65) +[PDF](546.88KB)
Singular quasilinear critical Schrödinger equations in $ \mathbb {R}^N $
Laura Baldelli and Roberta Filippucci
2022doi: 10.3934/cpaa.2022060 +[Abstract](147) +[HTML](63) +[PDF](674.44KB)
Parabolic Systems with measurable coefficients in weighted Sobolev spaces
Doyoon Kim, Kyeong-Hun Kim and Kijung Lee
2022doi: 10.3934/cpaa.2022062 +[Abstract](128) +[HTML](51) +[PDF](517.87KB)
Well-posedness for a coupled system of Kawahara/KdV type equations with polynomials nonlinearities
Cezar Kondo and Ronaldo Pes
2022doi: 10.3934/cpaa.2022063 +[Abstract](112) +[HTML](56) +[PDF](428.98KB)
Wellposedness of a DNA replication model based on a nucleation-growth process
J. Nieto and M. O. Vásquez
2022doi: 10.3934/cpaa.2022065 +[Abstract](104) +[HTML](38) +[PDF](403.66KB)
The Łojasiewicz inequality for free energy functionals on a graph
Kongzhi Li and Xiaoping Xue
2022doi: 10.3934/cpaa.2022066 +[Abstract](121) +[HTML](60) +[PDF](426.95KB)
On the solvability of a semilinear higher-order elliptic problem for the vector field method in image registration
Xiaojun Zheng, Zhongdan Huan and Jun Liu
2022doi: 10.3934/cpaa.2022068 +[Abstract](119) +[HTML](49) +[PDF](461.14KB)
The effect of the weight function on the number of nodal solutions of the Kirchhoff-type equations in high dimensions
He Zhang and Haibo Chen
2022doi: 10.3934/cpaa.2022069 +[Abstract](102) +[HTML](38) +[PDF](450.23KB)
Stability, existence and non-existence of $ T $-periodic solutions of nonlinear delayed differential equations with $ \varphi $-Laplacian
Pablo Amster, Mariel Paula Kuna and Dionicio Santos
2022doi: 10.3934/cpaa.2022070 +[Abstract](85) +[HTML](35) +[PDF](369.09KB)
On spectral and fractional powers of damped wave equations
Maykel Belluzi, Flank D. M. Bezerra and Marcelo J. D. Nascimento
2022doi: 10.3934/cpaa.2022071 +[Abstract](114) +[HTML](35) +[PDF](548.94KB)
Global Carleman estimate and its applications for a sixth-order equation related to thin solid films
Yanpeng Jin and Ying Fu
2022doi: 10.3934/cpaa.2022072 +[Abstract](123) +[HTML](34) +[PDF](415.39KB)
Sharp subcritical Sobolev inequalities and uniqueness of nonnegative solutions to high-order Lane-Emden equations on $ \mathbb{S}^n $
Lu Chen, Guozhen Lu and Yansheng Shen
2022doi: 10.3934/cpaa.2022073 +[Abstract](135) +[HTML](39) +[PDF](432.77KB)
Minimisers of Helfrich functional for surfaces of revolution
Huaiyu Jian and Hongbo Zeng
2022doi: 10.3934/cpaa.2022074 +[Abstract](83) +[HTML](31) +[PDF](333.92KB)
Emergent dynamics of the fractional Cucker-Smale model under general network topologies
Jinwook Jung and Peter Kuchling
2022doi: 10.3934/cpaa.2022077 +[Abstract](85) +[HTML](29) +[PDF](1212.88KB)
Nonexistence of Positive Solutions for high-order Hardy-H$ \acute{e} $non Systems on $ \mathbb{R}^{n} $
Rong Zhang
2022doi: 10.3934/cpaa.2022078 +[Abstract](88) +[HTML](35) +[PDF](408.53KB)
Fourier transform of surface–carried measures of two-dimensional generic surfaces and applications
Jean-Claude Cuenin and Robert Schippa
2022doi: 10.3934/cpaa.2022079 +[Abstract](74) +[HTML](31) +[PDF](456.35KB)
Asymptotic behavior of eigenvalues of the Maxwell system in the presence of small changes in the interface of an inclusion
Abdessatar Khelifi and Siwar Saidani
2022doi: 10.3934/cpaa.2022080 +[Abstract](141) +[HTML](123) +[PDF](486.56KB)
Asymptotic expansion of 2-dimensional gradient graph with vanishing mean curvature at infinity
Zixiao Liu and Jiguang Bao
2022doi: 10.3934/cpaa.2022081 +[Abstract](65) +[HTML](23) +[PDF](464.0KB)
Ground state solutions for asymptotically periodic nonlinearities for Kirchhoff problems
Edcarlos D. Silva and Jefferson S. Silva
2022doi: 10.3934/cpaa.2022082 +[Abstract](89) +[HTML](25) +[PDF](538.48KB)
Existence and uniqueness of radial solutions for Hardy-Hénon equations involving k-Hessian operators
Kods Hassine
2022doi: 10.3934/cpaa.2022084 +[Abstract](56) +[HTML](21) +[PDF](373.02KB)
Plateau-rayleigh instability of singular minimal surfaces
Rafael López
2022doi: 10.3934/cpaa.2022086 +[Abstract](53) +[HTML](31) +[PDF](590.07KB)
Non-convex sweeping processes in the space of regulated functions
Pavel Krejčí, Giselle Antunes Monteiro and Vincenzo Recupero
2022doi: 10.3934/cpaa.2022087 +[Abstract](51) +[HTML](19) +[PDF](537.68KB)
Strongly singular convective elliptic equations in $ \mathbb{R}^N $ driven by a non-homogeneous operator
Laura Gambera and Umberto Guarnotta
2022doi: 10.3934/cpaa.2022088 +[Abstract](49) +[HTML](15) +[PDF](499.33KB)
Hopf's lemmas for parabolic fractional p-Laplacians
Pengyan Wang and Wenxiong Chen
2022doi: 10.3934/cpaa.2022089 +[Abstract](63) +[HTML](18) +[PDF](367.82KB)
Limit cycle bifurcations by perturbing piecewise Hamiltonian systems with a nonregular switching line via multiple parameters
Yuan Chang and Yuzhen Bai
2022doi: 10.3934/cpaa.2022090 +[Abstract](49) +[HTML](12) +[PDF](476.89KB)
Freidlin-Wentzell's large deviation principle for stochastic integral evolution equations
Xiaomin Huang, Yanpei Jiang and Wei Liu
2022doi: 10.3934/cpaa.2022091 +[Abstract](47) +[HTML](15) +[PDF](476.65KB)
A general multipurpose interpolation procedure: the magic points
Yvon Maday, Ngoc Cuong Nguyen, Anthony T. Patera and S. H. Pau
2009, 8(1) : 383-404 doi: 10.3934/cpaa.2009.8.383 +[Abstract](6682) +[PDF](826.7KB) Cited By(107)
On the stationary solutions of generalized reaction diffusion equations with $p\& q$-Laplacian
L. Cherfils and Y. Il'yasov
2005, 4(1) : 9-22 doi: 10.3934/cpaa.2005.4.9 +[Abstract](4247) +[PDF](225.5KB) Cited By(106)
Almost periodicity analysis for a delayed Nicholson's blowflies model with nonlinear density-dependent mortality term
Chuangxia Huang, Hua Zhang and Lihong Huang
2019, 18(6) : 3337-3349 doi: 10.3934/cpaa.2019150 +[Abstract](4490) +[HTML](244) +[PDF](373.99KB) Cited By(102)
A Brezis-Nirenberg result for non-local critical equations in low dimension
Raffaella Servadei and Enrico Valdinoci
2013, 12(6) : 2445-2464 doi: 10.3934/cpaa.2013.12.2445 +[Abstract](6011) +[PDF](509.5KB) Cited By(93)
Convergence of generalized proximal point algorithms
Giuseppe Marino and Hong-Kun Xu
2004, 3(4) : 791-808 doi: 10.3934/cpaa.2004.3.791 +[Abstract](5685) +[PDF](181.7KB) Cited By(90)
Periodic solutions of nonlinear periodic differential systems with a small parameter
Adriana Buică, Jean–Pierre Françoise and Jaume Llibre
2007, 6(1) : 103-111 doi: 10.3934/cpaa.2007.6.103 +[Abstract](3402) +[PDF](130.3KB) Cited By(79)
The two-dimensional Riemann problem for isentropic Chaplygin gas dynamic system$^*$
Lihui Guo, Wancheng Sheng and Tong Zhang
2010, 9(2) : 431-458 doi: 10.3934/cpaa.2010.9.431 +[Abstract](5621) +[PDF](1276.3KB) Cited By(72)
Uniqueness of positive solutions to some coupled nonlinear Schrödinger equations
Juncheng Wei and Wei Yao
2012, 11(3) : 1003-1011 doi: 10.3934/cpaa.2012.11.1003 +[Abstract](4173) +[PDF](366.4KB) Cited By(69)
A Liouville type Theorem for an integral system
Dezhong Chen and Li Ma
2006, 5(4) : 855-859 doi: 10.3934/cpaa.2006.5.855 +[Abstract](4693) +[PDF](102.3KB) Cited By(69)
On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions
Gianni Gilardi, A. Miranville and Giulio Schimperna
2009, 8(3) : 881-912 doi: 10.3934/cpaa.2009.8.881 +[Abstract](4813) +[PDF](395.6KB) Cited By(69)
Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis
Norikazu Saito
2012, 11(1) : 339-364 doi: 10.3934/cpaa.2012.11.339 +[Abstract](5596) +[PDF](486.1KB) PDF Downloads(1197)
Bifurcation and stability of a two-species diffusive Lotka-Volterra model
Li Ma and Shangjiang Guo
2020, 19(3) : 1205-1232 doi: 10.3934/cpaa.2020056 +[Abstract](3025) +[HTML](91) +[PDF](419.64KB) PDF Downloads(1023)
Mean value properties and unique continuation
José G. Llorente
2015, 14(1) : 185-199 doi: 10.3934/cpaa.2015.14.185 +[Abstract](3399) +[PDF](427.4KB) PDF Downloads(983)
The Landau-de Gennes theory of nematic liquid crystals: Uniaxiality versus Biaxiality
Apala Majumdar
2012, 11(3) : 1303-1337 doi: 10.3934/cpaa.2012.11.1303 +[Abstract](3891) +[PDF](596.9KB) PDF Downloads(968)
Global existence and blow-up of solutions to a semilinear heat equation with singular potential and logarithmic nonlinearity
Xiumei Deng and Jun Zhou
2020, 19(2) : 923-939 doi: 10.3934/cpaa.2020042 +[Abstract](3335) +[HTML](113) +[PDF](356.11KB) PDF Downloads(691)
W1, p-estimates for elliptic equations with lower order terms
Byungsoo Kang and Hyunseok Kim
2017, 16(3) : 799-822 doi: 10.3934/cpaa.2017038 +[Abstract](3355) +[HTML](134) +[PDF](491.2KB) PDF Downloads(658)
On the Dirichlet boundary value problem for the normalized $p$-laplacian evolution
Agnid Banerjee and Nicola Garofalo
2015, 14(1) : 1-21 doi: 10.3934/cpaa.2015.14.1 +[Abstract](3451) +[PDF](486.2KB) PDF Downloads(616)
On a delayed epidemic model with non-instantaneous impulses
Liang Bai, Juan J. Nieto and José M. Uzal
2020, 19(4) : 1915-1930 doi: 10.3934/cpaa.2020084 +[Abstract](2409) +[HTML](171) +[PDF](356.02KB) PDF Downloads(602)
Nonlinear wave equation with both strongly and weakly damped terms: Supercritical initial energy finite time blow up
Yanbing Yang and Runzhang Xu
2019, 18(3) : 1351-1358 doi: 10.3934/cpaa.2019065 +[Abstract](5215) +[HTML](375) +[PDF](342.33KB) PDF Downloads(575)
Approximation by multivariate max-product Kantorovich-type operators and learning rates of least-squares regularized regression
Lucian Coroianu, Danilo Costarelli, Sorin G. Gal and Gianluca Vinti
2020, 19(8) : 4213-4225 doi: 10.3934/cpaa.2020189 +[Abstract](1789) +[HTML](90) +[PDF](414.25KB) PDF Downloads(568)

2020 Impact Factor: 1.916
5 Year Impact Factor: 1.510
2020 CiteScore: 1.9

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