Edit Profile (opens in new tab) Zhevandrov, Peter N. Co-Author Distance Author ID: zhevandrov.peter-n Published as: Zhevandrov, P. N.; Zhevandrov, P.; Zhevandrov, Peter N.; Zhevandrov, Peter; Zhevandrov, Petr; Zhevandrov B., Petr more...less Homepage: http://www.fismat.umich.mx/dcif/comunidad/nucleo-academico-basico/petr-zhevandro... Documents Indexed: 51 Publications since 1985, including 2 Additional arXiv Preprints Co-Authors: 27 Co-Authors with 41 Joint Publications 756 Co-Co-Authors all top 5 Co-Authors 8 single-authored 18 Merzon, Anatolĭ E. 10 Rodríguez, M. I. Romero 7 de la Paz Méndez, José Eligio 7 Dobrokhotov, Sergei Yurievich 5 Ortíz Ortíz, Ruben Dario 4 Marín Ramirez, Ana Magnolia 3 Kuz’mina, V. M. 2 Komech, Alexander Ilich 2 Rodriguez Ceballos, Joel Arturo 1 Alcántar, E. 1 Amore, Paolo 1 Aya B., Hugo 1 Aya, Hugo 1 Boyd, John Philip 1 Cano M., Ricardo 1 Cano, Ricardo 1 Choque Rivero, Abdon Eddy 1 Fernández, Francisco Marcelo 1 Garibay, Fernando 1 Isakov, R. V. 1 Jacobo, Martin 1 Karlovich, Yuri I. 1 Korobkin, Alexander A. 1 Maslov, Viktor Pavlovich 1 Shafarevich, Andreĭ Igorevich 1 Sturova, Izolda V. 1 Villalba-Vega, T. J. all top 5 Serials 9 Russian Journal of Mathematical Physics 4 Mathematical Notes 2 Journal of Fluid Mechanics 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 U.S.S.R. Computational Mathematics and Mathematical Physics 1 Journal of Applied Mathematics and Mechanics 1 Journal of Engineering Mathematics 1 Theoretical and Mathematical Physics 1 Wave Motion 1 Functional Analysis and its Applications 1 Journal of Computational and Applied Mathematics 1 Mathematics of the USSR. Izvestiya 1 Lecturas Matemáticas 1 SIAM Journal on Applied Mathematics 1 Far East Journal of Applied Mathematics 1 The ANZIAM Journal 1 Journal of Applied Mathematics 1 Matemáticas: Enseñanza Universitaria (Nueva Serie) 1 Communications in Mathematical Analysis 1 Ingeniería e Investigación all top 5 Fields 30 Partial differential equations (35-XX) 29 Fluid mechanics (76-XX) 8 Quantum theory (81-XX) 5 Geophysics (86-XX) 4 Ordinary differential equations (34-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 169 times in 116 Documents Cited by ▼ Year ▼ Asymptotic fast-decreasing solutions of linear, strictly hyperbolic systems with variable coefficients. Zbl 0735.35089 Dobrokhotov, S. Yu.; Zhevandrov, P. N.; Maslov, V. P.; Shafarevich, A. I. 25 1991 Asymptotic expansions and the Maslov canonical opeator in the linear theory of water waves. I: Main constructions and equations for surface gravity waves. Zbl 1065.76026 Dobrokhotov, S. Yu.; Zhevandrov, P. N. 20 2003 Geometric asymptotics for a degenerate hyperbolic equation. Zbl 1104.35309 Vukašinac, T.; Zhevandrov, P. 15 2002 On the Neumann problem for the Helmholtz equation in a plane angle. Zbl 0969.35042 Zhevandrov, Peter; Merzon, Anatoli 14 2000 Nonstandard characteristics and Maslov’s operational method in linear problems concerning unsteady water waves. Zbl 0625.35080 Dobrokhotov, S. Yu.; Zhevandrov, P. N. 12 1985 A method of complex characteristics for elliptic problems in angles, and its applications. Zbl 1290.35033 Komech, Alexander Ilich; Merzon, Anatolii E.; Zhevandrov, Peter N. 9 2002 Asymptotics of eigenfunctions in shallow potential wells and related problems. Zbl 1140.81396 Zhevandrov, P.; Merzon, A. 8 2003 High-frequency asymptotics of edge waves on a beach of nonconstant slope. Zbl 0974.76018 Merzon, A. E.; Zhevandrov, P. N. 7 1999 Asymptotics of the solution of the Cauchy-Poisson problem in a layer of nonconstant thickness. Zbl 0810.35084 Dobrokhotov, S. Yu.; Zhevandrov, P. N.; Kuz’mina, V. M. 7 1993 On the completeness of Ursell’s trapping modes. Zbl 0914.76013 Komech, Alexander I.; Merzon, Anatolij E.; Zhevandrov, Peter N. 6 1996 Edge waves on a gently sloping beach: Uniform asymptotics. Zbl 0738.76005 Zhevandrov, Peter 6 1991 Scattering and embedded trapped modes for an infinite nonhomogeneous Timoshenko beam. Zbl 1276.74023 Aya, Hugo; Cano, Ricardo; Zhevandrov, Peter 6 2012 Trapped modes and resonances for water waves over a slightly perturbed bottom. Zbl 1290.35208 Romero Rodríguez, M. I.; Zhevandrov, P. 5 2010 On the convergence of the amplitude of the diffracted nonstationary wave in scattering by wedges. Zbl 1259.78016 Choque Rivero, A. E.; Karlovich, Yu. I.; Merzon, A. E.; Zhevandrov, P. N. 4 2012 High-frequency asymptotics of waves trapped by underwater ridges and submerged cylinders. Zbl 1113.76025 Marín, A. M.; Ortíz, R. D.; Zhevandrov, P. 3 2007 Waves trapped by submerged obstacles at high frequencies. Zbl 1180.76009 Marín, A. M.; Ortíz, R. D.; Zhevandrov, P. 3 2007 Trapped modes and scattering for oblique waves in a two-layer fluid. Zbl 1329.76040 Rodríguez, M. I. Romero; Zhevandrov, P. 3 2014 Non-local nonlinear equations of wind waves over an uneven bottom. Zbl 0678.76012 Dobrokhotov, S. Yu.; Zhevandrov, P. N.; Kuz’mina, V. M. 2 1987 Semiclassical approximation for bound states of the Schrödinger equation with a Coulomb-like potential. Zbl 0799.34084 Zhevandrov, Peter N. 2 1994 Water waves trapped by thin submerged cylinders: exact solutions. Zbl 1327.76027 Garibay, F.; Zhevandrov, P. 2 2015 Rayleigh-Bloch waves trapped by a periodic perturbation: exact solutions. Zbl 1393.35132 Merzon, Anatoli; Zhevandrov, P.; Romero Rodríguez, M. I.; De la Paz Méndez, J. E. 2 2018 The Cauchy-Poisson problem for gravitational-capillary waves on water of variable depth. Zbl 0663.76005 Zhevandrov, P. N. 1 1987 Ship waves on the surface of a floating liquid. Zbl 0683.76022 Zhevandrov, P. N. 1 1988 Stability of trapped surface waves under small perturbations of the density of the upper layer. Zbl 0982.76510 Zhevandrov, P. N.; Merzon, A. E. 1 1998 Asymptotic theory of propagation of nonstationary surface and internal waves over uneven bottom. Zbl 0819.35113 Dobrokhotov, S. Yu.; Zhevandrov, P. N.; Korobkin, A. A.; Sturova, I. V. 1 1992 On Maslov’s method for constructing combined asymptotics for h- pseudodifferential equations. Zbl 0703.35185 Danilov, V. G.; Zhevandrov, P. N. 1 1990 Cauchy-Poisson problem for a two-layer fluid of variable depth. Zbl 0850.76816 Zhevandrov, P. N.; Isakov, R. V. 1 1990 Wave scattering by a periodic perturbation: embedded Rayleigh-Bloch modes and resonances. Zbl 1423.35280 Zhevandrov, P.; Merzon, A.; Romero Rodríguez, M. I.; De la Paz Méndez, J. E. 1 2019 Water waves trapped by thin submerged cylinders in a two-layer fluid: discrete eigenvalue. Zbl 1423.76081 Rodríguez, M. I. Romero; Zhevandrov, P. 1 2019 Wave scattering by a periodic perturbation: embedded Rayleigh-Bloch modes and resonances. Zbl 1423.35280 Zhevandrov, P.; Merzon, A.; Romero Rodríguez, M. I.; De la Paz Méndez, J. E. 1 2019 Water waves trapped by thin submerged cylinders in a two-layer fluid: discrete eigenvalue. Zbl 1423.76081 Rodríguez, M. I. Romero; Zhevandrov, P. 1 2019 Rayleigh-Bloch waves trapped by a periodic perturbation: exact solutions. Zbl 1393.35132 Merzon, Anatoli; Zhevandrov, P.; Romero Rodríguez, M. I.; De la Paz Méndez, J. E. 2 2018 Water waves trapped by thin submerged cylinders: exact solutions. Zbl 1327.76027 Garibay, F.; Zhevandrov, P. 2 2015 Trapped modes and scattering for oblique waves in a two-layer fluid. Zbl 1329.76040 Rodríguez, M. I. Romero; Zhevandrov, P. 3 2014 Scattering and embedded trapped modes for an infinite nonhomogeneous Timoshenko beam. Zbl 1276.74023 Aya, Hugo; Cano, Ricardo; Zhevandrov, Peter 6 2012 On the convergence of the amplitude of the diffracted nonstationary wave in scattering by wedges. Zbl 1259.78016 Choque Rivero, A. E.; Karlovich, Yu. I.; Merzon, A. E.; Zhevandrov, P. N. 4 2012 Trapped modes and resonances for water waves over a slightly perturbed bottom. Zbl 1290.35208 Romero Rodríguez, M. I.; Zhevandrov, P. 5 2010 High-frequency asymptotics of waves trapped by underwater ridges and submerged cylinders. Zbl 1113.76025 Marín, A. M.; Ortíz, R. D.; Zhevandrov, P. 3 2007 Waves trapped by submerged obstacles at high frequencies. Zbl 1180.76009 Marín, A. M.; Ortíz, R. D.; Zhevandrov, P. 3 2007 Asymptotic expansions and the Maslov canonical opeator in the linear theory of water waves. I: Main constructions and equations for surface gravity waves. Zbl 1065.76026 Dobrokhotov, S. Yu.; Zhevandrov, P. N. 20 2003 Asymptotics of eigenfunctions in shallow potential wells and related problems. Zbl 1140.81396 Zhevandrov, P.; Merzon, A. 8 2003 Geometric asymptotics for a degenerate hyperbolic equation. Zbl 1104.35309 Vukašinac, T.; Zhevandrov, P. 15 2002 A method of complex characteristics for elliptic problems in angles, and its applications. Zbl 1290.35033 Komech, Alexander Ilich; Merzon, Anatolii E.; Zhevandrov, Peter N. 9 2002 On the Neumann problem for the Helmholtz equation in a plane angle. Zbl 0969.35042 Zhevandrov, Peter; Merzon, Anatoli 14 2000 High-frequency asymptotics of edge waves on a beach of nonconstant slope. Zbl 0974.76018 Merzon, A. E.; Zhevandrov, P. N. 7 1999 Stability of trapped surface waves under small perturbations of the density of the upper layer. Zbl 0982.76510 Zhevandrov, P. N.; Merzon, A. E. 1 1998 On the completeness of Ursell’s trapping modes. Zbl 0914.76013 Komech, Alexander I.; Merzon, Anatolij E.; Zhevandrov, Peter N. 6 1996 Semiclassical approximation for bound states of the Schrödinger equation with a Coulomb-like potential. Zbl 0799.34084 Zhevandrov, Peter N. 2 1994 Asymptotics of the solution of the Cauchy-Poisson problem in a layer of nonconstant thickness. Zbl 0810.35084 Dobrokhotov, S. Yu.; Zhevandrov, P. N.; Kuz’mina, V. M. 7 1993 Asymptotic theory of propagation of nonstationary surface and internal waves over uneven bottom. Zbl 0819.35113 Dobrokhotov, S. Yu.; Zhevandrov, P. N.; Korobkin, A. A.; Sturova, I. V. 1 1992 Asymptotic fast-decreasing solutions of linear, strictly hyperbolic systems with variable coefficients. Zbl 0735.35089 Dobrokhotov, S. Yu.; Zhevandrov, P. N.; Maslov, V. P.; Shafarevich, A. I. 25 1991 Edge waves on a gently sloping beach: Uniform asymptotics. Zbl 0738.76005 Zhevandrov, Peter 6 1991 On Maslov’s method for constructing combined asymptotics for h- pseudodifferential equations. Zbl 0703.35185 Danilov, V. G.; Zhevandrov, P. N. 1 1990 Cauchy-Poisson problem for a two-layer fluid of variable depth. Zbl 0850.76816 Zhevandrov, P. N.; Isakov, R. V. 1 1990 Ship waves on the surface of a floating liquid. Zbl 0683.76022 Zhevandrov, P. N. 1 1988 Non-local nonlinear equations of wind waves over an uneven bottom. Zbl 0678.76012 Dobrokhotov, S. Yu.; Zhevandrov, P. N.; Kuz’mina, V. M. 2 1987 The Cauchy-Poisson problem for gravitational-capillary waves on water of variable depth. Zbl 0663.76005 Zhevandrov, P. N. 1 1987 Nonstandard characteristics and Maslov’s operational method in linear problems concerning unsteady water waves. Zbl 0625.35080 Dobrokhotov, S. Yu.; Zhevandrov, P. N. 12 1985 all cited Publications top 5 cited Publications all top 5 Cited by 84 Authors 39 Dobrokhotov, Sergei Yurievich 27 Nazaikinskii, Vladimir E. 16 Merzon, Anatolĭ E. 16 Zhevandrov, Peter N. 12 Tirozzi, Brunello 11 Shafarevich, Andreĭ Igorevich 9 de la Paz Méndez, José Eligio 8 Tsvetkova, Anna V. 7 Anikin, A. Yu. 7 Sergeev, Sergeĭ Alekseevich 6 Rodríguez, M. I. Romero 6 Tolchennikov, Anton A. 5 Allilueva, Anna I. 5 Minenkov, Dmitrii S. 4 Pinheiro de Castro, Luís Filipe 4 Komech, Alexander Ilich 3 Duduchava, Roland 3 Grushin, V. V. 3 Kapanadze, David 3 Marín Ramirez, Ana Magnolia 3 Ortíz Ortíz, Ruben Dario 3 Rabinovich, Vladimir Samuilovich 3 Sekerzh-Zen’kovich, Sergeĭ Yakovlevich 3 Villalba-Vega, T. J. 2 Karasev, Mikhail Vladimirovich 2 Pelinovsky, Efim 2 Rouleux, Michel 2 Shipman, Stephen P. 2 Speck, Frank-Olme 2 Tsaava, Medea 1 Adamou, Alexander T. I. 1 Aya, Hugo 1 Belov, Vladimir Vasilyevich 1 Bestuzheva, Alla Nikolaevna 1 Bianchi, Daniela 1 Bikmetov, Aĭdar Renatovich 1 Cano, Ricardo 1 Craster, Richard V. 1 Didenkulova, I. I. 1 Dorfman, A. A. 1 Duchêne, Vincent 1 Dynnikov, Ivan Alekseevich 1 Gabov, Sergei Aleksandrovich 1 Gadyl’shin, Rustem R. 1 Garibay, Fernando 1 Gençtürk, İlker 1 Glebov, Sergey G. 1 Grotta Ragazzo, Clodoaldo 1 Johnson, Edward Robert 1 Karaev, A. D. 1 Karaeva, D. A. 1 Katsnelson, Mikhail I. 1 Kharif, Christian 1 Koiller, Jair 1 Kulipanov, Gennadiĭ Nikolaevich 1 Kuz’mina, V. M. 1 Llewellyn Smith, Stefan G. 1 Lozhnikov, D. A. 1 Lyalinov, Mikhail Anatolievich 1 Matveev, Vladimir S. 1 Medvedev, Sergeĭ Borisovich 1 Mironov, Andreĭ Evgen’evich 1 Navarrete, Anel Esquivel 1 Nekrasov, R. V. 1 Novikova, E. M. 1 Oliva, Waldyr Muniz 1 Rainha, Marcelo L. S. 1 Raymond, Nicolas 1 Reijnders, K. J. A. 1 Roberty, Nilson C. 1 Rodney, J. T. 1 Sadov, Sergey Yu. 1 Schafarevich, A. I. 1 Sinitsyn, S. O. 1 Sveshnikov, Alekseĭ Georgievich 1 Taĭmanov, Iskander Asanovich 1 Tillay, Jeremy 1 Tudorovskii, T. Ya. 1 Vargas, Carlos A. 1 Vesnin, Andrei Yu. 1 Votiakova, M. M. 1 Xu, Fei 1 Yang, Xue 1 Zahibo, Narcisse all top 5 Cited in 41 Serials 29 Russian Journal of Mathematical Physics 18 Mathematical Notes 6 Theoretical and Mathematical Physics 5 Mathematical Methods in the Applied Sciences 3 Journal of Applied Mathematics and Mechanics 3 Journal of Engineering Mathematics 3 Journal of Fluid Mechanics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 St. Petersburg Mathematical Journal 3 Doklady Mathematics 3 Proceedings of the Steklov Institute of Mathematics 2 Acta Applicandae Mathematicae 2 Journal of Mathematical Sciences (New York) 2 Georgian Mathematical Journal 2 Differential Equations 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Fluid Dynamics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Wave Motion 1 Prikladnaya Matematika i Mekhanika 1 Functional Analysis and its Applications 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Soviet Mathematics 1 Mathematical and Computer Modelling 1 Journal of Integral Equations and Applications 1 Computational Mathematics and Mathematical Physics 1 Annals of Physics 1 Journal of Nonlinear Science 1 Turkish Journal of Mathematics 1 Documenta Mathematica 1 Mathematical Problems in Engineering 1 European Journal of Mechanics. B. Fluids 1 Journal of Dynamical and Control Systems 1 Journal of Applied Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Complex Variables and Elliptic Equations 1 Communications in Mathematical Analysis all top 5 Cited in 22 Fields 74 Partial differential equations (35-XX) 45 Fluid mechanics (76-XX) 15 Quantum theory (81-XX) 13 Differential geometry (53-XX) 12 Operator theory (47-XX) 10 Optics, electromagnetic theory (78-XX) 9 Geophysics (86-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Ordinary differential equations (34-XX) 5 Integral equations (45-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Approximations and expansions (41-XX) 2 Special functions (33-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year