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Gusev, Nikolay Anatolievich
Statistics
in MathSciNet: 13 (13)
in zbMATH: 8 (8)
in Web of Science: 11 (11)
in Scopus: 10 (10)
Gusev, Nikolay Anatolievich
Candidate of physico-mathematical sciences (2011)
Speciality: 01.01.03 (Mathematical physics)
E-mail:

https://www.mathnet.ru/eng/person30686
List of publications on Google Scholar
https://zbmath.org/authors/ai:gusev.n-a
https://mathscinet.ams.org/mathscinet/MRAuthorID/891625
https://www.webofscience.com/wos/author/record/I-4464-2016
https://www.scopus.com/authid/detail.url?authorId=35100277600
https://www.researchgate.net/profile/Nikolay_Gusev
https://arxiv.org/a/gusev_n_1

List of scientific publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2022
1. Paolo Bonicatto, Nikolay A. Gusev, “On the structure of divergence-free measures on $\mathbb R^2$”, Adv. Calc. Var., 15:4 (2022), 879–911 , arXiv: 1912.10936  mathnet  crossref  mathscinet  isi  scopus 2

   2019
2. Nikolay A. Gusev, “On the one-dimensional continuity equation with a nearly incompressible vector field”, Commun. Pure Appl. Anal., 18:2 (2019), 559–568  mathnet  crossref  mathscinet  zmath  isi  scopus 2
3. Paolo Bonicatto, Nikolay A. Gusev, “Non-uniqueness of signed measure-valued solutions to the continuity equation in presence of a unique flow”, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., 30:3 (2019), 511–531 , arXiv: 1809.10216  mathnet  crossref  mathscinet  zmath  isi 2

   2018
4. N. A. Gusev, “On the Definitions of Boundary Values of Generalized Solutions to an Elliptic-Type Equation”, Proc. Steklov Inst. Math., 301 (2018), 39–43  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
5. Nikolay A. Gusev, “A Necessary and Sufficient Condition for Existence of Measurable Flow of a Bounded Borel Vector Field”, Mosc. Math. J., 18:1 (2018), 85–92  mathnet  crossref  mathscinet  isi  scopus 3
6. P. Bonicatto, N. A. Gusev, “Superposition principle for the continuity equation in a bounded domain”, JPCS, 990 (2018), 12002 , 12 pp.  mathnet  crossref  mathscinet  isi  scopus 2

   2017
7. Gianluca Crippa, Nikolay Gusev, Stefano Spirito, Emil Wiedemann, “Failure of the chain rule for the divergence of bounded vector fields”, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5), 17:1 (2017), 1–18 , arXiv: 1412.2476  mathnet  crossref  mathscinet  isi 2

   2016
8. Stefano Bianchini, Paolo Bonicatto, Nikolay A. Gusev, “Renormalization for autonomous nearly incompressible BV vector fields in two dimensions”, SIAM J. Math. Anal., 48:1 (2016), 1–33 , arXiv: 1412.6387  mathnet  crossref  mathscinet  zmath  isi  elib  scopus 12
9. S. Bianchini, N. A. Gusev, “Steady nearly incompressible vector fields in two-dimension: chain rule and renormalization”, Arch. Rat. Mech. Anal., 222:2 (2016), 451–505 , arXiv: 1408.2932  mathnet  crossref  mathscinet  zmath  isi  elib  scopus 14

   2015
10. Gianluca Crippa, Nikolay Gusev, Stefano Spirito, Emil Wiedemann, “Non-uniqueness and prescribed energy for the continuity equation”, Communications in Mathematical Sciences, 13:7 (2015), 1937–1947 , arXiv: 1412.2478  crossref  mathscinet  zmath  isi  scopus 16

   2012
11. N. A. Gusev, “Asymptotic Properties of Linearized Equations of Low Compressible Fluid Motion”, Journal of Mathematical Fluid Mechanics, 14:3 (2012), 591-618 , arXiv: 1012.4778  crossref  mathscinet  zmath  adsnasa  scopus

   2011
12. N. A. Gusev, “Slabaya i silnaya skhodimost reshenii linearizovannykh uravnenii slaboszhimaemoi zhidkosti”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(22) (2011), 47–52  mathnet  mathnet  crossref  rsci 2
13. N. A. Gusev, “Asimptoticheskie svoistva reshenii linearizovannykh uravnenii dvizheniya slabo szhimaemoi sredy”, Trudy MFTI, 3:1 (2011), 57–60 (pdf)  elib

   2010
14. N. A. Gusev, “O zavisimosti gradienta resheniya zadachi Neimana dlya uravneniya Laplasa ot parametra”, Trudy MFTI, 2:2 (2010), 67–69 (pdf)  elib
15. E. G. Shifrin, N. A. Gusev, “Uravneniya filtratsii i zakon Darsi”, Doklady Akademii nauk, 435:5 (2010), 619–623  mathscinet  zmath  elib

   2009
16. I. V. Volovich, O. V. Groshev, N. A. Gusev, E. A. Kuryanovich, “On Solutions to the Wave Equation on a Non-globally Hyperbolic Manifold”, Proc. Steklov Inst. Math., 265 (2009), 262–275  mathnet  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2008
17. N. A. Gusev, “O resheniyakh uravnenii tipa Oberbeka Bussineska dlya slabo szhimaemykh sred”, Vestnik SamGU, Estestvennonauchnaya seriya, 8:1, 67 (2008), 369–380

Presentations in Math-Net.Ru
1. Weak Sard property and uniqueness of generalized solutions of the continuity equation
N. A. Gusev
International conference "Theory of functions and its applications" dedicated to the 120th anniversary of S. M. Nikol'skii
July 5, 2025 15:00
2. Гипотеза Нельсона и цепное правило
N. A. Gusev
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
May 21, 2025 16:00   
3. On the structure of divergence-free vector measures on the plane
N. A. Gusev
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 8, 2021 15:30   
4. Принцип суперпозиции для неотрицательных решений уравнения неразрывности в ограниченной области. Лекция 2
N. A. Gusev
V.P. Mikhailov seminar
June 15, 2017 13:30
5. Принцип суперпозиции для неотрицательных решений уравнения неразрывности в ограниченной области. Лекция 1
N. A. Gusev
V.P. Mikhailov seminar
April 27, 2017 13:30
6. О принципе суперпозиции для мерозначных решений уравнения неразрывности. Лекция 4
N. A. Gusev
V.P. Mikhailov seminar
December 15, 2016 13:30
7. О принципе суперпозиции для мерозначных решений уравнения неразрывности. Лекция 3
N. A. Gusev
V.P. Mikhailov seminar
December 8, 2016 13:30
8. О принципе суперпозиции для мерозначных решений уравнения неразрывности. Лекция 2
N. A. Gusev
V.P. Mikhailov seminar
December 1, 2016 13:30
9. О принципе суперпозиции для мерозначных решений уравнения неразрывности. Лекция 1
N. A. Gusev
V.P. Mikhailov seminar
November 17, 2016 13:30
10. On the one-dimensional continuity equation with a nearly incompressible vector field
Nikolay Gusev
New Trends in Mathematical and Theoretical Physics
October 6, 2016 15:30   
11. On the continuity equation with non-Lipschitz vector field
N. A. Gusev
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
May 11, 2016 16:00   
12. О регулярности слабых решений уравнения неразрывности с нелипшицевым векторным полем (продолжение)
N. A. Gusev
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
April 7, 2016 11:00
13. О регулярности слабых решений уравнения неразрывности с нелипшицевым векторным полем
N. A. Gusev
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
March 31, 2016 11:00
14. О ренормализационном свойстве квазинесжимаемых векторных полей на плоскости
N. A. Gusev
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
June 25, 2015 11:00
15. Исследование корректности и асимптотических свойств некоторых задач математической физики
N. A. Gusev
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
May 12, 2011 11:00
16. Асимптотические свойства решений линеаризованных уравнений движения слабо сжимаемой среды
N. A. Gusev
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
May 11, 2011 16:00
17. Асимптотические свойства решений линеаризованных уравнений слабо сжимаемой жидкости
N. A. Gusev
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
November 11, 2010 11:00
18. О задаче Коши для волнового уравнения на не глобально гиперболическом многообразии
I. V. Volovich, O. V. Groshev, N. A. Gusev, T. Ishiwatari, È. A. Kuryanovich
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
March 5, 2009 11:00

Organisations