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pro vyhledávání: '"Evgeniy Lokharu"'
Autor:
Evgeniy Lokharu
Publikováno v:
Journal of Mathematical Fluid Mechanics. 23
We prove that no two-dimensional Stokes and solitary waves exist when the vorticity function is negative and the Bernoulli constant is greater than a certain critical value given explicitly. In particular, we obtain an upper bound$$F \le \sqrt{2} + \
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1bbb193b5fc9b5f954d9154ca6f79527
https://doi.org/10.1007/s00021-021-00567-1
https://doi.org/10.1007/s00021-021-00567-1
Autor:
Evgeniy Lokharu
We prove a new explicit inequality for the non-dimensional flow force constant, significantly improving the Benjamin and Lighthill conjecture about irrotational steady water waves. As a corollary, we prove a bound for the wave amplitude in terms of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5d4e9d76f82e4d783f751f3fcab17e38
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-177843
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-177843
Publikováno v:
Kozlov, V, Lokharu, E & Wheeler, M H 2021, ' Nonexistence of subcritical solitary waves ', Archive for Rational Mechanics and Analysis . https://doi.org/10.1007/s00205-021-01659-y, https://doi.org/10.14760/OWP-2020-06
We prove the nonexistence of two-dimensional solitary gravity water waves with subcritical wave speeds and an arbitrary distribution of vorticity. This is a longstanding open problem, and even in the irrotational case there are only partial results r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb06eef4012413696dfd89f82142c83f
http://arxiv.org/abs/2001.10447
http://arxiv.org/abs/2001.10447
The two-dimensional free-boundary problem describing steady gravity waves with vorticity on water of finite depth is considered. Under the assumption that the vorticity is a negative constant whose absolute value is sufficiently large, we construct a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::349310a3b947b904f338107bb15d3fd6
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-170952
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-170952
Publikováno v:
Journal of Fluid Mechanics. 825:961-1001
We consider the nonlinear problem of steady gravity-driven waves on the free surface of a two-dimensional flow of an inviscid, incompressible fluid (say, water). The water motion is supposed to be rotational with a Lipschitz continuous vorticity dist
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f1a2ee55a2074accf7147dfa85325836
https://doi.org/10.1017/jfm.2017.361
https://doi.org/10.1017/jfm.2017.361
Publikováno v:
Archive for Rational Mechanics and Analysis
We prove the existence of three-dimensional steady gravity-capillary waves with vorticity on water of finite depth. The waves are periodic with respect to a given two-dimensional lattice and the relative velocity field is a Beltrami field, meaning th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::78da379cf8c4d560f7268f28e1383ccd
http://arxiv.org/abs/1908.02655
http://arxiv.org/abs/1908.02655
Autor:
Vladimir Kozlov, Evgeniy Lokharu
The problem for two-dimensional steady water waves with vorticity is considered. Using methods of spatial dynamics, we reduce the problem to a finite dimensional Hamiltonian system. The reduced system describes all small-amplitude solutions of the pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::24991dd4c03ab01e2eb1dcd131250ec7
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-158527
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-158527
Autor:
Evgeniy Lokharu, Erik Wahlén
Publikováno v:
Nonlinear Analysis
We consider steady three-dimensional gravity–capillary water waves with vorticity propagating on water of finite depth. We prove a variational principle for doubly periodic waves with relative velocities given by Beltrami vector fields, under gener
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98c3a154857d1f40b0ed49c16aff03f7
Autor:
Evgeniy Lokharu, Vladimir Kozlov
Two-dimensional steady gravity driven water waves with vorticity are considered. Using a multidimensional bifurcation argument, we prove the existence of small-amplitude periodic steady waves with an arbitrary number of crests per period. The role of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eabb57856ff8fde0eb3ece89b87dddf8
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-149364
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-149364
Autor:
Evgeniy Lokharu
The problem of describing two-dimensional traveling water waves is considered. The water region is of finite depth and the interface between the region and the air is given by the graph of a function. We assume the flow to be incompressible and negle
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::44d94567fb9b4dbb0b7b6e2bcbf67733
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-134243
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-134243