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Quasi-periodic Standing Wave Solutions of Gravity-Capillary Water Waves, Massimiliano Berti, Riccardo Montalto


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Автор: Massimiliano Berti, Riccardo Montalto
Название:  Quasi-periodic Standing Wave Solutions of Gravity-Capillary Water Waves
ISBN: 9781470440695
Издательство: Mare Nostrum (Eurospan)
Классификация:


ISBN-10: 1470440695
Обложка/Формат: Paperback
Страницы: 171
Вес: 0.15 кг.
Дата издания: 30.04.2020
Серия: Memoirs of the american mathematical society
Язык: English
Размер: H 254 X W 178
Ключевые слова: Differential calculus & equations,Mathematical physics
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Поставляется из: Англии
Описание: The authors prove the existence and the linear stability of small amplitude time quasi-periodic standing wave solutions (i.e. periodic and even in the space variable $x$) of a 2-dimensional ocean with infinite depth under the action of gravity and surface tension. Such an existence result is obtained for all the values of the surface tension belonging to a Borel set of asymptotically full Lebesgue measure.
Дополнительное описание: Mathematical physics|Differential calculus and equations



Complex Harmonic Splines, Periodic Quasi-Wavelets

Автор: Han-lin Chen
Название: Complex Harmonic Splines, Periodic Quasi-Wavelets
ISBN: 0792361377 ISBN-13(EAN): 9780792361374
Издательство: Springer
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Цена: 12577.00 р.
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Описание: This book, written by our distinguished colleague and friend, Professor Han-Lin Chen of the Institute of Mathematics, Academia Sinica, Beijing, presents, for the first time in book form, his extensive work on complex harmonic splines with applications to wavelet analysis and the numerical solution of boundary integral equations.

Complex Harmonic Splines, Periodic Quasi-Wavelets

Автор: Han-lin Chen
Название: Complex Harmonic Splines, Periodic Quasi-Wavelets
ISBN: 9401058431 ISBN-13(EAN): 9789401058438
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This book, written by our distinguished colleague and friend, Professor Han-Lin Chen of the Institute of Mathematics, Academia Sinica, Beijing, presents, for the first time in book form, his extensive work on complex harmonic splines with applications to wavelet analysis and the numerical solution of boundary integral equations.

Periodic Solutions of Nonlinear Dynamical Systems

Автор: Eduard Reithmeier
Название: Periodic Solutions of Nonlinear Dynamical Systems
ISBN: 3540545123 ISBN-13(EAN): 9783540545125
Издательство: Springer
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Цена: 3492.00 р.
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Описание: Addressing mathematicians and engineers working with nonlinear dynamics, this monograph describes the multiple shooting method, which is employed in numerically computing limit cycles. The theory is supported by numerous examples, mainly from the field of nonlinear vibrations.

Quasi-Periodic Motions in Families of Dynamical Systems

Автор: Hendrik W. Broer; George B. Huitema; Mikhail B. Se
Название: Quasi-Periodic Motions in Families of Dynamical Systems
ISBN: 3540620257 ISBN-13(EAN): 9783540620259
Издательство: Springer
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Цена: 6282.00 р.
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Описание: This book is devoted to the phenomenon of quasi-periodic motion in dynamical systems. On the one hand, Hamiltonian systems occur that are in complete order: these are the integrable systems where all motion is confined to invariant tori.

Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics

Автор: Seshadev Padhi; John R. Graef; P. D. N. Srinivasu
Название: Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics
ISBN: 8132235428 ISBN-13(EAN): 9788132235422
Издательство: Springer
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Цена: 13275.00 р.
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Описание: Chapter 1. Introduction.- Chapter 2. Positive Periodic Solutions of Nonlinear Functional Differential Equations with Parameter λ.- Chapter 3. Multiple Periodic Solutions of a System of Functional Differential Equations.- Chapter 4. Multiple Periodic Solutions of Nonlinear Functional Differential Equations.- Chapter 5. Asymptotic Behavior of Periodic Solutions of Differential Equations of First Order.- Bibliography.

Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations

Автор: Marko Kostic
Название: Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations
ISBN: 3110641240 ISBN-13(EAN): 9783110641240
Издательство: Walter de Gruyter
Цена: 21004.00 р.
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Описание: This book discusses almost periodic and almost automorphic solutions to abstract integro-differential Volterra equations that are degenerate in time, and in particular equations whose solutions are governed by (degenerate) solution operator families with removable singularities at zero. It particularly covers abstract fractional equations and inclusions with multivalued linear operators as well as abstract fractional semilinear Cauchy problems.

Global Bifurcation of Periodic Solutions with Symmetry

Автор: Bernold Fiedler
Название: Global Bifurcation of Periodic Solutions with Symmetry
ISBN: 3540192344 ISBN-13(EAN): 9783540192343
Издательство: Springer
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Цена: 3487.00 р.
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Описание: Suppose one encounters a continuous time dynamical system with some built-in symmetry. Should one expect periodic motions which somehow reflect this symmetry? And how would periodicity harmonize with symmetry? This book probes these questions.

Spectral theory for simply periodic solutions of the sinh-gordon equation

Автор: Klein, Sebastian
Название: Spectral theory for simply periodic solutions of the sinh-gordon equation
ISBN: 3030012751 ISBN-13(EAN): 9783030012755
Издательство: Springer
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Цена: 5589.00 р.
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Описание: This book develops a spectral theory for the integrable system of 2-dimensional, simply periodic, complex-valued solutions u of the sinh-Gordon equation. Such solutions (if real-valued) correspond to certain constant mean curvature surfaces in Euclidean 3-space. Spectral data for such solutions are defined (following ideas of Hitchin and Bobenko) and the space of spectral data is described by an asymptotic characterization. Using methods of asymptotic estimates, the inverse problem for the spectral data is solved along a line, i.e. the solution u is reconstructed on a line from the spectral data. Finally, a Jacobi variety and Abel map for the spectral curve are constructed and used to describe the change of the spectral data under translation of the solution u. The book's primary audience will be research mathematicians interested in the theory of infinite-dimensional integrable systems, or in the geometry of constant mean curvature surfaces.

Periodic Solutions of Singular Lagrangian Systems

Автор: A. Ambrosetti; V. Coti-Zelati
Название: Periodic Solutions of Singular Lagrangian Systems
ISBN: 0817636552 ISBN-13(EAN): 9780817636555
Издательство: Springer
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Цена: 14673.00 р.
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Описание: A summary and synthesis of recent research demonstrating that variational methods can be used to successfully handle systems with singular potential, the Lagrangian systems. The classic cases of the Kepler problem and the N-body problem are used as specific examples.

Periodic Solutions of Singular Lagrangian Systems

Автор: A. Ambrosetti; V. Coti-Zelati
Название: Periodic Solutions of Singular Lagrangian Systems
ISBN: 1461267056 ISBN-13(EAN): 9781461267058
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Thismonographdealswiththeexistenceofperiodicmotionsof Lagrangiansystemswith ndegreesoffreedom ij + V'(q) =0, where Visasingularpotential.Aprototypeofsuchaproblem, evenifitisnottheonlyphysicallyinterestingone, istheKepler problem .. q 0 q+yqr= . This, jointlywiththemoregeneralN-bodyproblem, hasalways beentheobjectofagreatdealofresearch.Mostofthoseresults arebasedonperturbationmethods, andmakeuseofthespecific featuresoftheKeplerpotential. OurapproachismoreonthelinesofNonlinearFunctional Analysis: ourmainpurposeistogiveafunctionalframefor systemswithsingularpotentials, includingtheKeplerandthe N-bodyproblemasparticularcases.PreciselyweuseCritical PointTheorytoobtainexistenceresults, qualitativeinnature, whichholdtrueforbroadclassesofpotentials.Thishighlights thatthevariationalmethods, whichhavebeenemployedtoob- tainimportantadvancesinthestudyofregularHamiltonian systems, canbesuccessfallyusedtohandlesingularpotentials aswell. Theresearchonthistopicisstillinevolution, andtherefore theresultswewillpresentarenottobeintendedasthefinal ones. Indeedamajorpurposeofourdiscussionistopresent methodsandtoolswhichhavebeenusedinstudyingsuchprob- lems. Vlll PREFACE Partofthematerialofthisvolumehasbeenpresentedina seriesoflecturesgivenbytheauthorsatSISSA, Trieste, whom wewouldliketothankfortheirhospitalityandsupport. We wishalsotothankUgoBessi, PaoloCaldiroli, FabioGiannoni, LouisJeanjean, LorenzoPisani, EnricoSerra, KazunakaTanaka, EnzoVitillaroforhelpfulsuggestions. May26,1993 Notation n 1.For x, yE IR, x. ydenotestheEuclideanScalarproduct, and IxltheEuclideannorm. 2. meas(A)denotestheLebesguemeasureofthesubset Aof n IR - 3.Wedenoteby ST = 0, T]/{a, T}theunitarycirclepara- metrizedby t E 0, T].Wewillalsowrite SI= ST=I. n 1 n 4.Wewillwrite sn = {xE IR +: Ixl =I}andn = IR \{O}. n 5.Wedenoteby LP( O, T], IR ),1 p +00, theLebesgue spaces, equippedwiththestandardnorm lIulip. l n l n 6. H (ST, IR )denotestheSobolevspaceof u E H,2(0, T; IR ) suchthat u(O) = u(T).Thenormin HIwillbedenoted by lIull2 = lIull + lIull - 7.Wedenoteby(-1-)and11-11respectivelythescalarproduct andthenormoftheHilbertspace E. 8.For uE E, EHilbertorBanachspace, wedenotetheball ofcenter uandradiusrby B(u, r) = {vE E: lIu- vii r}.Wewillalsowrite B = B(O, r). r 1 1 9.WesetA (n) = {uE H (St, n)}. k 10.For VE C (1Rxil, IR)wedenoteby V'(t, x)thegradient of Vwithrespectto x. l 11.Given f E C (M, IR), MHilbertmanifold, welet r = {uEM: f(u) a}, f-l(a, b) = {uE E: a f(u) b}. x NOTATION 12.Given f E C1(M, JR), MHilbertmanifold, wewilldenote by Zthesetofcriticalpointsof fon Mandby Zctheset Z U f-l(c, c). 13.Givenasequence UnE E, EHilbertspace, by Un ---"" Uwe willmeanthatthesequence Unconvergesweaklyto u. 14.With (E)wewilldenotethesetoflinearandcontinuous operatorson E. 15.With Ck''''(A, JR)wewilldenotethesetoffunctions ffrom AtoJR, ktimesdifferentiablewhosek-derivativeisHolder continuousofexponent0: . Main Assumptions Wecollecthere, forthereader'sconvenience, themainassump- tionsonthepotential Vusedthroughoutthebook. (VO) VEC1(lRXO, lR), V(t+T, x)=V(t, X) V(t, x)ElRXO, (VI) V(t, x)

Partial differential equations: time-periodic solutions

Автор: Otto Vejvoda; L. Herrmann; V. Lovicar; M. Sova; I.
Название: Partial differential equations: time-periodic solutions
ISBN: 9024727723 ISBN-13(EAN): 9789024727728
Издательство: Springer
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Цена: 34799.00 р.
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Almost Periodic Oscillations and Waves

Автор: Constantin Corduneanu
Название: Almost Periodic Oscillations and Waves
ISBN: 1441918906 ISBN-13(EAN): 9781441918901
Издательство: Springer
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Описание: This book presents the latest in almost periodic oscillations and waves. It offers the foundations for the theory as well as the basic facts relating to almost periodicity through six unifying chapters that treat various classes of almost periodic functions.


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