Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Euler–Tricomi equation"'
Autor:
N. Yu. Kapustin
Publikováno v:
Differential Equations. 53:1340-1345
We consider an inhomogeneous Tricomi problem for a parabolic-hyperbolic equation with noncharacteristic type change line and with Frankl type matching condition for the normal derivatives on the type change line. The auxiliary function method is used
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7f5e2c221d031c682d12c4b6a209c897
https://doi.org/10.1134/s001226611710010x
https://doi.org/10.1134/s001226611710010x
Autor:
A. N. Zarubin
Publikováno v:
Differential Equations. 53:1329-1339
We study a boundary value problem for the Lavrent’ev–Bitsadze equation with functional delay and advance. The general solution is constructed. The problem is uniquely solvable.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::62757b5a1afa5e5d0651bf26a30bbdaf
https://doi.org/10.1134/s0012266117100093
https://doi.org/10.1134/s0012266117100093
Autor:
Maria Radosz, Vu Hoang
Publikováno v:
Transactions of the American Mathematical Society. 369:7169-7211
We consider smooth, double-odd solutions of the two-dimensional Euler equation in [ − 1 , 1 ) 2 [-1, 1)^2 with periodic boundary conditions. This situation is a possible candidate to exhibit strong gradient growth near the origin. We analyze the fl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e7f888fced598f1ca9659b23bc2dff35
https://doi.org/10.1090/tran/6900
https://doi.org/10.1090/tran/6900
Autor:
A. N. Zarubin
Publikováno v:
Russian Mathematics. 61:1-9
We investigate a boundary-value problem for mixed-type equation with the Lavrent’ev–Bitsadze operator in the main term and q-difference deviations of the argument in the lowest terms. We construct a general solution to the equation and prove a un
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a50923d8a98a343025361789dd4475b5
https://doi.org/10.3103/s1066369x17010017
https://doi.org/10.3103/s1066369x17010017
Autor:
S. A. Aldashev
Publikováno v:
Journal of Mathematical Sciences. 210:1-8
Some examples that show that the homogeneous Tricomi problem for a multidimensional hyperbolic-parabolic equation has the infinite set of nontrivial solutions are constructed.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6389b1b2c00551f1a3d9d9f07a866d8c
https://doi.org/10.1007/s10958-015-2544-9
https://doi.org/10.1007/s10958-015-2544-9
Publikováno v:
Abstract and Applied Analysis, Vol 2015 (2015)
Abstr. Appl. Anal.
Abstr. Appl. Anal.
The existence and uniqueness results for the Tricomi problem of Chaplygin’s hodograph equation are shown, in the case that the domain considered is close to the parabolic degenerate line, by adopting the energy integral methods and choosing judicio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f20e078d3e9746c34e664bf2e48ed8f
https://doi.org/10.1155/2015/754781
https://doi.org/10.1155/2015/754781
Autor:
T. E. Moiseev
Publikováno v:
Differential Equations. 50:1378-1383
We obtain an integral representation of the solution of the Tricomi problem for the Lavrent’ev-Bitsadze equation with mixed boundary conditions in the elliptic part of the domain and with zero posed on one characteristic of the equation. The gradie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c7c8c458f716cb2107f7d586187d1f4d
https://doi.org/10.1134/s0012266114100115
https://doi.org/10.1134/s0012266114100115
Properties of solutions of the Tricomi problem for the Lavrent’ev-Bitsadze equation at corner points
Autor:
A. V. Rogovoy
Publikováno v:
Differential Equations. 49:1650-1654
We consider the Tricomi problem for the Lavrent’ev-Bitsadze equation for the case in which the elliptic part of the boundary is part of a circle. For the homogeneous equation, we introduce a new class of solutions that are not continuous at the cor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::10ecee7dd303703f54231c5814def398
https://doi.org/10.1134/s0012266113120197
https://doi.org/10.1134/s0012266113120197
Autor:
Kangqun Zhang
Publikováno v:
Acta Mathematica Sinica, English Series. 29:1581-1596
In this paper, we study the well-posedness of initial value problem for n-dimensional generalized Tricomi equation in the mixed-type domain {(t, x): t ∈ [−1,+∞), x ∈ ℝn} with the initial data given on the line t = −1 in Hadamard’s sense
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::da979eafdfa8a8675ef3cb2c1b72eb34
https://doi.org/10.1007/s10114-013-2123-2
https://doi.org/10.1007/s10114-013-2123-2
Autor:
G. M. Mirsaburova
Publikováno v:
Russian Mathematics. 57:13-26
We consider a generalized Tricomi equation with a singular coefficient. For this equation in a mixed domain we study the corresponding problem in the case, when a part of the boundary characteristic is free of boundary conditions; the deficient Trico
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dd3e27f63429e64870bfbd246688ca76
https://doi.org/10.3103/s1066369x13070025
https://doi.org/10.3103/s1066369x13070025