Results 11 to 20 of about 23 (22)

Asymptotic behavior of solutions of the damped Boussinesq equation in two space dimensions

International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 131-145, 1999., 1999
The Cauchy problem for the damped Boussinesq equation with small initial data is considered in two space dimensions. Existence and uniqueness of its classical solution is proved and the solution is constructed in the form of a series. The major term of its long‐time asymptotics is calculated explicitly and a uniform in space estimate of the residual ...
Vladimir V. Varlamov
wiley   +1 more source

Existence of periodic traveling wave solutions to the generalized forced Boussinesq equation

International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 3, Page 643-648, 1999., 1999
The generalized forced Boussinesq equation, utt − uxx + [f(u)]xx + uxxxx = h0, and its periodic traveling wave solutions are considered. Using the transform z = x − ωt, the equation is converted to a nonlinear ordinary differential equation with periodic boundary conditions.
Kenneth L. Jones, Yunkai Chen
wiley   +1 more source

Nearly conconcentric Korteweg‐de Vries equation and periodic traveling wave solution

International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 1, Page 183-187, 1998., 1998
The generalized nearly concentric Korteweg‐de Vries equation is considered. The author converts the equation into the power Kadomtsev‐Petviashvili equation . Solitary wave solutions and cnoidal wave solutions are obtained. The cnoidal wave solutions are shown to be representable as infinite sums of solitons by using Fourier series expansions and ...
Yunkai Chen
wiley   +1 more source

Long‐time asymptotics of solutions of the second initial‐boundary value problem for the damped Boussinesq equation

Abstract and Applied Analysis, Volume 2, Issue 3-4, Page 281-299, 1997., 1997
For the damped Boussinesq equation , the second initial‐boundary value problem is considered with small initial data. Its classical solution is constructed in the form of a series in small parameter present in the initial conditions and the uniqueness of solutions is proved. The long‐time asymptotics is obtained in the explicit form and the question of
Vladimir V. Varlamov
wiley   +1 more source

Conservation laws for incompressible fluids

International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 2, Page 377-384, 1989., 1989
By means of a direct approach, a complete set of conservation laws for incompressible fluids is determined. The problem is solved in the material (Lagrangian) description and the results are eventually rewritten in the spatial (Eulerian) formulation. A new infinite family of conservation laws is determined, besides those for linear momentum, angular ...
G. Caviglia, A. Morro
wiley   +1 more source

On singularities of capillary surfaces in the absence of gravity

International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 1, Page 81-87, 1983., 1983
We study numerical solutions to the equation of capillary surfaces in trapezoidal domains in the absence of gravity when the boundary contact angle declines from 90° to some critical value. We also discuss a result on the behavior of solutions in more general domains that confirms numerical calculations.
V. Roytburd
wiley   +1 more source

An SIR model with viral load-dependent transmission. [PDF]

J Math Biol, 2023
Della Marca R, Loy N, Tosin A.
europepmc   +1 more source

Multi-Cue Kinetic Model with Non-Local Sensing for Cell Migration on a Fiber Network with Chemotaxis. [PDF]

Bull Math Biol, 2022
Conte M, Loy N.
europepmc   +1 more source

On a novel gradient flow structure for the aggregation equation. [PDF]

Calc Var Partial Differ Equ
Esposito A, Gvalani RS, Schlichting A, Schmidtchen M.   +3 more
europepmc   +1 more source

The State of US Health, 1990-2016: Burden of Diseases, Injuries, and Risk Factors Among US States.

JAMA, 2018
US Burden of Disease Collaborators, Mokdad AH, Ballestros K, Echko M, Glenn S, Olsen HE, Mullany E, Lee A, Khan AR, Ahmadi A, Ferrari AJ, Kasaeian A, Werdecker A, Carter A, Zipkin B, Sartorius B, Serdar B, Sykes BL, Troeger C, Fitzmaurice C, Rehm CD, Santomauro D, Kim D, Colombara D, Schwebel DC, Tsoi D, Kolte D, Nsoesie E, Nichols E, Oren E, Charlson FJ, Patton GC, Roth GA, Hosgood HD, Whiteford HA, Kyu H, Erskine HE, Huang H, Martopullo I, Singh JA, Nachega JB, Sanabria JR, Abbas K, Ong K, Tabb K, Krohn KJ, Cornaby L, Degenhardt L, Moses M, Farvid M, Griswold M, Criqui M, Bell M, Nguyen M, Wallin M, Mirarefin M, Qorbani M, Younis M, Fullman N, Liu P, Briant P, Gona P, Havmoller R, Leung R, Kimokoti R, Bazargan-Hejazi S, Hay SI, Yadgir S, Biryukov S, Vollset SE, Alam T, Frank T, Farid T, Miller T, Vos T, Bärnighausen T, Gebrehiwot TT, Yano Y, Al-Aly Z, Mehari A, Handal A, Kandel A, Anderson B, Biroscak B, Mozaffarian D, Dorsey ER, Ding EL, Park EK, Wagner G, Hu G, Chen H, Sunshine JE, Khubchandani J, Leasher J, Leung J, Salomon J, Unutzer J, Cahill L, Cooper L, Horino M, Brauer M, Breitborde N, Hotez P, Topor-Madry R, Soneji S, Stranges S, James S, Amrock S, Jayaraman S, Patel T, Akinyemiju T, Skirbekk V, Kinfu Y, Bhutta Z, Jonas JB, Murray CJL.   +115 more
europepmc   +1 more source