Results 21 to 30 of about 1,215,772 (276)

A moving boundary model motivated by electric breakdown: II. Initial value problem [PDF]

, 2009
An interfacial approximation of the streamer stage in the evolution of sparks and lightning can be formulated as a Laplacian growth model regularized by a 'kinetic undercooling' boundary condition.
Arrayás, Arrayás, Ben-Amar, Ben-Amar, Bensimon, Bensimon, Brau, C.-Y. Kao, Cummings, DeGregoria, Derks, Ebert, Ebert, Ebert, F. Brau, Fokas, Homsy, Howison, Howison, Iserles, Kessler, L. Schäfer, Lozansky, Luque, Luque, Mahadevan, Meulenbroek, Meulenbroek, Nie, Pelcé, Reissig, S. Tanveer, Saffman, Sämmer, Tanveer, Tanveer, Tanveer, U. Ebert   +37 more
core   +4 more sources

Direct and inverse problems for thermal grooving by surface diffusion with time dependent Mullins coefficient

Mathematical Modelling and Analysis, 2021
We consider the Mullins’ equation of a single surface grooving when the surface diffusion is not considered as very slow. This problem can be formed by a surface grooving of profiles in a finite space region.
Mansur I. Ismailov
doaj   +1 more source

On the solutions of nonlinear initial‐boundary value problems [PDF]

Abstract and Applied Analysis, 2004
We deal with the general initial‐boundary value problem for a second‐order nonlinear nonstationary evolution equation. The associated operator equation is studied by the Fredholm and Nemitskii operatortheory. Under local Hölder conditions for the nonlinear member, we observe quantitative and qualitative properties of the set of solutions of the given ...
Ďurikovič, Vladimír, Ďurikovičová, Monika   +1 more
openaire   +3 more sources

Stable radiation-controlling boundary conditions for the generalized harmonic Einstein equations [PDF]

, 2006
This paper is concerned with the initial-boundary value problem for the Einstein equations in a first-order generalized harmonic formulation. We impose boundary conditions that preserve the constraints and control the incoming gravitational radiation by ...
Alcubierre M, Alekseenko A, Bona C, Boyle M Lindblom L Pfeiffer H P Scheel M A Kidder L E, Buchman L T Sarbach O C A, Gundlach C, Hearn A C, Kreiss H O, Kreiss H O, Kreiss H O, Kreiss H O, Lindblom L, Majda A, Nagy G, O Rinne, Pretorius F, Rinne O, Rinne O, Secchi P, Stewart J M, Tarfulea N   +20 more
core   +2 more sources

Asymptotics of solutions to the Navier-Stokes system in exterior domains [PDF]

, 2013
We consider the incompressible Navier-Stokes equations with the Dirichlet boundary condition in an exterior domain of $\mathbb{R}^n$ with $n\geq2$. We compare the long-time behaviour of solutions to this initial-boundary value problem with the long-time ...
Amann, Biler, Bjorland, Borchers, Calderón, Cannone, Carpio, Cazenave, Christophe Lacave, Dan, Dan, Depauw, Dragoş Iftimie, Galdi, Gallay, Gallay, Giga, Giga, Giga, Giga, Grzegorz Karch, Kajikiya, Karch, Kato, Kozono, Lemarié-Rieusset, Maremonti, Planchon, Schonbek, Wiegner   +29 more
core   +4 more sources

Symmetry Analysis of Initial and Boundary Value Problems for Fractional Differential Equations in Caputo sense [PDF]

, 2019
In this work we study Lie symmetry analysis of initial and boundary value problems for partial differential equations (PDE) with Caputo fractional derivative.
Iskenderoglu, Gulistan, Kaya, Dogan
core   +2 more sources

Integrable initial-boundary-value problems

Theoretical and Mathematical Physics, 1991
Latex file, The talk on the International Conference: Nonlinear Physics: Theory and Experiment, II Gallipoli, Lecce, (Italy) June 27-July 6 ...
openaire   +3 more sources

Light-Front Quantisation as an Initial-Boundary Value Problem

, 1993
In the light front quantisation scheme initial conditions are usually provided on a single lightlike hyperplane. This, however, is insufficient to yield a unique solution of the field equations.
C. Dietmaier, E. Werner, F.G. Friedlander, G. Domokos, G. McCartor, G.'t Hooft, H. Leutwyler, H.C. Pauli, I.M. Gelfand, I.S. Gradshteyn, J. Schwinger, J.D. Bjorken, J.M. Namys?owski, K. Sundermeyer, L. Banyai, L. Faddeev, N.N. Bogolubov, P. Jordan, P.A.M. Dirac, P.A.M. Dirac, P.M. Morse, R. Courant, R. Jackiw, R.A. Neville, R.J. Perry, S. Fubini, S. Schlieder, S. Schweber, S.J. Chang, S.J. Chang, T. Heinzl, T. Heinzl, T. Heinzl, T. Heinzl, T. Myint-U, T. Suzuki   +35 more
core   +1 more source

Mixed Initial-Boundary Value Problem for the Capillary Wave Equation

Advances in Mathematical Physics, 2016
We study the mixed initial-boundary value problem for the capillary wave equation: iut+u2u=∂x3/2u,  t>0,  x>0;  u(x,0)=u0(x),  x>0; u(0,t)+βux(0,t)=h(t),  t>0, where ∂x3/2u=(1/2π)∫0∞sign⁡x-y/x-yuyy(y) dy.
B. Juarez Campos, Elena Kaikina, Hector F. Ruiz Paredes   +2 more
doaj   +1 more source

A Two-Dimensional Nonlocal Fractional Parabolic Initial Boundary Value Problem

Axioms
In this paper, we investigate a two-dimensional singular fractional-order parabolic partial differential equation in the Caputo sense. The partial differential equation is supplemented with Dirichlet and weighted integral boundary conditions.
Said Mesloub, Eman Alhazzani, Hassan Eltayeb Gadain   +2 more
doaj   +1 more source