On solvability of boundary value problems for the wave equation with a nonlinear dissipation in noncylindrical domains.
Kozhanov, A.I., Lar'kin, N.A. (2001)
Sibirskij Matematicheskij Zhurnal
Similarity:
Kozhanov, A.I., Lar'kin, N.A. (2001)
Sibirskij Matematicheskij Zhurnal
Similarity:
Carlos E. Kenig (2007)
Journées Équations aux dérivées partielles
Similarity:
Svatoslav Staněk (1993)
Annales Polonici Mathematici
Similarity:
A differential equation of the form (q(t)k(u)u')' = F(t,u)u' is considered and solutions u with u(0) = 0 are studied on the halfline [0,∞). Theorems about the existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
Xingbao Wu (1995)
Annales Polonici Mathematici
Similarity:
A nonlinear differential equation of the form (q(x)k(x)u')' = F(x,u,u') arising in models of infiltration of water is considered, together with the corresponding differential equation with a positive parameter λ, (q(x)k(x)u')' = λF(x,u,u'). The theorems about existence, uniqueness, boundedness of solution and its dependence on the parameter are established.
Arina A. Arkhipova (2001)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
We prove local in time solvability of the nonlinear initial-boundary problem to nonlinear nondiagonal parabolic systems of equations (multidimensional case). No growth restrictions are assumed on generating the system functions. In the case of two spatial variables we construct the global in time solution to the Cauchy-Neumann problem for a class of nondiagonal parabolic systems. The solution is smooth almost everywhere and has an at most finite number of singular points.
Boni, Theodore K., Nabongo, Diabate, Sery, Roger B. (2008)
The Journal of Nonlinear Sciences and its Applications
Similarity:
Yoshihiro Shibata (1992)
Banach Center Publications
Similarity:
The global existence theorem of classical solutions for one-dimensional nonlinear thermoelasticity is proved for small and smooth initial data in the case of a bounded reference configuration for a homogeneous medium, considering the Neumann type boundary conditions: traction free and insulated. Moreover, the asymptotic behaviour of solutions is investigated.
Dyatlov, G.V. (2001)
Siberian Mathematical Journal
Similarity:
Gorman, Arthur D., Yang, Huijun (2001)
International Journal of Mathematics and Mathematical Sciences
Similarity: