Invariant manifolds for coupled nonlinear parabolic-hyperbolic partial differential equations
We consider an abstract system of coupled nonlinear parabolic-hyperbolic partial differential equations. This system describes, e.g., thermoelastic phenomena in various physical bodies. Several results on the existence of invariant exponentially attracting manifolds for similar problems were obtaine...
Saved in:
| Date: | 2005 |
|---|---|
| Main Authors: | Fastovska, T. B., Фастовська, Т. В. |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2005
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3719 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Invariant manifolds for coupled nonlinear parabolic-hyperbolic partial differential equations
by: Fastovska, T.B.
Published: (2005)
by: Fastovska, T.B.
Published: (2005)
On the existence of an invariant manifold for weakly nonlinear matrix differential equations
by: Lipchan, V. V., et al.
Published: (1996)
by: Lipchan, V. V., et al.
Published: (1996)
Theorem on the central manifold of a nonlinear parabolic equation
by: Belan, E. P., et al.
Published: (1996)
by: Belan, E. P., et al.
Published: (1996)
Conditional stability of quasitoroidal manifolds of systems of partial differential equations
by: Tkach, B. P., et al.
Published: (1998)
by: Tkach, B. P., et al.
Published: (1998)
Oscillation of nonlinear hyperbolic differential equations with impulses
by: Anping Liu, et al.
Published: (2004)
by: Anping Liu, et al.
Published: (2004)
Admissible integral manifolds for partial neutral functional-differential equations
by: Thieu Huy Nguyen, et al.
Published: (2022)
by: Thieu Huy Nguyen, et al.
Published: (2022)
Admissible integral manifolds for partial neutral functional-differential equations
by: Nguyen, Thieu Huy, et al.
Published: (2022)
by: Nguyen, Thieu Huy, et al.
Published: (2022)
On parameter dependence of bounded invariant manifolds of autonomous systems of differential equations
by: Bodnarchuk, S. V., et al.
Published: (1996)
by: Bodnarchuk, S. V., et al.
Published: (1996)
The International Conference “Nonlinear Partial Differential Equations”
by: Skrypnik, I. V., et al.
Published: (1998)
by: Skrypnik, I. V., et al.
Published: (1998)
Power geometry in nonlinear partial differential equations
by: Bruno, A.D.
Published: (2008)
by: Bruno, A.D.
Published: (2008)
Central manifolds of quasilinear parabolic equations
by: Belan, E. P., et al.
Published: (1998)
by: Belan, E. P., et al.
Published: (1998)
On the theory of integral manifolds for some delayed partial differential equations with nondense domain
by: C. Jendoubi
Published: (2020)
by: C. Jendoubi
Published: (2020)
On the theory of integral manifolds for some delayed partial differential equations with nondense domain
by: Jendoubi, C., et al.
Published: (2020)
by: Jendoubi, C., et al.
Published: (2020)
Asymptotic integration of singularly perturbed systems of hyperbolic-type partial differential equations with degeneration
by: Samusenko, P. F., et al.
Published: (2011)
by: Samusenko, P. F., et al.
Published: (2011)
Introduction of local coordinates for a countable system of differential equations in the neighborhood of an invariant manifold
by: Zahlivnaya, О. V., et al.
Published: (1996)
by: Zahlivnaya, О. V., et al.
Published: (1996)
Singularly perturbed problems of hyperbolic-parabolic type with lipschitzian nonlinearity
by: Perjan, A.
Published: (2005)
by: Perjan, A.
Published: (2005)
Perturbed Parabolic Equation on a Riemannian Manifold
by: Bondarenko, V. G., et al.
Published: (2003)
by: Bondarenko, V. G., et al.
Published: (2003)
Exponential stability of invariant manifold for nonlinear impulsive multifrequency system
by: P. Feketa, et al.
Published: (2019)
by: P. Feketa, et al.
Published: (2019)
A nonlinear fractional partial differential equation for image inpainting
by: O. Gouasnouane, et al.
Published: (2022)
by: O. Gouasnouane, et al.
Published: (2022)
On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations
by: Güngör, F.
Published: (2006)
by: Güngör, F.
Published: (2006)
Formal Integrals and Noether Operators of Nonlinear Hyperbolic Partial Differential Systems Admitting a Rich Set of Symmetries
by: Startsev, S.Y.
Published: (2017)
by: Startsev, S.Y.
Published: (2017)
Green–Samoilenko operator in the theory of invariant sets of nonlinear differential equations
by: Perestyuk, N. A., et al.
Published: (2009)
by: Perestyuk, N. A., et al.
Published: (2009)
Generalized Euler method for nonlinear first order partial differential equations
by: Kamont, Z., et al.
Published: (2003)
by: Kamont, Z., et al.
Published: (2003)
Application of ateb-functions to the construction of solutions of some nonlinear partial differential equations
by: Sokil, B. I., et al.
Published: (1996)
by: Sokil, B. I., et al.
Published: (1996)
Existence of positive solutions for a coupled system of nonlinear fractional differential equations
by: A. Ghanmi, et al.
Published: (2019)
by: A. Ghanmi, et al.
Published: (2019)
Existence of positive solutions for a coupled system of nonlinear
fractional differential equations
by: Ghanmi, A., et al.
Published: (2019)
by: Ghanmi, A., et al.
Published: (2019)
Parametric bufferness in systems of parabolic and hyperbolic equations with small diffusion
by: Kolesov, A. Yu., et al.
Published: (1998)
by: Kolesov, A. Yu., et al.
Published: (1998)
Problem with nonlocal conditions for weakly nonlinear hyperbolic equations
by: Goi, T. P., et al.
Published: (1997)
by: Goi, T. P., et al.
Published: (1997)
Invariant Submanifolds of Trans-Sasakian Manifolds
by: C. S. Bagewadi, et al.
Published: (2015)
by: C. S. Bagewadi, et al.
Published: (2015)
Invariant Submanifolds of Trans-Sasakian Manifolds
by: Bagewadi, C.S., et al.
Published: (2015)
by: Bagewadi, C.S., et al.
Published: (2015)
Δ Invariants of Plumbed Manifolds
by: Harichurn, Shimal, et al.
Published: (2025)
by: Harichurn, Shimal, et al.
Published: (2025)
Parametrix method for a parabolic equation on a Riemannian manifold
by: Bondarenko, V. G., et al.
Published: (1999)
by: Bondarenko, V. G., et al.
Published: (1999)
Doubly nonlinear parabolic equations with variable exponents of nonlinearity
by: Bokalo, T. M., et al.
Published: (2011)
by: Bokalo, T. M., et al.
Published: (2011)
Invariant Submanifolds of Trans-Sasakian Manifolds
by: Anitha, B. S., et al.
Published: (2015)
by: Anitha, B. S., et al.
Published: (2015)
Exact Solutions of Nonlinear Partial Differential Equations by the Method of Group Foliation Reduction
by: Anco, S.C., et al.
Published: (2011)
by: Anco, S.C., et al.
Published: (2011)
Exact Solutions of Nonlinear Partial Differential Equations by the Method of Group Foliation Reduction
by: Anco, S.C., et al.
Published: (2011)
by: Anco, S.C., et al.
Published: (2011)
Conditional invariance of the nonlinear wave equation
by: Fushchich , V. I., et al.
Published: (1991)
by: Fushchich , V. I., et al.
Published: (1991)
Theorem of the «fork» in Cauchy’s problem for nonlinear partial differential equations of higher orders
by: Kovach, Y. I., et al.
Published: (1966)
by: Kovach, Y. I., et al.
Published: (1966)
On asymptotic decompositions of invariant manifolds. II
by: Baris , Ya. S., et al.
Published: (1988)
by: Baris , Ya. S., et al.
Published: (1988)
Periodic solutions of a weakly nonlinear system of partial differential equations with pulse influence
by: Perestyuk, N. A., et al.
Published: (1997)
by: Perestyuk, N. A., et al.
Published: (1997)
Similar Items
-
Invariant manifolds for coupled nonlinear parabolic-hyperbolic partial differential equations
by: Fastovska, T.B.
Published: (2005) -
On the existence of an invariant manifold for weakly nonlinear matrix differential equations
by: Lipchan, V. V., et al.
Published: (1996) -
Theorem on the central manifold of a nonlinear parabolic equation
by: Belan, E. P., et al.
Published: (1996) -
Conditional stability of quasitoroidal manifolds of systems of partial differential equations
by: Tkach, B. P., et al.
Published: (1998) -
Oscillation of nonlinear hyperbolic differential equations with impulses
by: Anping Liu, et al.
Published: (2004)