Results 11 to 20 of about 4,641 (126)

Applications of Partial Differential Equations in Fluid Physics

Communications on Applied Nonlinear Analysis
Partial differential equations, or PDEs, assume a critical part in grasping and outlining different fluid physics peculiarities. They have an expansive scope of utilizations, from expecting weather patterns to consolidating ocean streams, fire cycles ...
Dr. Y. Swapna, Mr. Vinayak, Kishan Nirmale, Mrs. Naga Pavani, Mr. Charanjit Singh, Mr. R. Ranganathan, Dr. Ashok Reddy Thontla, Dr. Nellore Manoj Kumar   +7 more
semanticscholar   +1 more source

On Integrable Doebner-Goldin Equations

, 1995
We suggest a method for integrating sub-families of a family of nonlinear {\sc Schr\"odinger} equations proposed by {\sc H.-D.~Doebner} and {\sc G.A.~Goldin} in the 1+1 dimensional case which have exceptional {\sc Lie} symmetries.
Anderson R L, Burgers J M, Cole J D, Courant R, Doebner H-D, Doebner H-D, Doebner H-D, Doebner H-D, Doebner H-D, Feynman R P, Fushchych W I, Fushchych W I, Fushchych W I, Fushchych W I, Fushchych W I, Fushchych W I, Goldin G A, Goldin G A, Guerra F, Hopf E, John F, Kibble T W B, Lax P, Lücke W, Nattermann P, Nattermann P, Nattermann P, Olver P J, Ovsiannikov L V, P Nattermann, R Zhdanov, Sabatier P C, Smolin L, Smoller J   +33 more
core   +2 more sources

Quantum transfer operators and chaotic scattering [PDF]

, 2009
Transfer operators have been used widely to study the long time properties of chaotic maps or flows. We describe quantum analogues of these operators, which have been used as toy models by the quantum chaos community, but are also relevant to study ...
Nonnenmacher, Stéphane
core   +4 more sources

A priori bounds for the generalised parabolic Anderson model

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra, Guilherme de Lima Feltes, Hendrik Weber   +2 more
wiley   +1 more source

From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama, Marina Murillo‐Arcila, Julio Puerta‐Fernández   +2 more
wiley   +1 more source

Branes as solutions of gauge theories in gravitational field [PDF]

, 2014
The idea of the Gauss map is unified with the concept of branes as hypersurfaces embedded into $D$-dimensional Minkowski space. The map introduces new generalized coordinates of branes alternative to their world vectors $\mathbf{x}$ and identified with ...
Zheltukhin, A. A.
core   +2 more sources

Peptide and Drug‐Protected Gold Nanoclusters as Promising Biomaterials: Synthesis, Properties, and Applications

Aggregate, Volume 7, Issue 2, February 2026.
The integration of atomically precise gold nanoclusters with peptides or drugs represents a cutting‐edge class of nanomaterials in the biomedical field, owing to their unique physicochemical properties such as water solubility, excellent biocompatibility, low toxicity, and good renal clearance.
Rebeca Garcia Moura, M. Terêsa Machini, Rongchao Jin   +2 more
wiley   +1 more source

Is the classical Bukhvostov-Lipatov model integrable? A Painlev\'e analysis

, 1998
In this work we apply the Weiss, Tabor and Carnevale integrability criterion (Painlev\'e analysis) to the classical version of the two dimensional Bukhvostov-Lipatov model. We are led to the conclusion that the model is not integrable classically, except
Ablowitz M.J., Bukhvostov A.P., Coleman S., Fateev V.A., Gebert R.W., Ince E.L., Kac V.G., Kowalevskaya S., Lesage F., Lowenstein H., Olshanetsky M.A., Osgood W.F., Ramani A., Tabor M., Weiss J., Yoshida H., Zamolodchikov A.B.   +16 more
core   +2 more sources

Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation

Advanced Physics Research, Volume 5, Issue 2, February 2026.
Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley   +1 more source

On Integrability and Exact Solvability in Deterministic and Stochastic Laplacian Growth

, 2019
We review applications of theory of classical and quantum integrable systems to the free-boundary problems of fluid mechanics as well as to corresponding problems of statistical mechanics.
Loutsenko, Igor, Yermolayeva, Oksana
core   +1 more source