Relevant bibliographies by topics / Generalised KPZ equation

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Generalised KPZ equation'

Author: Grafiati
Published: 4 June 2021
Last updated: 13 February 2022

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Journal articles on the topic "Generalised KPZ equation"

1

Kupiainen, Antti, and Matteo Marcozzi. "Renormalization of Generalized KPZ Equation." Journal of Statistical Physics 166, no. 3-4 (2016): 876–902. http://dx.doi.org/10.1007/s10955-016-1636-3.

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2

Catuogno, Pedro, and Christian Olivera. "Renormalized-generalized solutions for the KPZ equation." Infinite Dimensional Analysis, Quantum Probability and Related Topics 17, no. 04 (2014): 1450027. http://dx.doi.org/10.1142/s0219025714500271.

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This work introduces a new notion of solution for the KPZ equation, in particular, our approach encompasses the Cole–Hopf solution. We set in the context of the distribution theory the proposed results by Bertini and Giacomin from the mid '90s. This new approach provides a pathwise notion of solution as well as a structured approximation theory. The developments are based on regularization arguments from the theory of distributions.
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3

Davies, I. M., A. Truman, and H. Z. Zhao. "Stochastic generalised KPP equations." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 126, no. 5 (1996): 957–83. http://dx.doi.org/10.1017/s0308210500023192.

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We classify multiplicative white noise perturbationsk(·)dw, of generalised KPP equations and their effects on deterministic approximate travelling wave solutions by the behaviour of, the solutions of the stochastic generalised KPP equations converge to deterministic approximate travelling waves and ifbeing an associated potential energy, Фsa solution of the corresponding classical mechanical equations of Newton,Dbeing a certain domain inR1×Rrthen the white noise perturbations essentially destroy the wave structure and force the solutions to die down.For the case(suppose the existence of the li
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4

Zhao, Yun-Mei, Ying-Hui He, and Yao Long. "The Simplest Equation Method and Its Application for Solving the Nonlinear NLSE, KGZ, GDS, DS, and GZ Equations." Journal of Applied Mathematics 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/960798.

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A good idea of finding the exact solutions of the nonlinear evolution equations is introduced. The idea is that the exact solutions of the elliptic-like equations are derived using the simplest equation method and the modified simplest equation method, and then the exact solutions of a class of nonlinear evolution equations which can be converted to the elliptic-like equation using travelling wave reduction are obtained. For example, the perturbed nonlinear Schrödinger’s equation (NLSE), the Klein-Gordon-Zakharov (KGZ) system, the generalized Davey-Stewartson (GDS) equations, the Davey-Stewart
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5

Qi, Yuanwei, and Mingxin Wang. "The self-similar profiles of generalized KPZ equation." Pacific Journal of Mathematics 201, no. 1 (2001): 223–40. http://dx.doi.org/10.2140/pjm.2001.201.223.

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6

GUEDDA, Mohammed, and Robert KERSNER. "Self-similar solutions to the generalized deterministic KPZ equation." NoDEA : Nonlinear Differential Equations and Applications 10, no. 1 (2003): 1–13. http://dx.doi.org/10.1007/s00030-003-1036-z.

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7

Gladkov, Alexander. "Self-Similar Blow-Up Solutions of the KPZ Equation." International Journal of Differential Equations 2015 (2015): 1–4. http://dx.doi.org/10.1155/2015/572841.

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8

Zhao, H. Z. "On gradients of approximate travelling waves for generalised KPP equations." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 127, no. 2 (1997): 423–39. http://dx.doi.org/10.1017/s0308210500023738.

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In this paper we use stochastic semiclassical analysis and the logarithmic transformation to study the gradients of the approximate travelling wave solutions for the generalised KPP equations with Gaussian and Dirac delta initial distributions. We apply the logarithmic transformation to the nonlinear reaction diffusion equations and obtain a Maruyama–Girsanov–Cameron–Martin formula for the driftμ2∇loguμ,uμbeing a solution of a generalised KPP equation. We obtain thatμ2|∇ loguμ(t,x)| is bounded and the trough is flat. The difficult problem in this paper is to prove that the corresponding crest
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9

Huang, Zhehao, and Zhengrong Liu. "Stochastic traveling wave solution to stochastic generalized KPP equation." Nonlinear Differential Equations and Applications NoDEA 22, no. 1 (2014): 143–73. http://dx.doi.org/10.1007/s00030-014-0279-9.

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10

Shapovalov, Alexander, and Andrey Trifonov. "Approximate Solutions and Symmetry of a Two-Component Nonlocal Reaction-Diffusion Population Model of the Fisher–KPP Type." Symmetry 11, no. 3 (2019): 366. http://dx.doi.org/10.3390/sym11030366.

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We propose an approximate analytical approach to a ( 1 + 1 ) dimensional two-component system consisting of a nonlocal generalization of the well-known Fisher–Kolmogorov–Petrovskii– Piskunov (KPP) population equation and a diffusion equation for the density of the active substance solution surrounding the population. Both equations of the system have terms that describe the interaction effects between the population and the active substance. The first order perturbation theory is applied to the system assuming that the interaction parameter is small. The Wentzel–Kramers–Brillouin (WKB)–Maslov
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Dissertations / Theses on the topic "Generalised KPZ equation"

1

Bruned, Yvain. "Equations Singulières de type KPZ." Thesis, Paris 6, 2015. http://www.theses.fr/2015PA066517/document.

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Dans cette thèse, on s'intéresse à l'existence et à l'unicité d'une solution pour l'équation KPZ généralisée. On utilise la théorie récente des structures de régularité inspirée des chemins rugueux et introduite par Martin Hairer afin de donner sens à ce type d'équations singulières. La procédure de résolution comporte une partie algébrique à travers la définition du groupe de renormalisation et une partie stochastique avec la convergence de processus stochastiques renormalisés. Une des améliorations notoire de ce travail apportée aux structures de régularité est la définition du groupe de ren
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Books on the topic "Generalised KPZ equation"

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Dzhamay, Anton, Ken'ichi Maruno, and Christopher M. Ormerod. Algebraic and analytic aspects of integrable systems and painleve equations: AMS special session on algebraic and analytic aspects of integrable systems and painleve equations : January 18, 2014, Baltimore, MD. American Mathematical Society, 2015.

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2

Borodin, Alexei, and Leonid Petrov. Integrable probability: stochastic vertex models and symmetric functions. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797319.003.0002.

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This chapter presents the study of a homogeneous stochastic higher spin six-vertex model in a quadrant. For this model concise integral representations for multipoint q-moments of the height function and for the q-correlation functions are derived. At least in the case of the step initial condition, these formulas degenerate in appropriate limits to many known formulas of such type for integrable probabilistic systems in the (1+1)d KPZ universality class, including the stochastic six-vertex model, ASEP, various q-TASEPs, and associated zero-range processes. The arguments are largely based on p
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3

Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices Ams Special Session Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices January 67 2012 Boston Ma. American Mathematical Society, 2013.

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Book chapters on the topic "Generalised KPZ equation"

1

Kodama, Y. "A Generalized Sato’s Equation of the KP Theory and Weyl Algebra." In Springer Series in Nonlinear Dynamics. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-77769-1_20.

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2

Bogdanov, L., and B. Konopelchenko. "Möbius invariant integrable lattice equations associated with the generalized KP hierarchy." In SIDE III—Symmetries and Integrability of Difference Equations. American Mathematical Society, 2000. http://dx.doi.org/10.1090/crmp/025/04.

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3

Das, Amiya, and Asish Ganguly. "Topological and Nontopological 1-Soliton Solution of the Generalized KP-MEW Equation." In Mathematical Analysis and its Applications. Springer India, 2015. http://dx.doi.org/10.1007/978-81-322-2485-3_22.

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4

Baskonus, Haci Mehmet, Ajay Kumar, M. S. Rawat, Bilgin Senel, Gulnur Yel, and Mine Senel. "Studying on the Complex and Mixed Dark-Bright Travelling Wave Solutions of the Generalized KP-BBM Equation." In Advanced Numerical Methods for Differential Equations. CRC Press, 2021. http://dx.doi.org/10.1201/9781003097938-2.

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5

Mason, L. J. "Generalized Twister Correspondences, d-Bar Problems, and the KP Equations." In twistor theory. Routledge, 2017. http://dx.doi.org/10.1201/9780203734889-8.

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Conference papers on the topic "Generalised KPZ equation"

1

Gu, Lixing. "Generalized Equation for Thermal Conductivity of MLI at Temperatures From 20K to 300K." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-41830.

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Multilayer insulation (MLI) has the lowest thermal conductivity of any currently used insulation in high vacuum environments and is used in cryogenic insulation system to minimize heat leaks in liquid hydrogen storage tanks. MLI consists of highly reflective radiation shields separated by spacers or insulation. The thermal conductivity of MLI varies with both temperature and vacuum level. Most published apparent thermal conductivities were measured for temperatures between 80K and 300K; some of the published data were for temperatures between 20K and 80K. Since the temperature of liquid hydrog
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2

Quan, Shuangyan, and Jing Zhang. "The Algebraic Method with Computerized Symbolic Computation for Travelling Wave Solutions of the Generalized KP-BBM Equation." In 2012 Eighth International Conference on Computational Intelligence and Security (CIS). IEEE, 2012. http://dx.doi.org/10.1109/cis.2012.104.

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3

YAN, ZHEN-YA, and HONG-QING ZHANG. "SOME CONCLUSIONS FOR (2+1)-DIMENSIONAL GENERALIZED KP EQUATION: DARBOUX TRANSFORMATION, NONLINEAR SUPERPROSITION FORMULA AND SOLITON-LIKE SOLUTIONS." In Proceedings of the Fourth Asian Symposium (ASCM 2000). WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812791962_0031.

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