Výsledky vyhledávání - Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs

Continuous dependence of thermoelasticity problem

Autoři: Meyvaci, Müge Gür, Şevket

Zdroj: Turkish Journal of Mathematics. 49:238-243

Témata: Initial-boundary value problems for systems of linear higher-order PDEs, Thermal effects in solid mechanics, thermoelasticity, Perturbations in context of PDEs, Asymptotic behavior of solutions to PDEs, structural stability, continuous dependence, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Thermodynamics in solid mechanics

Popis souboru: application/xml

Continuous dependence of a beam equation with products of two nonlinear components

Autoři: Le Thi Phuong Ngoc Cao Quoc Duy Nguyen Huu Nhan a další

Zdroj: The Journal of Analysis. 33:839-864

Témata: continuous dependence, Higher-order semilinear hyperbolic equations, beam equation, Faedo-Galerkin method, Rods (beams, columns, shafts, arches, rings, etc.), Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Initial-boundary value problems for higher-order hyperbolic equations

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8035926
https://doi.org/10.1007/s41478-024-00865-7

A remark on the vanishing diffusivity limit of the Keller-Segel equations in Besov spaces

Autoři: Yu, Yanghai Liu, Fang

Zdroj: Discrete and Continuous Dynamical Systems - B. 30:1607-1616

Témata: Quasilinear parabolic equations, Mathematics - Analysis of PDEs, Initial value problems for second-order parabolic systems, inviscid limit, Cell movement (chemotaxis, etc.), Besov spaces, Existence, uniqueness, and regularity theory for incompressible inviscid fluids, FOS: Mathematics, Keller-Segel equations, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Singular perturbations in context of PDEs, Analysis of PDEs (math.AP)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2310.10972

Cross-invariant sets of the coupled nonlinear Schrödinger system with harmonic potentials

Autoři: Zhou, Xinlu Zhang, Jian

Zdroj: Discrete and Continuous Dynamical Systems - B. 30:2729-2739

Témata: global existence, Blow-up in context of PDEs, Variational methods applied to PDEs, NLS equations (nonlinear Schrödinger equations), Time-dependent Schrödinger equations and Dirac equations, coupled nonlinear Schrödinger system, Quantum dynamics and nonequilibrium statistical mechanics (general), Bose-Einstein condensates, Existence problems for PDEs: global existence, local existence, non-existence, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, sharp condition, cross-invariant sets

Popis souboru: application/xml

Nonuniform dependence for high-dimensional modified Euler–Poincaré system with multiplicative noises: Nonuniform dependence for high-dimensional modified Euler-Poincaré system with multiplicative noises

Autoři: Zhang, Lei Liu, Bin

Zdroj: Stochastics and Dynamics. 25

Témata: nonuniform dependence, stochastic MCH2 system, Stochastic partial differential equations (aspects of stochastic analysis), data-to-solution mapping, Applications of stochastic analysis (to PDEs, etc.), PDEs with randomness, stochastic partial differential equations, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8037126
https://doi.org/10.1142/s021949372550011x

The Steady Relativistic Boltzmann Equation in Half-Space: The steady relativistic Boltzmann equation in half-space

Autoři: Jing Ouyang Changguo Xiao

Zdroj: Journal of Statistical Physics. 192

Témata: Special relativity, Boltzmann equations, backward bi-characteristics, boundary layer problem, relativistic Boltzmann equation, Kinetic theory of gases in equilibrium statistical mechanics, PDEs in connection with relativity and gravitational theory, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, diffuse reflection boundary condition

Popis souboru: application/xml

BOUNDARY LAYER-PRESERVING METHODS FOR A CLASS OF NONLINEAR SINGULAR PERTURBATION BOUNDARY VALUE PROBLEMS: Boundary layer-preserving methods for a class of nonlinear singular perturbation boundary value problems

Autoři: Li, Xin Geng, Fazhan

Zdroj: Journal of Applied Analysis & Computation. 13:1972-1982

Témata: Method of contraction of the boundary for boundary value problems involving PDEs, nonlinear singularly perturbed problems, Singular perturbations for ordinary differential equations, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, boundary layers, Theoretical approximation in context of PDEs, reproducing kernel method, Numerical solution of singularly perturbed problems involving ordinary differential equations

Popis souboru: application/xml

Boundedness and global existence in a higher-dimensional parabolic-elliptic-ODE chemotaxis-haptotaxis model with remodeling of non-diffusible attractant

Autoři: Liu, Ling

Zdroj: Journal of Mathematical Analysis and Applications. 549:129473

Témata: global existence, Quasilinear parabolic equations, Cell movement (chemotaxis, etc.), Initial-boundary value problems for second-order parabolic systems, chemotaxis-haptotaxis, boundedness, remodeling of non-diffusible attractant, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, parabolic-elliptic-ODE

Popis souboru: application/xml

Spectral instability of periodic peaked waves in the μ-b-family of Camassa-Holm equations: Spectral instability of periodic peaked waves in the \(\mu\)-\(b\)-family of Camassa-Holm equations

Autoři: Haijing Song Ying Fu Hao Wang

Zdroj: Journal of Differential Equations. 434:113311

Témata: peakons, linearized operator, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Stability in context of PDEs, Initial value problems for nonlinear higher-order PDEs, spectral instability, \(\mu\)-\(b\)-family of the Camassa-Holm equations

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8034592
https://doi.org/10.1016/j.jde.2025.113311

Solvability of nonlinear pseudo‐parabolic equations involving generalized Caputo fractional derivatives: Solvability of nonlinear pseudo-parabolic equations involving generalized Caputo fractional derivatives

Autoři: Nguyen Minh Dien Tran Quoc Viet Ravi P. Agarwal

Zdroj: Mathematical Methods in the Applied Sciences. 47:11846-11873

Témata: generalized Caputo fractional derivatives, Initial value problems for PDEs with pseudodifferential operators, differential equations, pseudo-parabolic, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Fractional partial differential equations, Ultraparabolic equations, pseudoparabolic equations, etc, 01 natural sciences, fixed point theorems

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7996461
https://doi.org/10.1002/mma.9470

An orderly linear PDE system with analytic initial conditions with a non-analytic solution: An orderly linear PDE system with analytic initial conditions with a non-analytic solution.

Autoři: Lemaire, François Calcul Formel (CALFOR) Laboratoire d'Informatique Fondamentale de Lille (LIFL) a další

Přispěvatelé: Lemaire, François Calcul Formel (CALFOR) Laboratoire d'Informatique Fondamentale de Lille (LIFL) a další

Zdroj: Journal of Symbolic Computation. 35:487-498

Témata: [INFO.INFO-SC]Computer Science [cs]/Symbolic Computation [cs.SC], Gevrey series, Algebra and Number Theory, Riquier–Janet, Smoothness and regularity of solutions to PDEs, analyticity Riquier theorem, 0102 computer and information sciences, Differential algebra, PDE, Cauchy-Kovalevskaya theorems, 01 natural sciences, Computational Mathematics, orderly ranking, Characteristic sets, Cauchy–Kovalevskaya theorem, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1968933
https://doi.org/10.1016/s0747-7171(03)00017-8
https://dblp.uni-trier.de/db/journals/jsc/jsc35.html#Lemaire03
https://www.sciencedirect.com/science/article/pii/S0747717103000178
https://hal.archives-ouvertes.fr/hal-00545215
http://www.sciencedirect.com/science/article/pii/S0747717103000178

Continuous Dependence on Initial Data for Discontinuous Solutions of the Navier–Stokes Equations for One-Dimensional, Compressible Flow: Continuous dependence on initial data for discontinuous solutions of the Navier-Stokes equations for one-dimensional, compressible flow

Autoři: David Hoff

Zdroj: SIAM Journal on Mathematical Analysis. 27:1193-1211

Témata: PDEs with low regular coefficients and/or low regular data, Error bounds for initial value and initial-boundary value problems involving PDEs, fractional Sobolev norms, Gas dynamics (general theory), error bounds, Navier-Stokes equations, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, compressible fluid flow, discontinuous solutions, 01 natural sciences, interpolation, approximate solution

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/938782
https://doi.org/10.1137/0527066
https://epubs.siam.org/doi/abs/10.1137/0527066

The initial-boundary value problem for the non-barotropic compressible Euler equations: structural-stability and data dependence: The initial-boundary value problem for the non-barotropic compressible Euler equations: Structural-stability and data dependence

Autoři: BEIRAO DA VEIGA, HUGO

Zdroj: Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 11:297-311

Témata: structural stability, Boundary value problems for nonlinear first-order PDEs, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, Euler equations, 01 natural sciences, sharp data dependence, Second-order nonlinear hyperbolic equations, compressible inviscid fluids

Popis souboru: application/xml

Přístupová URL adresa: http://www.numdam.org/item/AIHPC_1994__11_3_297_0.pdf
https://www.sciencedirect.com/science/article/abs/pii/S029414491630186X
http://ui.adsabs.harvard.edu/abs/1994AIHPC..11..297D/abstract
http://www.numdam.org/item/AIHPC_1994__11_3_297_0/
https://eudml.org/doc/78333
https://hdl.handle.net/11568/27148

On the Nature of Initial-Boundary Value Solutions for Dispersive Equations: On the nature of initial-boundary value solutions for dispersive equations

Autoři: Bengt Fornberg Natasha Flyer

Zdroj: SIAM Journal on Applied Mathematics. 64:546-564

Témata: linear Schrödinger equation, Smoothness and regularity of solutions to PDEs, corner singularities, IBV solutions, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, 01 natural sciences, Singularity in context of PDEs, Boundary value problems for linear higher-order PDEs, dispersive equations, corner basis functions, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, compatibility conditions, linearized KdV equation

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2024195
https://doi.org/10.1137/s0036139902415853

Non-intrusive reduced-order modeling for uncertainty quantification of space–time-dependent parameterized problems: Non-intrusive reduced-order modeling for uncertainty quantification of space-time-dependent parameterized problems

Autoři: Xiang Sun Jung Il Choi

Zdroj: Computers & Mathematics with Applications. 87:50-64

Témata: polynomial chaos expansion, Spectral methods applied to problems in fluid mechanics, proper orthogonal decomposition, uncertainty quantification, Navier-Stokes equations for incompressible viscous fluids, Numerical methods for partial differential equations, boundary value problems, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, 01 natural sciences, Finite element methods applied to problems in fluid mechanics, reduced-order modeling

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7325134
https://doi.org/10.1016/j.camwa.2021.01.015
https://www.sciencedirect.com/science/article/pii/S0898122121000250
https://doi.org/10.1016/j.camwa.2021.01.015
https://dblp.uni-trier.de/db/journals/cma/cma87.html#SunC21
https://yonsei.pure.elsevier.com/en/publications/non-intrusive-reduced-order-modeling-for-uncertainty-quantificati

Unboundedness of Solutions of an Initial-Boundary Value Problem for a Degenerate Nonlinear Parabolic Equation: Unboundedness of solutions of an initial-boundary value problem for a degenerate nonlinear parabolic equation

Autoři: I. L. Pokrovskii

Zdroj: Differential Equations. 37:834-838

Témata: Integro-partial differential equations, Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, blow up, modification of the Gronwall lemma, Asymptotic behavior of solutions to PDEs, 0101 mathematics, Degenerate parabolic equations, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1023/A:1019246805034

Life span of solutions with large initial data in a semilinear parabolic equation

Autoři: Eiji Yanagida Noriko Mizoguchi

Zdroj: Indiana University Mathematics Journal. 50:591-610

Témata: Cauchy problem, Nonlinear parabolic equations, semilinear parabolic equation, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, blow-up time, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1679409
https://doi.org/10.1512/iumj.2001.50.1905
http://www.iumj.indiana.edu/IUMJ/fulltext.php?artid=1905&year=2001&volume=50

Parameter dependence of solutions of partial differential equations in spaces of real analytic functions

Autoři: Paweł Domański José Bonet

Zdroj: Proceedings of the American Mathematical Society. 129:495-503

Témata: LB-space, Spaces of vector- and operator-valued functions, surjectivity of convolution and differential operators, Fréchet space, General theory of PDEs and systems of PDEs with constant coefficients, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Topological invariants ((DN), (\(\Omega\)), etc.) for locally convex spaces, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.ams.org/proc/2001-129-02/S0002-9939-00-05867-6/S0002-9939-00-05867-6.pdf
https://zbmath.org/1534696
https://doi.org/10.1090/s0002-9939-00-05867-6
https://www.ams.org/journals/proc/2001-129-02/S0002-9939-00-05867-6/home.html
https://documat.unirioja.es/servlet/articulo?codigo=726381
https://www.ams.org/proc/2001-129-02/S0002-9939-00-05867-6/S0002-9939-00-05867-6.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=726381

The Failure of Continuous Dependence on Initial data for the Navier–Stokes equations of Compressible Flow: The failure of continuous dependence on initial data for the Navier- Stokes equations of compressible flow

Autoři: David Hoff Denis Serre

Zdroj: SIAM Journal on Applied Mathematics. 51:887-898

Témata: physical solutions, vacuum states, one-dimensional model of isentropic expansion of a compressible gas, momenta, Navier-Stokes equations, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/13862
https://doi.org/10.1137/0151043
https://epubs.siam.org/doi/10.1137/0151043
https://dl.acm.org/doi/10.1137/0151043
https://ui.adsabs.harvard.edu/abs/1991SJAM...51..887H/abstract

Existence, uniqueness, and dependence on a parameter of solutions of differential-functional equations with ordinary and partial derivatives

Autoři: Ya. I. Bigun

Zdroj: Ukrainian Mathematical Journal. 49:798-804

Témata: Averaging method for ordinary differential equations, Cauchy problem, hyperbolic system, Partial functional-differential equations, existence, averaging method, uniqueness, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007/BF02486461