Search Results - "Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs"

Continuous dependence of thermoelasticity problem

Authors: Meyvaci, Müge Gür, Şevket

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

Subject Terms: 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

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

Authors: Yu, Yanghai Liu, Fang

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

Subject Terms: 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)

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Access URL: http://arxiv.org/abs/2310.10972

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

Authors: Zhou, Xinlu Zhang, Jian

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

Subject Terms: 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

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

Authors: Le Thi Phuong Ngoc Cao Quoc Duy Nguyen Huu Nhan et al.

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

Subject Terms: 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

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

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

Authors: Jing Ouyang Changguo Xiao

Source: Journal of Statistical Physics. 192

Subject Terms: 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

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

Authors: Zhang, Lei Liu, Bin

Source: Stochastics and Dynamics. 25

Subject Terms: 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

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Access URL: https://zbmath.org/8037126
https://doi.org/10.1142/s021949372550011x

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

Authors: Liu, Ling

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

Subject Terms: 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

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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

Authors: Haijing Song Ying Fu Hao Wang

Source: Journal of Differential Equations. 434:113311

Subject Terms: 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

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Access URL: 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

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

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

Subject Terms: 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

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

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

Authors: Li, Xin Geng, Fazhan

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

Subject Terms: 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

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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

Authors: Xiang Sun Jung Il Choi

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

Subject Terms: 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

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Access URL: 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

Robust Numerical Methods for Nonlocal (and Local) Equations of Porous Medium Type. Part I: Theory: Robust numerical methods for nonlocal (and local) equations of porous medium type. I: Theory

Authors: Del Teso, F. Endal, J. R. Jakobsen, E.

Source: BIRD. BCAM's Institutional Repository Data
instname
BIRD: BCAM's Institutional Repository Data

Subject Terms: a priori estimates, finite differences, fast diffusion equation, robust methods, 01 natural sciences, nonlocal operators, Mathematics - Analysis of PDEs, porous medium equation, Finite difference methods for initial value and initial-boundary value problems involving PDEs, numerical methods, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Weak solutions to PDEs, nonlinear degenerate diffusion, convergence, fractional Laplacian, Flows in porous media, filtration, seepage, existence, Numerical Analysis (math.NA), Stefan problem, stability, Degenerate parabolic equations, nonlocal oper- ators, Fractional partial differential equations, A priori estimates in context of PDEs, Integro-partial differential equations, monotone methods, distributional solutions, Numerical methods, Initial value problems for second-order parabolic equations, Laplacian, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Analysis of PDEs (math.AP)

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Access URL: https://bird.bcamath.org/bitstream/20.500.11824/1161/1/6.%20Numerics_theo-2018-04-03.pdf
http://arxiv.org/abs/1801.07148
http://hdl.handle.net/20.500.11824/1161
https://zbmath.org/7116294
https://doi.org/10.1137/19m1237041
https://ntnuopen.ntnu.no/ntnu-xmlui/handle/11250/2637804
https://epubs.siam.org/doi/pdf/10.1137/19M1237041
https://doi.org/10.1137/19M1237041
https://bird.bcamath.org/handle/20.500.11824/1161
http://hdl.handle.net/11250/2637804
https://hdl.handle.net/20.500.11824/1161
https://doi.org/10.1137/19m1237041

On a Linear Inverse Problem for a Multidimensional Mixed-Type Equation: On a linear inverse problem for a multidimensional mixed-type equation

Authors: S. Z. Dzhamalov R. R. Ashurov

Source: Differential Equations. 55:34-45

Subject Terms: Inverse problems for PDEs, Boundary value problems for PDEs of mixed type, 0103 physical sciences, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, 01 natural sciences

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Access URL: https://link.springer.com/article/10.1134%2FS001226611901004X

Robust Numerical Methods for Nonlocal (and Local) Equations of Porous Medium Type. Part II: Schemes and Experiments: Robust numerical methods for nonlocal (and local) equations of porous medium type. II: Schemes and experiments

Authors: Del Teso, F. Endal, J. Jacobsen, E.R.

Source: BIRD. BCAM's Institutional Repository Data
instname
BIRD: BCAM's Institutional Repository Data

Subject Terms: a priori estimates, fast diffusion equation, Numerical methods for integral equations, Processes with independent increments, Lévy processes, PDEs in connection with fluid mechanics, 01 natural sciences, nonlocal operators, Mathematics - Analysis of PDEs, porous medium equation, fully discrete, numerical schemes, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Weak solutions to PDEs, nonlinear degenerate diffusion, PDEs in connection with classical thermodynamics and heat transfer, convergence, Flows in porous media, filtration, seepage, existence, uniqueness, Existence problems for PDEs: global existence, local existence, non-existence, Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness, Numerical Analysis (math.NA), Stefan problem, Degenerate parabolic equations, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), Fractional partial differential equations, Integro-partial differential equations, Fully discrete numerical schemes, fractional Laplacian, Laplacian, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, distributional solutions, Analysis of PDEs (math.AP)

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Access URL: https://bird.bcamath.org/bitstream/20.500.11824/870/1/NumericsExp-2018-10-16-Sent.pdf
http://arxiv.org/abs/1804.04985
http://hdl.handle.net/20.500.11824/870
https://zbmath.org/6995703
https://doi.org/10.1137/18m1180748
http://hdl.handle.net/11250/2592687
https://hdl.handle.net/20.500.11824/870

Well-posedness and the small time large deviations of the stochastic integrable equation governing short-waves in a long-wave model

Authors: Hongjun Gao Yong Chen Lili Fan

Source: Nonlinear Analysis: Real World Applications. 29:38-57

Subject Terms: Large deviations, trilinear estimate, KdV equations (Korteweg-de Vries equations), Stochastic partial differential equations (aspects of stochastic analysis), well-posedness, regulation, PDEs with randomness, stochastic partial differential equations, stochastic integrable equation, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, 01 natural sciences, large deviations

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Access URL: https://zbmath.org/6524689
https://doi.org/10.1016/j.nonrwa.2015.10.009
https://www.sciencedirect.com/science/article/pii/S1468121815001340

Global solutions to a special case of the generalized weakly dissipative periodic two-component Camassa–Holm system: Global solutions to a special case of the generalized weakly dissipative periodic two-component Camassa-Holm system

Authors: Byungsoo Moon

Source: Nonlinear Analysis: Theory, Methods & Applications. 117:38-46

Subject Terms: Blow-up in context of PDEs, generalized two-component Camassa-Holm system, Initial-boundary value problems for systems of nonlinear higher-order PDEs, weakly dissipative, wave breaking, global solution, 0103 physical sciences, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, periodic boundary conditions, 01 natural sciences

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Access URL: https://zbmath.org/6419148
https://doi.org/10.1016/j.na.2015.01.008
https://www.sciencedirect.com/science/article/abs/pii/S0362546X15000140

Convexity estimates for the Green’s function: Convexity estimates for the Green's function

Authors: Shujun Shi

Source: Calculus of Variations and Partial Differential Equations. 53:675-688

Subject Terms: Convexity properties of solutions to PDEs with constant coefficients, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, PDEs with measure, 16. Peace & justice, Green's functions for elliptic equations, level sets, 01 natural sciences, elliptic boundary value problem, Green function, convexity estimates, Gaussian curvature, Dirac measure, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs

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Access URL: https://link.springer.com/content/pdf/10.1007%2Fs00526-014-0763-4.pdf
https://link.springer.com/article/10.1007/s00526-014-0763-4

ON THE HYPERBOLIC OBSTACLE PROBLEM OF FIRST ORDER: On the hyperbolic obstacle problem of first order.

Authors: José Francisco Rodrigues

Source: Frontiers in Mathematical Analysis and Numerical Methods ISBN: 9789812389411

Subject Terms: coincidence sets, approximation by semilinear hyperbolic problems, Free boundary problems for PDEs, strong solutions, linear hyperbolic operators of first order, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, 01 natural sciences, Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators

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Access URL: https://zbmath.org/1799642
https://doi.org/10.1142/s0252959902000249
https://www.worldscientific.com/doi/abs/10.1142/S0252959902000249

Global strong solutions of two-dimensional Navier–Stokes equations with nonlinear slip boundary conditions: Global strong solutions of two-dimensional Navier-Stokes equations with nonlinear slip boundary conditions

Authors: Yuan Li Kaitai Li

Source: Journal of Mathematical Analysis and Applications. 393:1-13

Subject Terms: Variational inequality problem, Asymptotic behavior of solutions to PDEs, Applied Mathematics, variational inequality problem, 01 natural sciences, Nonlinear slip boundary, Global strong solution, Navier–Stokes equations, global strong solution, Navier-Stokes equations, 0101 mathematics, Weak solutions to PDEs, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, nonlinear slip boundary, Analysis

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Access URL: https://www.sciencedirect.com/science/article/pii/S0022247X12002636
https://core.ac.uk/display/82607095
http://www.sciencedirect.com/science/article/pii/S0022247X12002636

Justification of a Perturbation Approximation of the Klein–Gordon Equation: Justification of a perturbation approximation of the Klein-Gordon equation

Authors: Roderick Wong X.‐H. Jiang

Source: The Selected Works of Roderick S C Wong ISBN: 9789814656047

Subject Terms: KdV equations (Korteweg-de Vries equations), 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, 01 natural sciences, Asymptotic expansions of solutions to PDEs, Second-order nonlinear hyperbolic equations

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Access URL: https://zbmath.org/1844238
https://doi.org/10.1111/1467-9590.00115
https://www.onlinelibrary.wiley.com/doi/abs/10.1111/1467-9590.00115